WO2023226322A1 - Mechanism- and data driving-based engine cylinder head milled surface quality prediction method - Google Patents

Mechanism- and data driving-based engine cylinder head milled surface quality prediction method Download PDF

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WO2023226322A1
WO2023226322A1 PCT/CN2022/131914 CN2022131914W WO2023226322A1 WO 2023226322 A1 WO2023226322 A1 WO 2023226322A1 CN 2022131914 W CN2022131914 W CN 2022131914W WO 2023226322 A1 WO2023226322 A1 WO 2023226322A1
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milling
model
data
cylinder head
surface roughness
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PCT/CN2022/131914
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French (fr)
Chinese (zh)
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姜兴宇
李家振
徐思迪
刘同明
陈克强
邓建超
杨国哲
刘伟军
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沈阳工业大学
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/27Design optimisation, verification or simulation using machine learning, e.g. artificial intelligence, neural networks, support vector machines [SVM] or training a model
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/02Reliability analysis or reliability optimisation; Failure analysis, e.g. worst case scenario performance, failure mode and effects analysis [FMEA]

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  • the invention relates to a mechanism- and data-driven surface quality prediction method for engine cylinder head milling, relates to the technical field of cylinder head milling mechanism and data-driven milling surface quality prediction, and belongs to the field of automated prediction technology.
  • the cylinder head As the core component of the diesel engine, the cylinder head is made of vermicular graphite cast iron RuT400 material. It is difficult to process and requires high precision. It is a porous, thin-walled box component. Its processing quality determines the sealing performance and service life of the engine. Milling is the main processing method for cylinder head production, and the surface milling process accounts for more than 60% of the man-hours. Therefore, exploring the surface quality prediction method of cylinder head milling is of great engineering significance to improve the assembly accuracy and sealing performance of the cylinder head and ensure the long-term stable operation of the engine.
  • the present invention aims to provide a mechanism- and data-driven surface quality prediction method for engine cylinder head milling, which can avoid the accuracy of prediction results caused by a single input variable data type of the prediction model and improper selection of internal parameters of the model. Low cost and time consuming problem.
  • surface roughness is determined to be the key quality characteristic of cylinder head surface milling, and based on the metal milling surface formation mechanism, the three elements of milling and process state variable data are determined to be the key influencing factors of cylinder head milling surface quality;
  • a milling force mechanism model based on semi-analytical method and a milling thermal mechanism model based on heat source method were constructed, and the process parameter data, process state variables and their The corresponding milling surface roughness value constitutes a data set and is input to the historical database; again, in the data-driven cylinder head milling surface roughness prediction part, the milling force and milling heat data, process parameters and surface roughness measurements output by the mechanism model are comprehensively considered.
  • the present invention achieves accurate and real-time prediction of the cylinder head milling surface roughness value, and greatly reduces the cost and cost of obtaining state variable data in the milling process.
  • the prediction model running time has the advantages of high prediction accuracy, short model time and low cost.
  • the present invention provides a mechanism-based and data-driven surface quality prediction method for engine cylinder head milling, which includes the following steps:
  • surface roughness is determined as the key evaluation index of milling surface quality.
  • the surface roughness of the cylinder head milling is measured using a surface roughness meter, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, each tooth Feed rate, back cutting amount and process state variables milling force and milling heat are the key influencing factors;
  • a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism.
  • the model output is instantaneous milling force and milling heat data based on the current process parameters, and a data set is constructed and stored in the historical database based on the process parameters collected during the milling process, the process state variable data output by the mechanism model, and the measured surface roughness values;
  • the milling force and milling heat data output by the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model.
  • the measured surface roughness value of the cylinder head milling is the model output, and a milling optimization SVR based on the adaptive differential evolution algorithm is constructed.
  • Surface roughness prediction model and initially determine the prediction model parameter range;
  • step (2) Use the milling process to obtain real-time data to predict the cylinder head milling surface roughness value, and compare whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild Mechanism model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and process parameter combinations with poor prediction results will be adjusted in a timely manner.
  • the real-time status data set will be imported into the historical database , used for prediction model training.
  • Step (2) includes the following sub-steps:
  • Step (3) includes the following sub-steps:
  • the milling force and milling heat data output from the mechanism model are combined with the current corresponding milling three-element data and normalized using the max-min method.
  • the processed variable data is distributed in the range of [0,1];
  • the function domain is (- ⁇ , + ⁇ ), and the value range is (-1,1).
  • CR max is the maximum crossover probability
  • CR min is the minimum crossover probability
  • the crossover probability CR is between CR max and CR changes within the min range
  • the internal parameters of the SVR model obtained by optimizing the training data are determined as the best parameter combination, and the cylinder head milling surface roughness value is predicted by inputting real-time process parameters and state variable data.
  • the actual sample data of cylinder head production is used to verify the output accuracy of the prediction model, and the prediction is evaluated by analyzing the algorithm operation time and the residual difference between the actual value and the predicted value. Performance of the model. If the accuracy of the prediction model does not meet the error requirements, return to steps (2) and (3) to recalculate the milling mechanism model and train the data-driven model to find the best combination of model parameters.
  • a mechanism- and data-driven surface quality prediction method for engine cylinder head milling is provided.
  • the prediction method mainly includes the following steps:
  • surface roughness is determined as the key evaluation index of milling surface quality.
  • the surface roughness measuring instrument is used to measure the cylinder head milling surface roughness, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, The feed per tooth, the amount of back tool engagement, process state variable data, milling force, and milling heat are the key influencing factors;
  • a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism.
  • the model output is the instantaneous milling force and milling heat data calculated based on the current process parameter values.
  • the process parameters, state variable data and measured surface roughness values collected during the milling process are constructed to construct a data set and stored in the historical database;
  • the milling force and milling heat data output from the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model.
  • the measured surface roughness value of the cylinder head milling is the model output, and a cylinder optimized SVR based on the adaptive differential evolution algorithm is constructed. Cover milling surface roughness prediction model, determine the model parameter range, and use the data set in the historical database to train the prediction model;
  • step (2) Use real-time milling process data to predict the cylinder head milling surface roughness, and analyze whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild the mechanism. Model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and the process parameters will be adjusted in a timely manner if the prediction results are not good.
  • the milling force mechanism model based on the semi-analytical method
  • the shearing mechanism and the plowing mechanism are comprehensively considered, and the milling force is composed of the shearing force and the plowing force.
  • the cutting edges of N inserts are differentiated and discretized into M micro-elements along the axis direction. Then the instantaneous cutting force of the k-th cutting micro-element on the j-th cutting edge is calculated as:
  • df tjk , df rjk , and df ajk are respectively the tangential, radial, and axial cutting forces of the k-th cutting element on the j-th cutting edge, and K ts , K rs , and K as are the tangential,
  • the radial and axial shear force coefficients, in N/mm 2 are usually related to milling process parameters; K te , K re , and Kae are the tangential, radial, and axial plow shear force coefficients, respectively.
  • the unit is N/mm.
  • dh is the projection of the cutting depth in the axial direction
  • ds is the arc length of the cutting edge element
  • f z is the feed per tooth.
  • g( ⁇ jk ) is the unit transition function
  • the calculation formula for converting the micro-element milling force in the insert coordinate system to the tool coordinate system is:
  • the milling resultant force The larger the number M of milling elements that discretely divides the cutting edge of the milling tool, the more accurate the milling force calculation results will be.
  • the milling force coefficient is an important parameter in the milling force model.
  • the experimental fast calibration method is used to solve the milling force coefficient. When the milling speed and back cutting amount are fixed, the feed parameters of each tooth are changed, the three-dimensional average milling force of a single tooth in one cycle is measured, and the milling force coefficient is identified using linear regression analysis.
  • the cutting heat generated by the work of the shear surface milling force in the first deformation zone is regarded as the only heat source
  • the shape of the shear surface is regarded as a regular rectangle
  • the size of the rectangular surface is related to the tool
  • the diameter is related to the milling depth
  • the milling thermal modeling is transformed into a problem of solving the workpiece surface temperature field of a moving finite large-area heat source.
  • another temperature field is used to represent the boundary effect within the investigation boundary, and the temperature fields of the two surface heat sources are superimposed.
  • the uniqueness of the solution indicates that the temperature field is equal to the solution of the boundary value problem.
  • ⁇ and b are evaluated by the following formula:
  • C and L are the penalty coefficient and cost function, that is, the C value represents the degree of punishment for data exceeding the L value.
  • the Gaussian radial basis kernel function is usually selected as the kernel function of the prediction model, which can be expressed as:
  • the support vector regression model penalty coefficient C affects the model complexity and error approximation, and determines the model learning ability.
  • the parameter ⁇ of the cost function L controls the width of the fitted strip of the regression function.
  • the kernel width ⁇ of the Gaussian radial basis kernel function determines the radial action range. Therefore, the three parameter (C, ⁇ , ⁇ ) values inside the support vector regression model are used as optimization targets.
  • the parameter C range when determining the parameter C range, first estimate the value of parameter C based on the target value expression, and then compare the estimated value of C with 50% of the average value of the target variable. As a standard deviation-mean normal distribution, the range of parameter C is finally determined on both sides of the estimated value.
  • y bar and ⁇ t are the standard deviation and mean of the target variable respectively.
  • Z is the number of parameters that affect surface roughness.
  • the scaling factor F value in the algorithm can be expressed as:
  • t is the current number of iterations of the population
  • T is the total number of iterations set by the population.
  • the crossover probability CR parameter value in the algorithm can be expressed as:
  • CR max is the maximum crossover probability
  • CR min is the minimum crossover probability
  • the crossover probability CR changes within the range of CR max and CR min .
  • the mechanism-based and data-driven surface quality prediction method for engine cylinder head milling provided by the present invention mainly has the following beneficial effects:
  • the cylinder head milling surface quality prediction model is more accurate and more interpretable, which has guiding significance for the actual production of cylinder heads.
  • the parameter optimization range has been initially determined, the search time has been shortened, and the adaptive differential evolution algorithm has been used to optimize the model parameters.
  • the search time has been shortened, and the adaptive differential evolution algorithm has been used to optimize the model parameters.
  • the adaptive differential evolution algorithm In the early stage of algorithm operation, it can ensure the diversity of individuals in the population and the Improved global search capabilities can speed up algorithm convergence in the later stages of algorithm operation.
  • Figure 1 is a schematic flowchart of a mechanism- and data-driven surface quality prediction method for engine cylinder head milling provided by an embodiment of the present invention.
  • Figure 2 shows the indexable milling cutter face milling model diagram.
  • Figure 3 is a linear regression diagram of the milling force coefficient solved by the experimental calibration method.
  • Figure 4 is a schematic diagram of the temperature field of a moving finite large-area heat source.
  • Figure 5 shows the milling experiment plus platform.
  • Figure 6 is a schematic diagram of the acquisition of force and thermal data in milling experiments.
  • Figures 7(1) and 7(2) are the milling force and milling heat measurement data graphs respectively.
  • Figure 8 shows the structure of the surface roughness prediction model.
  • Figure 9 is a support vector regression diagram.
  • Figure 10 shows the surface roughness prediction model process.
  • Figure 11 is a comparison chart between the output value of the surface roughness prediction model and the actual value.
  • Figure 12 is a residual diagram between the output value of the surface roughness prediction model and the actual value.
  • Figure 1 is a schematic flow chart of a mechanism- and data-driven surface quality prediction method for engine cylinder head milling provided by an embodiment of the present invention.
  • Figure 2 shows the indexable milling cutter face milling model diagram.
  • Figure 3 is a linear regression diagram of the milling force coefficient solved by the experimental calibration method.
  • Figure 4 is a schematic diagram of the temperature field of a moving finite large-area heat source.
  • Figure 5 shows the milling experiment plus platform.
  • Figure 6 is a schematic diagram of the acquisition of force and thermal data in milling experiments.
  • Figures 7(1) and 7(2) are the milling force and milling heat measurement data graphs respectively.
  • Figure 8 shows the structure of the surface roughness prediction model.
  • Figure 9 is a support vector regression diagram.
  • Figure 10 shows the surface roughness prediction model process.
  • Figure 11 is a comparison chart between the output value of the surface roughness prediction model and the actual value.
  • Figure 12 is a residual diagram between the output value of the surface roughness prediction model and the actual value.
  • the present invention provides a mechanism- and data-driven surface quality prediction method for engine cylinder head milling, which includes the following steps:
  • surface roughness is determined as the key evaluation index of milling surface quality.
  • the surface roughness of the cylinder head milling is measured using a surface roughness meter, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, each tooth Feed rate, back cutting amount and process state variables milling force and milling heat are the key influencing factors;
  • a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism.
  • the model output is instantaneous milling force and milling heat data based on the current process parameters, and a data set is constructed and stored in the historical database based on the process parameters collected during the milling process, the process state variable data output by the mechanism model, and the measured surface roughness values;
  • the milling force and milling heat data output by the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model.
  • the measured surface roughness value of the cylinder head milling is the model output, and a milling optimization SVR based on the adaptive differential evolution algorithm is constructed.
  • Surface roughness prediction model and initially determine the prediction model parameter range;
  • step (2) Use the milling process to obtain real-time data to predict the cylinder head milling surface roughness value, and compare whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild Mechanism model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and process parameter combinations with poor prediction results will be adjusted in a timely manner.
  • the real-time status data set will be imported into the historical database , used for prediction model training.
  • Step (2) includes the following sub-steps:
  • Step (3) includes the following sub-steps:
  • the milling force and milling heat data output from the mechanism model are combined with the current corresponding milling three-element data and normalized using the max-min method.
  • the processed variable data is distributed in the range of [0,1];
  • the function domain is (- ⁇ , + ⁇ ), and the value range is (-1,1).
  • CR max is the maximum crossover probability
  • CR min is the minimum crossover probability
  • the crossover probability CR is between CR max and CR changes within the min range
  • the internal parameters of the SVR model obtained by optimizing the training data are determined as the best parameter combination, and the cylinder head milling surface roughness value is predicted by inputting real-time process parameters and state variable data.
  • the actual sample data of cylinder head production is used to verify the output accuracy of the prediction model, and the prediction is evaluated by analyzing the algorithm operation time and the residual difference between the actual value and the predicted value. Performance of the model. If the accuracy of the prediction model does not meet the error requirements, return to steps (2) and (3) to recalculate the milling mechanism model and train the data-driven model to find the best combination of model parameters.
  • the present invention provides a mechanism- and data-driven surface quality prediction method for engine cylinder head milling.
  • the provided monitoring method is completed in the following steps: First, determine the surface roughness according to the production conditions of the engine cylinder head. As a key evaluation index of milling surface quality, the cylinder head milling surface roughness is measured, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, feed per tooth, back cutting amount and process state variable data milling force, milling Heat is the key influencing factor; secondly, considering the high cost of using sensors to collect milling force and milling heat data in cylinder head production, a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder Cover milling mechanism, the output of the mechanism model is instantaneous milling force and milling heat data calculated based on the current process parameter values, and a data set of process parameters, state variable data and measured surface roughness values
  • milling surface roughness prediction model initially determine the model parameter range, and use the data set in the historical database to train the prediction model; finally, use real-time milling process data to predict the cylinder head milling surface roughness, and compare the model output surface roughness value with the actual measured value Whether the error between them meets the requirements. If it does not meet the accuracy requirements, the mechanism model and the data-driven model will be rebuilt. If it meets the accuracy requirements, it will be further judged whether the surface roughness value meets the production quality requirements, and the poor prediction results will be reported in a timely manner. Adjust process parameters.
  • the present invention's mechanism- and data-driven surface quality prediction method for engine cylinder head milling mainly includes the following steps:
  • surface roughness is determined as the key evaluation index of milling surface quality.
  • the surface roughness measuring instrument is used to measure the cylinder head milling surface roughness, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, The feed per tooth, the amount of back tool engagement, process state variable data, milling force, and milling heat are the key influencing factors;
  • a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism.
  • the model output is the instantaneous milling force and milling heat data calculated based on the current process parameter values.
  • the process parameters, state variable data and measured surface roughness values collected during the milling process are constructed to construct a data set and stored in the historical database;
  • the milling force and milling heat data output from the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model.
  • the measured surface roughness value of the cylinder head milling is the model output, and a cylinder optimized SVR based on the adaptive differential evolution algorithm is constructed. Cover milling surface roughness prediction model, determine the model parameter range, and use the data set in the historical database to train the prediction model;
  • step (2) Use real-time milling process data to predict the cylinder head milling surface roughness, and analyze whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild the mechanism. Model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and the process parameters will be adjusted in a timely manner if the prediction results are not good.
  • the milling force mechanism model based on the semi-analytical method
  • the shearing mechanism and the plowing mechanism are comprehensively considered, and the milling force is composed of the shearing force and the plowing force.
  • the cutting edges of N inserts are differentiated and discretized into M micro-elements along the axis direction. Then the instantaneous cutting force of the k-th cutting micro-element on the j-th cutting edge is calculated as:
  • df tjk , df rjk , and df ajk are respectively the tangential, radial, and axial cutting forces of the k-th cutting element on the j-th cutting edge, and K ts , K rs , and K as are the tangential,
  • the radial and axial shear force coefficients, in N/mm 2 are usually related to milling process parameters; K te , K re , and Kae are the tangential, radial, and axial plow shear force coefficients, respectively.
  • the unit is N/mm.
  • dh is the projection of the cutting depth in the axial direction
  • ds is the arc length of the cutting edge element
  • f z is the feed per tooth.
  • g( ⁇ jk ) is the unit transition function
  • the calculation formula for converting the micro-element milling force in the insert coordinate system to the tool coordinate system is:
  • the milling resultant force The larger the number M of milling elements that discretely divides the cutting edge of the milling tool, the more accurate the milling force calculation results will be.
  • the milling force coefficient is an important parameter in the milling force model.
  • the experimental fast calibration method is used to solve the milling force coefficient. When the milling speed and back cutting amount are fixed, the feed parameters of each tooth are changed, the three-dimensional average milling force of a single tooth in one cycle is measured, and the milling force coefficient is identified using linear regression analysis.
  • the cutting heat generated by the work of the shear surface milling force in the first deformation zone is regarded as the only heat source
  • the shape of the shear surface is regarded as a regular rectangle
  • the size of the rectangular surface is related to the tool
  • the diameter is related to the milling depth
  • the milling thermal modeling is transformed into a problem of solving the workpiece surface temperature field of a moving finite large-area heat source.
  • another temperature field is used to represent the boundary effect within the investigation boundary, and the temperature fields of the two surface heat sources are superimposed.
  • the uniqueness of the solution indicates that the temperature field is equal to the solution of the boundary value problem.
  • ⁇ and b are evaluated by the following formula:
  • C and L are the penalty coefficient and cost function, that is, the C value represents the degree of punishment for data exceeding the L value.
  • the Gaussian radial basis kernel function is usually selected as the kernel function of the prediction model, which can be expressed as:
  • the support vector regression model penalty coefficient C affects the model complexity and error approximation, and determines the model learning ability.
  • the parameter ⁇ of the cost function L controls the width of the fitted strip of the regression function.
  • the kernel width ⁇ of the Gaussian radial basis kernel function determines the radial action range. Therefore, the three parameter (C, ⁇ , ⁇ ) values inside the support vector regression model are used as optimization targets.
  • the parameter C range when determining the parameter C range, first estimate the value of parameter C based on the target value expression, and then compare the estimated value of C with 50% of the average value of the target variable. As a standard deviation-mean normal distribution, the range of parameter C is finally determined on both sides of the estimated value.
  • y bar and ⁇ t are the standard deviation and mean of the target variable respectively.
  • Z is the number of parameters that affect surface roughness.
  • the scaling factor F value in the algorithm can be expressed as:
  • t is the current number of iterations of the population
  • T is the total number of iterations set by the population.
  • the crossover probability CR parameter value in the algorithm can be expressed as:
  • CR max is the maximum crossover probability
  • CR min is the minimum crossover probability
  • the crossover probability CR changes within the range of CR max and CR min .
  • the surface roughness is determined as the key evaluation index of milling surface quality, and the three elements of milling are identified: milling speed, feed per tooth, back cutting amount and process state variables.
  • Data milling force and milling heat are the key factors affecting the quality of cylinder head bottom surface milling.
  • the surface roughness value of the cylinder head milling corresponding to the process parameters was measured using a surface roughness meter, and the real-time milling force and milling heat data were calculated through the constructed milling force and milling thermal mechanism model.
  • the data is preprocessed after obtaining the data.
  • the preprocessing results are shown in Table 1.
  • the preprocessed data set is used to train the surface roughness prediction model to obtain the best internal parameter combination of the model.
  • the SVR optimized by the adaptive differential evolution algorithm is used to predict the surface roughness value of the cylinder head bottom surface milling.
  • the model training and verification platform is MATLAB.
  • the computer parameters are i5-6200U processor and the memory is 2.30GHz.
  • the calculated estimated value of C is 4.9561.
  • the preliminary range of SVR internal parameters is determined as shown in Table 2.
  • equation (9) is used to fix the nonlinear F value range within 0.4-1, retaining the advantage of smooth transition of the change curve, so that the scaling factor F can be used in the early stage of the algorithm iteration. Take a larger value to maintain the diversity of individuals in the population, and take a smaller value in the later local optimization process to speed up the convergence of the algorithm.
  • CR takes a smaller value to improve the global search capability.
  • the CR value increases nonlinearly, speeding up the convergence speed and helping to determine the optimal individual.
  • the algorithm population size NP is set to 50 and the number of iterations M is set to 200.
  • the trained milling surface roughness prediction model was input into real-time process parameters and mechanism model output data.
  • the output results showed that the prediction model achieved good prediction results on real-time data.
  • the error between the output results of the prediction model and the actual milling surface roughness value is shown in Figures 11 and 12.

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Abstract

The present invention relates to a mechanism- and data driving-based engine cylinder head milled surface quality prediction method, belonging to the technical field of automated prediction. The method comprises the following steps: determining a key evaluation index and key influence factors for cylinder head milled surface quality; collecting process parameters and a surface roughness value; on the basis of a cylinder head milling mechanical state, constructing milling force and heat mechanism models based on a semi-analytical method and a heat source method; acquiring state variable data, preprocessing same and storing same in a historical database; constructing a surface roughness prediction model based on SVR optimized by an ADE algorithm, the process parameters and the state variable data outputted by the mechanism models being taken as an input of a data driving model and a surface roughness value being taken as an output thereof, and performing training by means of historical data to obtain an SVR optimal parameter combination; and, by means of real-time process parameters and the state variable data outputted by the mechanism models, predicting a milled surface roughness. The method has the advantages of high model state characterization capability and low state variable data acquisition cost, and can realize accurate prediction of cylinder head milled surface quality.

Description

一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法A mechanism-based and data-driven surface quality prediction method for engine cylinder head milling 技术领域Technical field
本发明涉及一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,涉及缸盖铣削机理与数据驱动铣削表面质量预测技术领域,属于自动化预测技术领域。The invention relates to a mechanism- and data-driven surface quality prediction method for engine cylinder head milling, relates to the technical field of cylinder head milling mechanism and data-driven milling surface quality prediction, and belongs to the field of automated prediction technology.
背景技术Background technique
缸盖作为柴油发动机的核心构件,铸造材质为蠕墨铸铁RuT400材料,加工难度大,精度要求高,属于多孔隙、薄壁箱体类部件,其加工质量决定着发动机的密封性能和使用寿命。铣削是缸盖生产的主要加工方式,表面铣削工序工时占比60%以上。因此,探究缸盖铣削表面质量预测方法,对提升缸盖的装配精度和密封性能,保证发动机长期稳定运行具有重要工程意义。As the core component of the diesel engine, the cylinder head is made of vermicular graphite cast iron RuT400 material. It is difficult to process and requires high precision. It is a porous, thin-walled box component. Its processing quality determines the sealing performance and service life of the engine. Milling is the main processing method for cylinder head production, and the surface milling process accounts for more than 60% of the man-hours. Therefore, exploring the surface quality prediction method of cylinder head milling is of great engineering significance to improve the assembly accuracy and sealing performance of the cylinder head and ensure the long-term stable operation of the engine.
现有研究与应用表明,缸盖铣削表面质量预测技术达到了一定水平,但现有方法的适用范围仍存在一定局限性,尚未达到自动化高效预测的程度,在生产实际中存在模型输入变量数据类型单一、模型内部参数选取不当导致预测结果精度低、耗时长的问题,造成缸盖铣削表面质量不符合生产要求,发动机密封性能差,废品率高,经济损失严重。Existing research and applications show that the surface quality prediction technology for cylinder head milling has reached a certain level, but the scope of application of existing methods still has certain limitations, and it has not yet reached the level of automated and efficient prediction. In actual production, there are model input variable data types. Single and improper selection of internal parameters of the model lead to low accuracy and long time-consuming prediction results, resulting in cylinder head milling surface quality that does not meet production requirements, poor engine sealing performance, high scrap rate, and serious economic losses.
发明内容Contents of the invention
针对以上技术需求及问题,本发明旨在提供一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,其能够避免因预测模型输入变量数据类型单一、模型内部参数选取不当导致预测结果精度低、耗时长的问题。首先,根据缸盖实际加工条件确定表面粗糙度为缸盖表面铣削关键质量特性,并基于金属铣削表面形成机理确定铣削三要素及过程状态变量数据为缸盖铣削表面质量关键影响因素;其次,考虑到过程状态变量铣削力、铣削热数据获取 难度大、成本高的特点,构建基于半解析法的铣削力机理模型和基于热源法的铣削热机理模型,并将工艺参数数据、过程状态变量及其对应的铣削表面粗糙度值构成数据集输入至历史数据库;再次,在数据驱动的缸盖铣削表面粗糙度预测部分,综合考虑机理模型输出的铣削力及铣削热数据、工艺参数和表面粗糙度测量值,构建基于自适应差分进化算法优化SVR的缸盖铣削表面粗糙度预测模型,将工艺参数数据及铣削力、铣削热数据作为表面粗糙度预测模型的输入,对应表面粗糙度值作为模型输出,利用历史数据库中数据集训练预测模型;最后,将实时铣削工艺参数及状态变量数据代入至训练完成的表面粗糙度预测模型,输出实时预测的表面粗糙度值,对预测结果不佳的工艺参数组合及时进行修正与调整,并将预测精准度较高的数据集组合导入历史数据库中,不断训练更新预测模型参数,从而提高预测模型精度。本发明通过增加数据驱动预测模型输入变量类型、缩小回归模型参数搜索范围、自适应调整智能算法参数变化,实现精准实时预测缸盖铣削表面粗糙度值,并大幅降低铣削过程状态变量数据获取成本及预测模型运行时间,具有预测准确率高、模型耗时短、成本低的优点。In response to the above technical needs and problems, the present invention aims to provide a mechanism- and data-driven surface quality prediction method for engine cylinder head milling, which can avoid the accuracy of prediction results caused by a single input variable data type of the prediction model and improper selection of internal parameters of the model. Low cost and time consuming problem. First, based on the actual processing conditions of the cylinder head, surface roughness is determined to be the key quality characteristic of cylinder head surface milling, and based on the metal milling surface formation mechanism, the three elements of milling and process state variable data are determined to be the key influencing factors of cylinder head milling surface quality; secondly, consider In view of the difficulty and high cost in obtaining process state variables milling force and milling heat data, a milling force mechanism model based on semi-analytical method and a milling thermal mechanism model based on heat source method were constructed, and the process parameter data, process state variables and their The corresponding milling surface roughness value constitutes a data set and is input to the historical database; again, in the data-driven cylinder head milling surface roughness prediction part, the milling force and milling heat data, process parameters and surface roughness measurements output by the mechanism model are comprehensively considered. value, construct a cylinder head milling surface roughness prediction model based on adaptive differential evolution algorithm to optimize SVR, use process parameter data, milling force, and milling heat data as the input of the surface roughness prediction model, and the corresponding surface roughness value is used as the model output. The prediction model is trained using the data set in the historical database; finally, the real-time milling process parameters and state variable data are substituted into the trained surface roughness prediction model, and the real-time predicted surface roughness value is output, and the combination of process parameters with poor prediction results is output Make timely corrections and adjustments, import data set combinations with higher prediction accuracy into the historical database, and continuously train and update the prediction model parameters to improve the accuracy of the prediction model. By increasing the input variable types of the data-driven prediction model, narrowing the regression model parameter search range, and adaptively adjusting the parameter changes of the intelligent algorithm, the present invention achieves accurate and real-time prediction of the cylinder head milling surface roughness value, and greatly reduces the cost and cost of obtaining state variable data in the milling process. The prediction model running time has the advantages of high prediction accuracy, short model time and low cost.
为实现上述目的,本发明提供一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,包括以下步骤:In order to achieve the above objectives, the present invention provides a mechanism-based and data-driven surface quality prediction method for engine cylinder head milling, which includes the following steps:
(1)根据缸盖生产条件确定表面粗糙度为铣削表面质量关键评价指标,利用表面粗糙度仪测得缸盖铣削表面粗糙度,并基于金属铣削表面形成机理识别铣削三要素铣削速度、每齿进给量、背吃刀量及过程状态变量铣削力、铣削热为关键影响因素;(1) According to the production conditions of the cylinder head, surface roughness is determined as the key evaluation index of milling surface quality. The surface roughness of the cylinder head milling is measured using a surface roughness meter, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, each tooth Feed rate, back cutting amount and process state variables milling force and milling heat are the key influencing factors;
(2)考虑到缸盖生产中利用传感器收集铣削力及铣削热数据成本高的特点,构建基于半解析法的铣削力机理模型和基于热源法的铣削热机理模型,探究缸盖铣削机理,机理模型输出为根据当前工艺参数下的瞬时铣削力及铣削热数据,并将铣削过程所收集工艺参数、机理模型输出过程状态变量数据及测得表面粗糙度值构建数据集存储至历史数据库中;(2) Considering the high cost of using sensors to collect milling force and milling heat data in cylinder head production, a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism. The model output is instantaneous milling force and milling heat data based on the current process parameters, and a data set is constructed and stored in the historical database based on the process parameters collected during the milling process, the process state variable data output by the mechanism model, and the measured surface roughness values;
(3)将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素作 为数据驱动模型输入,测量得到缸盖铣削表面粗糙度值为模型输出,构建基于自适应差分进化算法优化SVR的铣削表面粗糙度预测模型,并初步确定预测模型参数范围;(3) The milling force and milling heat data output by the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model. The measured surface roughness value of the cylinder head milling is the model output, and a milling optimization SVR based on the adaptive differential evolution algorithm is constructed. Surface roughness prediction model, and initially determine the prediction model parameter range;
(4)利用铣削过程获取实时数据预测缸盖铣削表面粗糙度值,比较模型输出表面粗糙度值与实际测量值间误差是否符合要求,若不符合精度要求,则返回步骤(2),重新构建机理模型及数据驱动模型;若符合精度要求,则进一步判断表面粗糙度值是否符合生产质量需求,并对预测结果不佳的工艺参数组合及时调整,同时,将实时状态数据集导入至历史数据库中,用作预测模型训练。(4) Use the milling process to obtain real-time data to predict the cylinder head milling surface roughness value, and compare whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild Mechanism model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and process parameter combinations with poor prediction results will be adjusted in a timely manner. At the same time, the real-time status data set will be imported into the historical database , used for prediction model training.
在上述基于机理与数据驱动的发动机缸盖铣削表面质量预测方法中,步骤(1)中确定表面粗糙度为缸盖铣削表面质量评价指标,原因是缸盖表面粗糙度测量成本低、状态表征能力强,且属于可量化性指标,同时,基于金属表面形成机理识别铣削三要素及铣削力、铣削热数据为铣削表面质量关键影响因素。步骤(2)包括如下子步骤:In the above-mentioned mechanism- and data-driven engine cylinder head milling surface quality prediction method, the surface roughness is determined as the cylinder head milling surface quality evaluation index in step (1). The reason is that the cylinder head surface roughness measurement cost is low and the state characterization ability is Strong and quantifiable indicators. At the same time, based on the metal surface formation mechanism, the three elements of milling and milling force and milling heat data are identified as the key influencing factors of milling surface quality. Step (2) includes the following sub-steps:
(21)综合考虑铣削的剪切机制和犁切机制,将N个刀片的切削刃沿轴线方向微分并离散为M个微元,求得刀片坐标系上第j个切削刃上第k个切削微元的瞬时切削力表达式;(21) Comprehensively consider the shearing mechanism and plowing mechanism of milling, differentiate and discretize the cutting edges of N blades into M micro-elements along the axial direction, and obtain the k-th cutting edge on the j-th cutting edge in the blade coordinate system. The instantaneous cutting force expression of micro-element;
(22)将铣刀刀片坐标系内的微元铣削力转换到刀具坐标系内,并沿轴线方向积分,对N个铣削刃上铣削力求和,得到作用在铣刀上三个方向的瞬时铣削力;(22) Convert the micro-element milling force in the milling cutter blade coordinate system to the tool coordinate system, integrate it along the axis direction, and sum the milling forces on the N milling edges to obtain the instantaneous milling force acting on the milling cutter in three directions. force;
(23)基于快速标定法辨识铣削力系数,通过若干次铣削实验测得三向铣削力的平均值反求铣削力系数;(23) Based on the rapid calibration method, the milling force coefficient is identified, and the average value of the three-dimensional milling force measured through several milling experiments is used to calculate the milling force coefficient;
(24)在已知铣削加工中的每齿进给量、背吃刀量等参数情况下,可快速计算工件表面所受三向瞬时铣削力及铣削合力;(24) When parameters such as the feed per tooth and the amount of back tool engagement in milling are known, the three-dimensional instantaneous milling force and the resultant milling force on the workpiece surface can be quickly calculated;
(25)通过导热微分方程求解瞬时点热源所产生温度场,并计算将线热源微分离散为无数个微元点时产生的温度场;(25) Solve the temperature field generated by the instantaneous point heat source through the thermal conduction differential equation, and calculate the temperature field generated when the line heat source is differentially dispersed into countless micro-element points;
(26)推导移动有限大面热源所产生温度场,并迭加各个面热源温度场, 采用镜像法获得温度场边界条件解,求得铣削表面温度场任意点的瞬时温度。步骤(3)包括如下子步骤:(26) The temperature field generated by the moving finite-large surface heat source is derived, and the temperature fields of each surface heat source are superimposed. The mirror method is used to obtain the temperature field boundary condition solution, and the instantaneous temperature at any point of the milling surface temperature field is obtained. Step (3) includes the following sub-steps:
(31)将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素数据采用最大最小法归一化处理,处理后的变量数据分布在[0,1]范围内;(31) The milling force and milling heat data output from the mechanism model are combined with the current corresponding milling three-element data and normalized using the max-min method. The processed variable data is distributed in the range of [0,1];
(32)选取SVR用作回归预测,并初步确定支持向量回归机内部三个参数范围,缩小搜索空间;(32) Select SVR for regression prediction, and initially determine the three parameter ranges within the support vector regression machine to narrow the search space;
(33)DE算法内部参数缩放因子F和交叉概率CR分别按照下式自适应变化,并利用自适应差分进化算法对支持向量回归模型寻优;(33) The internal parameter scaling factor F and crossover probability CR of the DE algorithm are adaptively changed according to the following formula, and the adaptive differential evolution algorithm is used to optimize the support vector regression model;
Figure PCTCN2022131914-appb-000001
Figure PCTCN2022131914-appb-000001
式中,函数定义域为(-∞,+∞),值域为(-1,1),式中,CR max为最大交叉概率,CR min为最小交叉概率,交叉概率CR在CR max和CR min范围内变化, In the formula, the function domain is (-∞, +∞), and the value range is (-1,1). In the formula, CR max is the maximum crossover probability, CR min is the minimum crossover probability, and the crossover probability CR is between CR max and CR changes within the min range,
(34)将训练数据寻优得到的SVR模型内部参数确定为最佳参数组合,通过输入实时工艺参数及状态变量数据预测缸盖铣削表面粗糙度值。(34) The internal parameters of the SVR model obtained by optimizing the training data are determined as the best parameter combination, and the cylinder head milling surface roughness value is predicted by inputting real-time process parameters and state variable data.
在上述基于机理与数据驱动的发动机缸盖铣削表面质量预测方法中,利用缸盖生产实际样本数据验证预测模型输出精度,并通过分析算法运算时间及实际值与预测值间的残差以评估预测模型的性能,若预测模型精度未达到误差要求,则返回步骤(2)、(3),重新计算铣削机理模型,并训练数据驱动模型,寻找最佳模型参数组合。In the above-mentioned mechanism- and data-driven surface quality prediction method for engine cylinder head milling, the actual sample data of cylinder head production is used to verify the output accuracy of the prediction model, and the prediction is evaluated by analyzing the algorithm operation time and the residual difference between the actual value and the predicted value. Performance of the model. If the accuracy of the prediction model does not meet the error requirements, return to steps (2) and (3) to recalculate the milling mechanism model and train the data-driven model to find the best combination of model parameters.
按照本发明的一个方面,提供了一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,所述预测方法主要包括以下步骤:According to one aspect of the present invention, a mechanism- and data-driven surface quality prediction method for engine cylinder head milling is provided. The prediction method mainly includes the following steps:
(1)根据发动机缸盖生产条件确定表面粗糙度为铣削表面质量关键评价指标,利用表面粗糙度测量仪测得缸盖铣削表面粗糙度,并基于金属铣削表面形成机理识别铣削三要素铣削速度、每齿进给量、背吃刀量及过程状态变量数据铣削力、铣削热为关键影响因素;(1) According to the engine cylinder head production conditions, surface roughness is determined as the key evaluation index of milling surface quality. The surface roughness measuring instrument is used to measure the cylinder head milling surface roughness, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, The feed per tooth, the amount of back tool engagement, process state variable data, milling force, and milling heat are the key influencing factors;
(2)考虑到缸盖生产中利用传感器收集铣削力及铣削热数据成本高的特 点,构建基于半解析法的铣削力机理模型和基于热源法的铣削热机理模型,探究缸盖铣削机理,机理模型输出为根据当前工艺参数数值计算得出的瞬时铣削力及铣削热数据,将铣削过程所收集工艺参数、状态变量数据及测得表面粗糙度值构建数据集存储至历史数据库中;(2) Considering the high cost of using sensors to collect milling force and milling heat data in cylinder head production, a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism. The model output is the instantaneous milling force and milling heat data calculated based on the current process parameter values. The process parameters, state variable data and measured surface roughness values collected during the milling process are constructed to construct a data set and stored in the historical database;
(3)将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素作为数据驱动模型输入,测量得到缸盖铣削表面粗糙度值为模型输出,构建基于自适应差分进化算法优化SVR的缸盖铣削表面粗糙度预测模型,确定模型参数范围,并利用历史数据库中数据集训练预测模型;(3) The milling force and milling heat data output from the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model. The measured surface roughness value of the cylinder head milling is the model output, and a cylinder optimized SVR based on the adaptive differential evolution algorithm is constructed. Cover milling surface roughness prediction model, determine the model parameter range, and use the data set in the historical database to train the prediction model;
(4)利用实时铣削过程数据预测缸盖铣削表面粗糙度,分析模型输出表面粗糙度值与实际测量值间的误差是否符合要求,若不符合精度要求,则返回步骤(2),重新构建机理模型及数据驱动模型;符合精度要求,则进一步判断表面粗糙度值是否符合生产质量需求,并对预测结果不佳的情况及时调整工艺参数。(4) Use real-time milling process data to predict the cylinder head milling surface roughness, and analyze whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild the mechanism. Model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and the process parameters will be adjusted in a timely manner if the prediction results are not good.
进一步地,在基于半解析法的铣削力机理模型构建时,由于铣刀刀刃并非绝对锋利且具有一定宽度,故综合考虑剪切机制和犁切机制,由剪切力和犁切力构成铣削力。将N个刀片的切削刃沿轴线方向微分并离散为M个微元,则第j个切削刃上第k个切削微元的瞬时切削力计算方式为:Furthermore, when constructing the milling force mechanism model based on the semi-analytical method, since the milling cutter blade is not absolutely sharp and has a certain width, the shearing mechanism and the plowing mechanism are comprehensively considered, and the milling force is composed of the shearing force and the plowing force. . The cutting edges of N inserts are differentiated and discretized into M micro-elements along the axis direction. Then the instantaneous cutting force of the k-th cutting micro-element on the j-th cutting edge is calculated as:
Figure PCTCN2022131914-appb-000002
Figure PCTCN2022131914-appb-000002
式中,df tjk、df rjk、df ajk分别为第j个切削刃上第k个切削微元的切向、径向和轴向切削力,K ts、K rs、K as分别为切向、径向和轴向的剪切力系数,单位为N/mm 2,通常与铣削加工工艺参数有关;K te、K re、K ae分别为切向、径向和轴向的犁切力系数,单位是N/mm。dh为切削深度在轴线方向的投影,ds是切削刃微元弧长,f z为每齿进给量。g(θ jk)为单位跃迁函数,θ为铣刀刀刃切入角,当θ s<θ<θ e时,g(θ jk)=1,其他情况下g(θ jk)=0。 In the formula, df tjk , df rjk , and df ajk are respectively the tangential, radial, and axial cutting forces of the k-th cutting element on the j-th cutting edge, and K ts , K rs , and K as are the tangential, The radial and axial shear force coefficients, in N/mm 2 , are usually related to milling process parameters; K te , K re , and Kae are the tangential, radial, and axial plow shear force coefficients, respectively. The unit is N/mm. dh is the projection of the cutting depth in the axial direction, ds is the arc length of the cutting edge element, f z is the feed per tooth. g(θ jk ) is the unit transition function, θ is the cutting angle of the milling cutter blade, when θ s <θ <θ e , g(θ jk )=1, and in other cases g(θ jk )=0.
将刀片坐标系内的微元铣削力转换到刀具坐标系计算公式为:The calculation formula for converting the micro-element milling force in the insert coordinate system to the tool coordinate system is:
Figure PCTCN2022131914-appb-000003
Figure PCTCN2022131914-appb-000003
将刀具坐标系内的微元铣削力沿轴线方向积分,并对N个铣削刃上铣削力求和,得到作用在铣刀上三个方向的瞬时铣削力,计算公式为:Integrate the micro-element milling force in the tool coordinate system along the axis direction, and sum the milling forces on the N milling edges to obtain the instantaneous milling force acting on the milling cutter in three directions. The calculation formula is:
Figure PCTCN2022131914-appb-000004
Figure PCTCN2022131914-appb-000004
根据铣削合力计算公式,铣削合力
Figure PCTCN2022131914-appb-000005
将铣削刀具切削刃离散分割的铣削微元数量M越大,铣削力计算结果越精确。铣削力系数是铣削力模型中的重要参数,此处采用实验快速标定法求解铣削力系数。在铣削速度、背吃刀量固定时改变每齿进给量参数,测得单个刀齿一个周期内的三向平均铣削力,并利用线性回归分析实现铣削力系数辨识。
According to the milling resultant force calculation formula, the milling resultant force
Figure PCTCN2022131914-appb-000005
The larger the number M of milling elements that discretely divides the cutting edge of the milling tool, the more accurate the milling force calculation results will be. The milling force coefficient is an important parameter in the milling force model. Here, the experimental fast calibration method is used to solve the milling force coefficient. When the milling speed and back cutting amount are fixed, the feed parameters of each tooth are changed, the three-dimensional average milling force of a single tooth in one cycle is measured, and the milling force coefficient is identified using linear regression analysis.
进一步地,在基于热源法的铣削热机理模型构建时,将第一变形区内剪切面铣削力做功生成的切削热视为唯一热源,剪切面形状视为规则矩形,矩形面尺寸与刀具直径和铣削深度有关,将铣削热建模转化为移动有限大面热源的工件表面温度场求解问题。根据镜像法思想,在考察边界内用另一温度场表征边界效应,叠加两个面热源的温度场,解的唯一性表明该温度场与边值问题的解相等。将镜像热源应用到铣削过程中,则铣削工件表面任意点温度为真实和镜像两个等强面热源的迭加,表面温度场计算公式为:Furthermore, when constructing the milling thermal mechanism model based on the heat source method, the cutting heat generated by the work of the shear surface milling force in the first deformation zone is regarded as the only heat source, the shape of the shear surface is regarded as a regular rectangle, and the size of the rectangular surface is related to the tool The diameter is related to the milling depth, and the milling thermal modeling is transformed into a problem of solving the workpiece surface temperature field of a moving finite large-area heat source. According to the idea of the mirror method, another temperature field is used to represent the boundary effect within the investigation boundary, and the temperature fields of the two surface heat sources are superimposed. The uniqueness of the solution indicates that the temperature field is equal to the solution of the boundary value problem. When the mirror heat source is applied to the milling process, the temperature at any point on the surface of the milled workpiece is the superposition of two equal-strength surface heat sources, the real and the mirror. The calculation formula of the surface temperature field is:
Figure PCTCN2022131914-appb-000006
Figure PCTCN2022131914-appb-000006
进一步地,为提高支持向量回规模型精度,最小化模型训练误差的经验风险,通过下式对ω和b评估:Furthermore, in order to improve the accuracy of the support vector regression model and minimize the empirical risk of model training error, ω and b are evaluated by the following formula:
Figure PCTCN2022131914-appb-000007
Figure PCTCN2022131914-appb-000007
式中,C和L为惩罚系数和代价函数,即C值代表超出L值数据的惩罚程度大小。通常选取高斯径向基核函数为预测模型的核函数,可表示为:In the formula, C and L are the penalty coefficient and cost function, that is, the C value represents the degree of punishment for data exceeding the L value. The Gaussian radial basis kernel function is usually selected as the kernel function of the prediction model, which can be expressed as:
Figure PCTCN2022131914-appb-000008
Figure PCTCN2022131914-appb-000008
支持向量回归模型惩罚系数C影响着模型复杂程度和误差逼近程度,决定着模型学习能力。代价函数L的参数ε控制着回归函数拟合条带的宽度。高斯径向基核函数的核宽σ决定着径向作用范围。因此,将支持向量回归模型内部的三个参数(C、ε、σ)值作为优化目标。The support vector regression model penalty coefficient C affects the model complexity and error approximation, and determines the model learning ability. The parameter ε of the cost function L controls the width of the fitted strip of the regression function. The kernel width σ of the Gaussian radial basis kernel function determines the radial action range. Therefore, the three parameter (C, ε, σ) values inside the support vector regression model are used as optimization targets.
进一步地,为减小模型参数搜索范围,缩短参数寻优时间,在确定参数C范围时,首先基于目标值表达式估计参数C的值,其次将C的估计值与目标变量平均值的50%作为标准差-均值正态分布,最后在估计值两侧确定参数C的范围。Furthermore, in order to reduce the model parameter search range and shorten the parameter optimization time, when determining the parameter C range, first estimate the value of parameter C based on the target value expression, and then compare the estimated value of C with 50% of the average value of the target variable. As a standard deviation-mean normal distribution, the range of parameter C is finally determined on both sides of the estimated value.
C=max(|y bar+3σ t|,|y bar-3σ t|)    (7) C=max(|y bar +3σ t |,|y bar -3σ t |) (7)
式中,y bar、σ t分别为目标变量的标准差和均值。 In the formula, y bar and σ t are the standard deviation and mean of the target variable respectively.
其余两个参数ε和σ的范围按照下式计算:The ranges of the remaining two parameters ε and σ are calculated according to the following formula:
Figure PCTCN2022131914-appb-000009
Figure PCTCN2022131914-appb-000009
式中,Z为影响表面粗糙度的参数个数。In the formula, Z is the number of parameters that affect surface roughness.
进一步地,为提高差分进化算法性能,算法中的缩放因子F值可表示为:Furthermore, in order to improve the performance of the differential evolution algorithm, the scaling factor F value in the algorithm can be expressed as:
Figure PCTCN2022131914-appb-000010
Figure PCTCN2022131914-appb-000010
式中,t为种群当前迭代次数,T为种群设置总迭代次数。In the formula, t is the current number of iterations of the population, and T is the total number of iterations set by the population.
算法中的交叉概率CR参数值可表示为:The crossover probability CR parameter value in the algorithm can be expressed as:
Figure PCTCN2022131914-appb-000011
Figure PCTCN2022131914-appb-000011
式中,CR max为最大交叉概率,CR min为最小交叉概率,交叉概率CR在CR max和CR min范围内变化。 In the formula, CR max is the maximum crossover probability, CR min is the minimum crossover probability, and the crossover probability CR changes within the range of CR max and CR min .
总体而言,通过对比本发明以上技术方案与现有技术可知,本发明所提供的一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法主要具有以下有益效果:Generally speaking, by comparing the above technical solutions of the present invention with the existing technology, it can be seen that the mechanism-based and data-driven surface quality prediction method for engine cylinder head milling provided by the present invention mainly has the following beneficial effects:
1.结合机理模型与数据驱动模型优势,缸盖铣削表面质量预测模型精度更高,可解释性更强,对缸盖实际生产具有指导意义。1. Combining the advantages of the mechanism model and the data-driven model, the cylinder head milling surface quality prediction model is more accurate and more interpretable, which has guiding significance for the actual production of cylinder heads.
2.构建铣削机理模型解决了铣削过程状态变量数据获取难度大、成本高的问题,使得铣削力、铣削热数据计算更为方便快捷。2. Constructing a milling mechanism model solves the difficulty and high cost of obtaining state variable data in the milling process, making the calculation of milling force and milling heat data more convenient and faster.
3.将机理模型计算输出的状态变量数据结合铣削工艺参数输入到支持向量回归模型中进行训练,相较于单一输入变量类型的状态数据,多类型状态数据输入融合表征能力更强,可使预测结果更为准确。3. Input the state variable data calculated and output by the mechanism model combined with the milling process parameters into the support vector regression model for training. Compared with the state data of a single input variable type, the fusion representation ability of multi-type state data input is stronger and can make predictions The results are more accurate.
4.在支持向量回归模型参数寻优方面,初步确定了参数优化范围,缩短了搜索时间,并利用自适应差分进化算法对模型参数寻优,在算法运行前期,可保证种群内个体多样化并提升全局搜索能力,在算法运行后期,可加快算法收敛速度。4. In terms of optimizing the parameters of the support vector regression model, the parameter optimization range has been initially determined, the search time has been shortened, and the adaptive differential evolution algorithm has been used to optimize the model parameters. In the early stage of algorithm operation, it can ensure the diversity of individuals in the population and the Improved global search capabilities can speed up algorithm convergence in the later stages of algorithm operation.
附图说明Description of the drawings
图1为本发明实施例提供的基于机理与数据驱动的发动机缸盖铣削表面质量预测方法的流程示意图。Figure 1 is a schematic flowchart of a mechanism- and data-driven surface quality prediction method for engine cylinder head milling provided by an embodiment of the present invention.
图2为可转位铣刀面铣削模型图。Figure 2 shows the indexable milling cutter face milling model diagram.
图3为实验标定法求解铣削力系数线性回归图。Figure 3 is a linear regression diagram of the milling force coefficient solved by the experimental calibration method.
图4为移动有限大面热源温度场示意图。Figure 4 is a schematic diagram of the temperature field of a moving finite large-area heat source.
图5为铣削实验加平台。Figure 5 shows the milling experiment plus platform.
图6为铣削实验力、热数据获取示意图。Figure 6 is a schematic diagram of the acquisition of force and thermal data in milling experiments.
图7(1)和7(2)分别为铣削力及铣削热测量数据图。Figures 7(1) and 7(2) are the milling force and milling heat measurement data graphs respectively.
图8为表面粗糙度预测模型结构。Figure 8 shows the structure of the surface roughness prediction model.
图9为支持向量回归图。Figure 9 is a support vector regression diagram.
图10为表面粗糙度预测模型流程。Figure 10 shows the surface roughness prediction model process.
图11为表面粗糙度预测模型输出值与实际值对比图。Figure 11 is a comparison chart between the output value of the surface roughness prediction model and the actual value.
图12为表面粗糙度预测模型输出值与实际值间残差图。Figure 12 is a residual diagram between the output value of the surface roughness prediction model and the actual value.
具体实施方式Detailed ways
下面结合附图及实施案例,对本发明进行进一步详细说明,但应当理解实施例用以解释本发明,并不用于限制本发明。The present invention will be further described in detail below with reference to the accompanying drawings and implementation examples. However, it should be understood that the examples are used to explain the present invention and are not intended to limit the present invention.
如图所示,图1为本发明实施例提供的基于机理与数据驱动的发动机缸盖铣削表面质量预测方法的流程示意图。图2为可转位铣刀面铣削模型图。图3为实验标定法求解铣削力系数线性回归图。图4为移动有限大面热源温度场示意图。图5为铣削实验加平台。图6为铣削实验力、热数据获取示意图。图7(1)和7(2)分别为铣削力及铣削热测量数据图。图8为表面粗糙度预测模型结构。图9为支持向量回归图。图10为表面粗糙度预测模型流程。图11为表面粗糙度预测模型输出值与实际值对比图。图12为表面粗糙度预测模型输出值与实际值间残差图。As shown in the figure, Figure 1 is a schematic flow chart of a mechanism- and data-driven surface quality prediction method for engine cylinder head milling provided by an embodiment of the present invention. Figure 2 shows the indexable milling cutter face milling model diagram. Figure 3 is a linear regression diagram of the milling force coefficient solved by the experimental calibration method. Figure 4 is a schematic diagram of the temperature field of a moving finite large-area heat source. Figure 5 shows the milling experiment plus platform. Figure 6 is a schematic diagram of the acquisition of force and thermal data in milling experiments. Figures 7(1) and 7(2) are the milling force and milling heat measurement data graphs respectively. Figure 8 shows the structure of the surface roughness prediction model. Figure 9 is a support vector regression diagram. Figure 10 shows the surface roughness prediction model process. Figure 11 is a comparison chart between the output value of the surface roughness prediction model and the actual value. Figure 12 is a residual diagram between the output value of the surface roughness prediction model and the actual value.
本发明提供一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,包括以下步骤:The present invention provides a mechanism- and data-driven surface quality prediction method for engine cylinder head milling, which includes the following steps:
(1)根据缸盖生产条件确定表面粗糙度为铣削表面质量关键评价指标,利用表面粗糙度仪测得缸盖铣削表面粗糙度,并基于金属铣削表面形成机理识别铣削三要素铣削速度、每齿进给量、背吃刀量及过程状态变量铣削力、铣削热为关键影响因素;(1) According to the production conditions of the cylinder head, surface roughness is determined as the key evaluation index of milling surface quality. The surface roughness of the cylinder head milling is measured using a surface roughness meter, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, each tooth Feed rate, back cutting amount and process state variables milling force and milling heat are the key influencing factors;
(2)考虑到缸盖生产中利用传感器收集铣削力及铣削热数据成本高的特点,构建基于半解析法的铣削力机理模型和基于热源法的铣削热机理模型,探究缸盖铣削机理,机理模型输出为根据当前工艺参数下的瞬时铣削力及铣削热数据,并将铣削过程所收集工艺参数、机理模型输出过程状态变量数据 及测得表面粗糙度值构建数据集存储至历史数据库中;(2) Considering the high cost of using sensors to collect milling force and milling heat data in cylinder head production, a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism. The model output is instantaneous milling force and milling heat data based on the current process parameters, and a data set is constructed and stored in the historical database based on the process parameters collected during the milling process, the process state variable data output by the mechanism model, and the measured surface roughness values;
(3)将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素作为数据驱动模型输入,测量得到缸盖铣削表面粗糙度值为模型输出,构建基于自适应差分进化算法优化SVR的铣削表面粗糙度预测模型,并初步确定预测模型参数范围;(3) The milling force and milling heat data output by the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model. The measured surface roughness value of the cylinder head milling is the model output, and a milling optimization SVR based on the adaptive differential evolution algorithm is constructed. Surface roughness prediction model, and initially determine the prediction model parameter range;
(4)利用铣削过程获取实时数据预测缸盖铣削表面粗糙度值,比较模型输出表面粗糙度值与实际测量值间误差是否符合要求,若不符合精度要求,则返回步骤(2),重新构建机理模型及数据驱动模型;若符合精度要求,则进一步判断表面粗糙度值是否符合生产质量需求,并对预测结果不佳的工艺参数组合及时调整,同时,将实时状态数据集导入至历史数据库中,用作预测模型训练。(4) Use the milling process to obtain real-time data to predict the cylinder head milling surface roughness value, and compare whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild Mechanism model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and process parameter combinations with poor prediction results will be adjusted in a timely manner. At the same time, the real-time status data set will be imported into the historical database , used for prediction model training.
在上述基于机理与数据驱动的发动机缸盖铣削表面质量预测方法中,步骤(1)中确定表面粗糙度为缸盖铣削表面质量评价指标,原因是缸盖表面粗糙度测量成本低、状态表征能力强,且属于可量化性指标,同时,基于金属表面形成机理识别铣削三要素及铣削力、铣削热数据为铣削表面质量关键影响因素。步骤(2)包括如下子步骤:In the above-mentioned mechanism- and data-driven engine cylinder head milling surface quality prediction method, the surface roughness is determined as the cylinder head milling surface quality evaluation index in step (1). The reason is that the cylinder head surface roughness measurement cost is low and the state characterization ability is Strong and quantifiable indicators. At the same time, based on the metal surface formation mechanism, the three elements of milling and milling force and milling heat data are identified as the key influencing factors of milling surface quality. Step (2) includes the following sub-steps:
(21)综合考虑铣削的剪切机制和犁切机制,将N个刀片的切削刃沿轴线方向微分并离散为M个微元,求得刀片坐标系上第j个切削刃上第k个切削微元的瞬时切削力表达式;(21) Comprehensively consider the shearing mechanism and plowing mechanism of milling, differentiate and discretize the cutting edges of N blades into M micro-elements along the axial direction, and obtain the k-th cutting edge on the j-th cutting edge in the blade coordinate system. The instantaneous cutting force expression of micro-element;
(22)将铣刀刀片坐标系内的微元铣削力转换到刀具坐标系内,并沿轴线方向积分,对N个铣削刃上铣削力求和,得到作用在铣刀上三个方向的瞬时铣削力;(22) Convert the micro-element milling force in the milling cutter blade coordinate system to the tool coordinate system, integrate it along the axis direction, and sum the milling forces on the N milling edges to obtain the instantaneous milling force acting on the milling cutter in three directions. force;
(23)基于快速标定法辨识铣削力系数,通过若干次铣削实验测得三向铣削力的平均值反求铣削力系数;(23) Based on the rapid calibration method, the milling force coefficient is identified, and the average value of the three-dimensional milling force measured through several milling experiments is used to calculate the milling force coefficient;
(24)在已知铣削加工中的每齿进给量、背吃刀量等参数情况下,可快速计算工件表面所受三向瞬时铣削力及铣削合力;(24) When parameters such as the feed per tooth and the amount of back tool engagement in milling are known, the three-dimensional instantaneous milling force and the resultant milling force on the workpiece surface can be quickly calculated;
(25)通过导热微分方程求解瞬时点热源所产生温度场,并计算将线热 源微分离散为无数个微元点时产生的温度场;(25) Solve the temperature field generated by the instantaneous point heat source through the thermal conduction differential equation, and calculate the temperature field generated when the line heat source is differentially dispersed into countless micro-element points;
(26)推导移动有限大面热源所产生温度场,并迭加各个面热源温度场,采用镜像法获得温度场边界条件解,求得铣削表面温度场任意点的瞬时温度。步骤(3)包括如下子步骤:(26) The temperature field generated by the moving finite-large surface heat source is derived, and the temperature fields of each surface heat source are superimposed. The mirror method is used to obtain the temperature field boundary condition solution, and the instantaneous temperature at any point of the milling surface temperature field is obtained. Step (3) includes the following sub-steps:
(31)将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素数据采用最大最小法归一化处理,处理后的变量数据分布在[0,1]范围内;(31) The milling force and milling heat data output from the mechanism model are combined with the current corresponding milling three-element data and normalized using the max-min method. The processed variable data is distributed in the range of [0,1];
(32)选取SVR用作回归预测,并初步确定支持向量回归机内部三个参数范围,缩小搜索空间;(32) Select SVR for regression prediction, and initially determine the three parameter ranges within the support vector regression machine to narrow the search space;
(33)DE算法内部参数缩放因子F和交叉概率CR分别按照下式自适应变化,并利用自适应差分进化算法对支持向量回归模型寻优;(33) The internal parameter scaling factor F and crossover probability CR of the DE algorithm are adaptively changed according to the following formula, and the adaptive differential evolution algorithm is used to optimize the support vector regression model;
Figure PCTCN2022131914-appb-000012
Figure PCTCN2022131914-appb-000012
式中,函数定义域为(-∞,+∞),值域为(-1,1),式中,CR max为最大交叉概率,CR min为最小交叉概率,交叉概率CR在CR max和CR min范围内变化, In the formula, the function domain is (-∞, +∞), and the value range is (-1,1). In the formula, CR max is the maximum crossover probability, CR min is the minimum crossover probability, and the crossover probability CR is between CR max and CR changes within the min range,
(34)将训练数据寻优得到的SVR模型内部参数确定为最佳参数组合,通过输入实时工艺参数及状态变量数据预测缸盖铣削表面粗糙度值。(34) The internal parameters of the SVR model obtained by optimizing the training data are determined as the best parameter combination, and the cylinder head milling surface roughness value is predicted by inputting real-time process parameters and state variable data.
在上述基于机理与数据驱动的发动机缸盖铣削表面质量预测方法中,利用缸盖生产实际样本数据验证预测模型输出精度,并通过分析算法运算时间及实际值与预测值间的残差以评估预测模型的性能,若预测模型精度未达到误差要求,则返回步骤(2)、(3),重新计算铣削机理模型,并训练数据驱动模型,寻找最佳模型参数组合。In the above-mentioned mechanism- and data-driven surface quality prediction method for engine cylinder head milling, the actual sample data of cylinder head production is used to verify the output accuracy of the prediction model, and the prediction is evaluated by analyzing the algorithm operation time and the residual difference between the actual value and the predicted value. Performance of the model. If the accuracy of the prediction model does not meet the error requirements, return to steps (2) and (3) to recalculate the milling mechanism model and train the data-driven model to find the best combination of model parameters.
按照本发明的一个方面,本发明提供了一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,所提供的监测方法按如下步骤完成:首先,根据发动机缸盖生产条件确定表面粗糙度为铣削表面质量关键评价指标,测得缸盖铣削表面粗糙度,并基于金属铣削表面形成机理识别铣削三要素铣削速度、每齿进给量、背吃刀量及过程状态变量数据铣削力、铣削热为关键影 响因素;其次,考虑到缸盖生产中利用传感器收集铣削力及铣削热数据成本高的特点,构建基于半解析法的铣削力机理模型和基于热源法的铣削热机理模型,探究缸盖铣削机理,机理模型输出为根据当前工艺参数数值计算得出的瞬时铣削力及铣削热数据,将铣削过程所收集工艺参数、状态变量数据及测得表面粗糙度值构建数据集存储至历史数据库中;再次,将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素作为数据驱动模型输入,缸盖铣削表面粗糙度值为模型输出,构建基于自适应差分进化算法优化SVR的缸盖铣削表面粗糙度预测模型,初步确定模型参数范围,并利用历史数据库中数据集训练预测模型;最后,利用实时铣削过程数据预测缸盖铣削表面粗糙度,比较模型输出表面粗糙度值与实际测量值间的误差是否符合要求,若不符合精度要求,则重新构建机理模型及数据驱动模型;若符合精度要求,则进一步判断表面粗糙度值是否符合生产质量需求,并对预测结果不佳的情况及时进行工艺参数调整。According to one aspect of the present invention, the present invention provides a mechanism- and data-driven surface quality prediction method for engine cylinder head milling. The provided monitoring method is completed in the following steps: First, determine the surface roughness according to the production conditions of the engine cylinder head. As a key evaluation index of milling surface quality, the cylinder head milling surface roughness is measured, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, feed per tooth, back cutting amount and process state variable data milling force, milling Heat is the key influencing factor; secondly, considering the high cost of using sensors to collect milling force and milling heat data in cylinder head production, a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder Cover milling mechanism, the output of the mechanism model is instantaneous milling force and milling heat data calculated based on the current process parameter values, and a data set of process parameters, state variable data and measured surface roughness values collected during the milling process is stored in the historical database. Middle; Thirdly, the milling force and milling heat data output from the mechanism model are combined with the current three corresponding milling elements as the data-driven model input, and the cylinder head milling surface roughness value is the model output to construct a cylinder head optimized SVR based on the adaptive differential evolution algorithm. Milling surface roughness prediction model, initially determine the model parameter range, and use the data set in the historical database to train the prediction model; finally, use real-time milling process data to predict the cylinder head milling surface roughness, and compare the model output surface roughness value with the actual measured value Whether the error between them meets the requirements. If it does not meet the accuracy requirements, the mechanism model and the data-driven model will be rebuilt. If it meets the accuracy requirements, it will be further judged whether the surface roughness value meets the production quality requirements, and the poor prediction results will be reported in a timely manner. Adjust process parameters.
具体而言,本发明的一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法主要包括以下步骤:Specifically, the present invention's mechanism- and data-driven surface quality prediction method for engine cylinder head milling mainly includes the following steps:
(1)根据发动机缸盖生产条件确定表面粗糙度为铣削表面质量关键评价指标,利用表面粗糙度测量仪测得缸盖铣削表面粗糙度,并基于金属铣削表面形成机理识别铣削三要素铣削速度、每齿进给量、背吃刀量及过程状态变量数据铣削力、铣削热为关键影响因素;(1) According to the engine cylinder head production conditions, surface roughness is determined as the key evaluation index of milling surface quality. The surface roughness measuring instrument is used to measure the cylinder head milling surface roughness, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, The feed per tooth, the amount of back tool engagement, process state variable data, milling force, and milling heat are the key influencing factors;
(2)考虑到缸盖生产中利用传感器收集铣削力及铣削热数据成本高的特点,构建基于半解析法的铣削力机理模型和基于热源法的铣削热机理模型,探究缸盖铣削机理,机理模型输出为根据当前工艺参数数值计算得出的瞬时铣削力及铣削热数据,将铣削过程所收集工艺参数、状态变量数据及测得表面粗糙度值构建数据集存储至历史数据库中;(2) Considering the high cost of using sensors to collect milling force and milling heat data in cylinder head production, a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism. The model output is the instantaneous milling force and milling heat data calculated based on the current process parameter values. The process parameters, state variable data and measured surface roughness values collected during the milling process are constructed to construct a data set and stored in the historical database;
(3)将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素作为数据驱动模型输入,测量得到缸盖铣削表面粗糙度值为模型输出,构建基于自适应差分进化算法优化SVR的缸盖铣削表面粗糙度预测模型,确定模型 参数范围,并利用历史数据库中数据集训练预测模型;(3) The milling force and milling heat data output from the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model. The measured surface roughness value of the cylinder head milling is the model output, and a cylinder optimized SVR based on the adaptive differential evolution algorithm is constructed. Cover milling surface roughness prediction model, determine the model parameter range, and use the data set in the historical database to train the prediction model;
(4)利用实时铣削过程数据预测缸盖铣削表面粗糙度,分析模型输出表面粗糙度值与实际测量值间的误差是否符合要求,若不符合精度要求,则返回步骤(2),重新构建机理模型及数据驱动模型;符合精度要求,则进一步判断表面粗糙度值是否符合生产质量需求,并对预测结果不佳的情况及时调整工艺参数。(4) Use real-time milling process data to predict the cylinder head milling surface roughness, and analyze whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild the mechanism. Model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and the process parameters will be adjusted in a timely manner if the prediction results are not good.
进一步地,在基于半解析法的铣削力机理模型构建时,由于铣刀刀刃并非绝对锋利且具有一定宽度,故综合考虑剪切机制和犁切机制,由剪切力和犁切力构成铣削力。将N个刀片的切削刃沿轴线方向微分并离散为M个微元,则第j个切削刃上第k个切削微元的瞬时切削力计算方式为:Furthermore, when constructing the milling force mechanism model based on the semi-analytical method, since the milling cutter blade is not absolutely sharp and has a certain width, the shearing mechanism and the plowing mechanism are comprehensively considered, and the milling force is composed of the shearing force and the plowing force. . The cutting edges of N inserts are differentiated and discretized into M micro-elements along the axis direction. Then the instantaneous cutting force of the k-th cutting micro-element on the j-th cutting edge is calculated as:
Figure PCTCN2022131914-appb-000013
Figure PCTCN2022131914-appb-000013
式中,df tjk、df rjk、df ajk分别为第j个切削刃上第k个切削微元的切向、径向和轴向切削力,K ts、K rs、K as分别为切向、径向和轴向的剪切力系数,单位为N/mm 2,通常与铣削加工工艺参数有关;K te、K re、K ae分别为切向、径向和轴向的犁切力系数,单位是N/mm。dh为切削深度在轴线方向的投影,ds是切削刃微元弧长,f z为每齿进给量。g(θ jk)为单位跃迁函数,θ为铣刀刀刃切入角,当θ s<θ<θ e时,g(θ jk)=1,其他情况下g(θ jk)=0。 In the formula, df tjk , df rjk , and df ajk are respectively the tangential, radial, and axial cutting forces of the k-th cutting element on the j-th cutting edge, and K ts , K rs , and K as are the tangential, The radial and axial shear force coefficients, in N/mm 2 , are usually related to milling process parameters; K te , K re , and Kae are the tangential, radial, and axial plow shear force coefficients, respectively. The unit is N/mm. dh is the projection of the cutting depth in the axial direction, ds is the arc length of the cutting edge element, f z is the feed per tooth. g(θ jk ) is the unit transition function, θ is the cutting angle of the milling cutter blade, when θ s <θ <θ e , g(θ jk )=1, and in other cases g(θ jk )=0.
将刀片坐标系内的微元铣削力转换到刀具坐标系计算公式为:The calculation formula for converting the micro-element milling force in the insert coordinate system to the tool coordinate system is:
Figure PCTCN2022131914-appb-000014
Figure PCTCN2022131914-appb-000014
将刀具坐标系内的微元铣削力沿轴线方向积分,并对N个铣削刃上铣削力求和,得到作用在铣刀上三个方向的瞬时铣削力,计算公式为:Integrate the micro-element milling force in the tool coordinate system along the axis direction, and sum the milling forces on the N milling edges to obtain the instantaneous milling force acting on the milling cutter in three directions. The calculation formula is:
Figure PCTCN2022131914-appb-000015
Figure PCTCN2022131914-appb-000015
根据铣削合力计算公式,铣削合力
Figure PCTCN2022131914-appb-000016
将铣削刀具切削刃离散分割的铣削微元数量M越大,铣削力计算结果越精确。铣削力系数是铣削力模型中的重要参数,此处采用实验快速标定法求解铣削力系数。在铣削速度、背吃刀量固定时改变每齿进给量参数,测得单个刀齿一个周期内的三向平均铣削力,并利用线性回归分析实现铣削力系数辨识。
According to the milling resultant force calculation formula, the milling resultant force
Figure PCTCN2022131914-appb-000016
The larger the number M of milling elements that discretely divides the cutting edge of the milling tool, the more accurate the milling force calculation results will be. The milling force coefficient is an important parameter in the milling force model. Here, the experimental fast calibration method is used to solve the milling force coefficient. When the milling speed and back cutting amount are fixed, the feed parameters of each tooth are changed, the three-dimensional average milling force of a single tooth in one cycle is measured, and the milling force coefficient is identified using linear regression analysis.
进一步地,在基于热源法的铣削热机理模型构建时,将第一变形区内剪切面铣削力做功生成的切削热视为唯一热源,剪切面形状视为规则矩形,矩形面尺寸与刀具直径和铣削深度有关,将铣削热建模转化为移动有限大面热源的工件表面温度场求解问题。根据镜像法思想,在考察边界内用另一温度场表征边界效应,叠加两个面热源的温度场,解的唯一性表明该温度场与边值问题的解相等。将镜像热源应用到铣削过程中,则铣削工件表面任意点温度为真实和镜像两个等强面热源的迭加,表面温度场计算公式为:Furthermore, when constructing the milling thermal mechanism model based on the heat source method, the cutting heat generated by the work of the shear surface milling force in the first deformation zone is regarded as the only heat source, the shape of the shear surface is regarded as a regular rectangle, and the size of the rectangular surface is related to the tool The diameter is related to the milling depth, and the milling thermal modeling is transformed into a problem of solving the workpiece surface temperature field of a moving finite large-area heat source. According to the idea of the mirror method, another temperature field is used to represent the boundary effect within the investigation boundary, and the temperature fields of the two surface heat sources are superimposed. The uniqueness of the solution indicates that the temperature field is equal to the solution of the boundary value problem. When the mirror heat source is applied to the milling process, the temperature at any point on the surface of the milled workpiece is the superposition of two equal-strength surface heat sources, the real and the mirror. The calculation formula of the surface temperature field is:
Figure PCTCN2022131914-appb-000017
Figure PCTCN2022131914-appb-000017
进一步地,为提高支持向量回规模型精度,最小化模型训练误差的经验风险,通过下式对ω和b评估:Furthermore, in order to improve the accuracy of the support vector regression model and minimize the empirical risk of model training error, ω and b are evaluated by the following formula:
Figure PCTCN2022131914-appb-000018
Figure PCTCN2022131914-appb-000018
式中,C和L为惩罚系数和代价函数,即C值代表超出L值数据的惩罚程度大小。通常选取高斯径向基核函数为预测模型的核函数,可表示为:In the formula, C and L are the penalty coefficient and cost function, that is, the C value represents the degree of punishment for data exceeding the L value. The Gaussian radial basis kernel function is usually selected as the kernel function of the prediction model, which can be expressed as:
Figure PCTCN2022131914-appb-000019
Figure PCTCN2022131914-appb-000019
支持向量回归模型惩罚系数C影响着模型复杂程度和误差逼近程度,决定着模型学习能力。代价函数L的参数ε控制着回归函数拟合条带的宽度。高斯径向基核函数的核宽σ决定着径向作用范围。因此,将支持向量回归模型内部的三个参数(C、ε、σ)值作为优化目标。The support vector regression model penalty coefficient C affects the model complexity and error approximation, and determines the model learning ability. The parameter ε of the cost function L controls the width of the fitted strip of the regression function. The kernel width σ of the Gaussian radial basis kernel function determines the radial action range. Therefore, the three parameter (C, ε, σ) values inside the support vector regression model are used as optimization targets.
进一步地,为减小模型参数搜索范围,缩短参数寻优时间,在确定参数C范围时,首先基于目标值表达式估计参数C的值,其次将C的估计值与目标变量平均值的50%作为标准差-均值正态分布,最后在估计值两侧确定参数C的范围。Furthermore, in order to reduce the model parameter search range and shorten the parameter optimization time, when determining the parameter C range, first estimate the value of parameter C based on the target value expression, and then compare the estimated value of C with 50% of the average value of the target variable. As a standard deviation-mean normal distribution, the range of parameter C is finally determined on both sides of the estimated value.
C=max(|y bar+3σ t|,|y bar-3σ t|)      (7) C=max(|y bar +3σ t |,|y bar -3σ t |) (7)
式中,y bar、σ t分别为目标变量的标准差和均值。 In the formula, y bar and σ t are the standard deviation and mean of the target variable respectively.
其余两个参数ε和σ的范围按照下式计算:The ranges of the remaining two parameters ε and σ are calculated according to the following formula:
Figure PCTCN2022131914-appb-000020
Figure PCTCN2022131914-appb-000020
式中,Z为影响表面粗糙度的参数个数。In the formula, Z is the number of parameters that affect surface roughness.
进一步地,为提高差分进化算法性能,算法中的缩放因子F值可表示为:Furthermore, in order to improve the performance of the differential evolution algorithm, the scaling factor F value in the algorithm can be expressed as:
Figure PCTCN2022131914-appb-000021
Figure PCTCN2022131914-appb-000021
式中,t为种群当前迭代次数,T为种群设置总迭代次数。In the formula, t is the current number of iterations of the population, and T is the total number of iterations set by the population.
算法中的交叉概率CR参数值可表示为:The crossover probability CR parameter value in the algorithm can be expressed as:
Figure PCTCN2022131914-appb-000022
Figure PCTCN2022131914-appb-000022
式中,CR max为最大交叉概率,CR min为最小交叉概率,交叉概率CR在CR max和CR min范围内变化。 In the formula, CR max is the maximum crossover probability, CR min is the minimum crossover probability, and the crossover probability CR changes within the range of CR max and CR min .
为了验证本发明所提方法,以发动机缸盖底面铣削为例,确定表面粗糙度为铣削表面质量关键评价指标,识别铣削三要素铣削速度、每齿进给量、背吃刀量及过程状态变量数据铣削力、铣削热为缸盖底面铣削质量关键影响 因素。In order to verify the method proposed in this invention, taking the milling of the bottom surface of the engine cylinder head as an example, the surface roughness is determined as the key evaluation index of milling surface quality, and the three elements of milling are identified: milling speed, feed per tooth, back cutting amount and process state variables. Data milling force and milling heat are the key factors affecting the quality of cylinder head bottom surface milling.
利用表面粗糙度仪测得工艺参数所对应的缸盖铣削表面粗糙度值,通过所构建铣削力及铣削热机理模型计算得到实时的铣削力及铣削热数据。将采集及机理模型输出所得100组铣削过程状态变量数据、铣削三要素参数值及表面粗糙度测量值存储至历史数据库。为保证数据在预测模型中的可用性,在获取数据后对数据进行预处理,预处理结果如表1所示。The surface roughness value of the cylinder head milling corresponding to the process parameters was measured using a surface roughness meter, and the real-time milling force and milling heat data were calculated through the constructed milling force and milling thermal mechanism model. Store 100 sets of milling process state variable data, milling three element parameter values and surface roughness measurement values obtained from the collection and mechanism model output to the historical database. In order to ensure the availability of data in the prediction model, the data is preprocessed after obtaining the data. The preprocessing results are shown in Table 1.
表1预处理后预测模型样本数据示例Table 1 Example of sample data of prediction model after preprocessing
Figure PCTCN2022131914-appb-000023
Figure PCTCN2022131914-appb-000023
将预处理后的数据集训练表面粗糙度预测模型,得到最佳模型内部参数组合。本发明所采用的基于机理与数据驱动的发动机缸盖铣削表面质量预测方法中,将自适应差分进化算法优化的SVR用于预测缸盖底面铣削的表面粗糙度值,模型训练及验证平台为MATLAB 2021a,计算机参数为i5-6200U处理器,内存为2.30GHz。The preprocessed data set is used to train the surface roughness prediction model to obtain the best internal parameter combination of the model. In the mechanism- and data-driven surface quality prediction method for engine cylinder head milling adopted in this invention, the SVR optimized by the adaptive differential evolution algorithm is used to predict the surface roughness value of the cylinder head bottom surface milling. The model training and verification platform is MATLAB. In 2021a, the computer parameters are i5-6200U processor and the memory is 2.30GHz.
对于缸盖表面铣削加工,影响表面粗糙度因素数量Z=5,即铣削速度v c、每齿进给量f z、背吃刀量a p及铣削力、铣削热数据。根据式(7)及式(8)可知,在初步确定SVR内部参数C,ε,σ值时,计算可得C的估计值为4.9561,SVR内部参数初步范围确定如表2所示。 For the surface milling of the cylinder head, the number of factors affecting surface roughness Z = 5, that is, the milling speed v c , the feed per tooth f z , the amount of back cutting a p and the milling force and milling heat data. According to equations (7) and (8), when initially determining the values of SVR internal parameters C, ε, and σ, the calculated estimated value of C is 4.9561. The preliminary range of SVR internal parameters is determined as shown in Table 2.
表2 SVR参数范围Table 2 SVR parameter range
Figure PCTCN2022131914-appb-000024
Figure PCTCN2022131914-appb-000024
在自适应差分进化算法内部参数缩放因子F值确定方面,利用式(9)将非线性F值范围固定在0.4-1内,保留了变化曲线过渡平滑的优势,使得缩放因子F在算法迭代前期取较大值以维持种群个体多样化,在后期局部寻优过程取较小值以加快算法收敛。In terms of determining the internal parameter scaling factor F value of the adaptive differential evolution algorithm, equation (9) is used to fix the nonlinear F value range within 0.4-1, retaining the advantage of smooth transition of the change curve, so that the scaling factor F can be used in the early stage of the algorithm iteration. Take a larger value to maintain the diversity of individuals in the population, and take a smaller value in the later local optimization process to speed up the convergence of the algorithm.
在自适应差分进化算法内部参数交叉概率CR值确定方面,根据式(10)初始设置最小交叉概率CR min=0.3,最大交叉概率CR max=0.9,保证交叉概率CR在0.3~0.9范围内。在迭代前期,CR取较小值以提高全局搜索能力,随着迭代次数t增加,CR值非线性增大,加快收敛速度,有助于确定最优个体。 In terms of determining the cross probability CR value of the internal parameter of the adaptive differential evolution algorithm, according to Equation (10), the minimum crossover probability CR min =0.3 and the maximum crossover probability CR max =0.9 are initially set to ensure that the crossover probability CR is within the range of 0.3 to 0.9. In the early stage of iteration, CR takes a smaller value to improve the global search capability. As the number of iterations t increases, the CR value increases nonlinearly, speeding up the convergence speed and helping to determine the optimal individual.
在利用基于自适应差分进化算法优化的SVR预测表面粗糙度值时,算法种群规模NP设置为50,迭代次数M设置为200次。对100组历史数据集进行训练后,利用自适应差分进化算法通过全局搜索寻优得到SVR的最佳内部参数组合为C=8.6375,ε=0.0682,σ=0.7351。When using SVR optimized based on the adaptive differential evolution algorithm to predict the surface roughness value, the algorithm population size NP is set to 50 and the number of iterations M is set to 200. After training 100 sets of historical data sets, the optimal internal parameter combination of SVR was obtained through global search optimization using the adaptive differential evolution algorithm as C=8.6375, ε=0.0682, and σ=0.7351.
将训练后的铣削表面粗糙度预测模型输入实时工艺参数及机理模型输出数据,输出结果表明,预测模型在实时数据上取得了较好的预测效果。预测模型输出结果与实际铣削表面粗糙度值间误差见图11、图12所示。The trained milling surface roughness prediction model was input into real-time process parameters and mechanism model output data. The output results showed that the prediction model achieved good prediction results on real-time data. The error between the output results of the prediction model and the actual milling surface roughness value is shown in Figures 11 and 12.
最后应当说明的是,以上实施例仅用以说明本发明的技术方案,而非对本发明保护范围的限制,尽管参照较佳实施例对本发明作了详细地说明,本领域的普通技术人员应当分析,可以对本发明的技术方案进行修改或者等同替换,而不脱离本发明技术方案的实质和范围。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit the protection scope of the present invention. Although the present invention has been described in detail with reference to the preferred embodiments, those of ordinary skill in the art should analyze , the technical solution of the present invention may be modified or equivalently substituted without departing from the essence and scope of the technical solution of the present invention.

Claims (5)

  1. 一种基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,其特征在于,包括以下步骤:A mechanism- and data-driven surface quality prediction method for engine cylinder head milling, which is characterized by including the following steps:
    (1)根据缸盖生产条件确定表面粗糙度为铣削表面质量关键评价指标,利用表面粗糙度仪测得缸盖铣削表面粗糙度,并基于金属铣削表面形成机理识别铣削三要素铣削速度、每齿进给量、背吃刀量及过程状态变量铣削力、铣削热为关键影响因素;(1) According to the production conditions of the cylinder head, surface roughness is determined as the key evaluation index of milling surface quality. The surface roughness of the cylinder head milling is measured using a surface roughness meter, and the three elements of milling are identified based on the metal milling surface formation mechanism: milling speed, each tooth Feed rate, back cutting amount and process state variables milling force and milling heat are the key influencing factors;
    (2)考虑到缸盖生产中利用传感器收集铣削力及铣削热数据成本高的特点,构建基于半解析法的铣削力机理模型和基于热源法的铣削热机理模型,探究缸盖铣削机理,机理模型输出为根据当前工艺参数下的瞬时铣削力及铣削热数据,并将铣削过程所收集工艺参数、机理模型输出过程状态变量数据及测得表面粗糙度值构建数据集存储至历史数据库中;(2) Considering the high cost of using sensors to collect milling force and milling heat data in cylinder head production, a milling force mechanism model based on the semi-analytical method and a milling thermal mechanism model based on the heat source method were constructed to explore the cylinder head milling mechanism. The model output is instantaneous milling force and milling heat data based on the current process parameters, and a data set is constructed and stored in the historical database based on the process parameters collected during the milling process, the process state variable data output by the mechanism model, and the measured surface roughness values;
    (3)将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素作为数据驱动模型输入,测量得到缸盖铣削表面粗糙度值为模型输出,构建基于自适应差分进化算法优化SVR的铣削表面粗糙度预测模型,并初步确定预测模型参数范围;(3) The milling force and milling heat data output by the mechanism model are combined with the current three corresponding milling elements as the input of the data-driven model. The measured surface roughness value of the cylinder head milling is the model output, and a milling optimization SVR based on the adaptive differential evolution algorithm is constructed. Surface roughness prediction model, and initially determine the prediction model parameter range;
    (4)利用铣削过程获取实时数据预测缸盖铣削表面粗糙度值,比较模型输出表面粗糙度值与实际测量值间误差是否符合要求,若不符合精度要求,则返回步骤(2),重新构建机理模型及数据驱动模型;若符合精度要求,则进一步判断表面粗糙度值是否符合生产质量需求,并对预测结果不佳的工艺参数组合及时调整,同时,将实时状态数据集导入至历史数据库中,用作预测模型训练。(4) Use the milling process to obtain real-time data to predict the cylinder head milling surface roughness value, and compare whether the error between the model output surface roughness value and the actual measured value meets the requirements. If it does not meet the accuracy requirements, return to step (2) and rebuild Mechanism model and data-driven model; if the accuracy requirements are met, it will be further judged whether the surface roughness value meets the production quality requirements, and process parameter combinations with poor prediction results will be adjusted in a timely manner. At the same time, the real-time status data set will be imported into the historical database , used for prediction model training.
  2. 如权利要求1所述的基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,其特征在于:步骤(1)中确定表面粗糙度为缸盖铣削表面质量评价指标,原因是缸盖表面粗糙度测量成本低、状态表征能力强,且属于可量化性指标,同时,基于金属表面形成机理识别铣削三要素及铣削力、铣削热 数据为铣削表面质量关键影响因素。The mechanism- and data-driven surface quality prediction method for engine cylinder head milling as claimed in claim 1, characterized in that: in step (1), the surface roughness is determined as the cylinder head milling surface quality evaluation index because the cylinder head surface is rough. The measurement cost is low, the state characterization ability is strong, and it is a quantifiable indicator. At the same time, the identification of the three elements of milling and milling force and milling heat data based on the metal surface formation mechanism are the key influencing factors of milling surface quality.
  3. 如权利要求1所述的基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,其特征在于:步骤(2)包括如下子步骤:The mechanism- and data-driven surface quality prediction method for engine cylinder head milling as claimed in claim 1, wherein step (2) includes the following sub-steps:
    (21)综合考虑铣削的剪切机制和犁切机制,将N个刀片的切削刃沿轴线方向微分并离散为M个微元,求得刀片坐标系上第j个切削刃上第k个切削微元的瞬时切削力表达式;(21) Comprehensively consider the shearing mechanism and plowing mechanism of milling, differentiate and discretize the cutting edges of N blades into M micro-elements along the axial direction, and obtain the k-th cutting edge on the j-th cutting edge in the blade coordinate system. The instantaneous cutting force expression of micro-element;
    (22)将铣刀刀片坐标系内的微元铣削力转换到刀具坐标系内,并沿轴线方向积分,对N个铣削刃上铣削力求和,得到作用在铣刀上三个方向的瞬时铣削力;(22) Convert the micro-element milling force in the milling cutter blade coordinate system to the tool coordinate system, integrate it along the axis direction, and sum the milling forces on the N milling edges to obtain the instantaneous milling force acting on the milling cutter in three directions. force;
    (23)基于快速标定法辨识铣削力系数,通过若干次铣削实验测得三向铣削力的平均值反求铣削力系数;(23) Based on the rapid calibration method, the milling force coefficient is identified, and the average value of the three-dimensional milling force measured through several milling experiments is used to calculate the milling force coefficient;
    (24)在已知铣削加工中的每齿进给量、背吃刀量等参数情况下,可快速计算工件表面所受三向瞬时铣削力及铣削合力;(24) When parameters such as the feed per tooth and the amount of back tool engagement in milling are known, the three-dimensional instantaneous milling force and the resultant milling force on the workpiece surface can be quickly calculated;
    (25)通过导热微分方程求解瞬时点热源所产生温度场,并计算将线热源微分离散为无数个微元点时产生的温度场;(25) Solve the temperature field generated by the instantaneous point heat source through the thermal conduction differential equation, and calculate the temperature field generated when the line heat source is differentially dispersed into countless micro-element points;
    (26)推导移动有限大面热源所产生温度场,并迭加各个面热源温度场,采用镜像法获得温度场边界条件解,求得铣削表面温度场任意点的瞬时温度。(26) The temperature field generated by the moving finite-large surface heat source is derived, and the temperature fields of each surface heat source are superimposed. The mirror method is used to obtain the temperature field boundary condition solution, and the instantaneous temperature at any point of the milling surface temperature field is obtained.
  4. 如权利要求1所述的基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,其特征在于:步骤(3)包括如下子步骤:The mechanism- and data-driven surface quality prediction method for engine cylinder head milling as claimed in claim 1, wherein step (3) includes the following sub-steps:
    (31)将机理模型输出的铣削力及铣削热数据结合当前对应铣削三要素数据采用最大最小法归一化处理,处理后的变量数据分布在[0,1]范围内;(31) The milling force and milling heat data output from the mechanism model are combined with the current corresponding milling three-element data and normalized using the max-min method. The processed variable data is distributed in the range of [0,1];
    (32)选取SVR用作回归预测,并初步确定支持向量回归机内部三个参数范围,缩小搜索空间;(32) Select SVR for regression prediction, and initially determine the three parameter ranges within the support vector regression machine to narrow the search space;
    (33)DE算法内部参数缩放因子F和交叉概率CR分别按照下式自适应变化,并利用自适应差分进化算法对支持向量回归模型寻优;(33) The internal parameter scaling factor F and crossover probability CR of the DE algorithm are adaptively changed according to the following formula, and the adaptive differential evolution algorithm is used to optimize the support vector regression model;
    Figure PCTCN2022131914-appb-100001
    Figure PCTCN2022131914-appb-100001
    式中,函数定义域为(-∞,+∞),值域为(-1,1),式中,CR max为最大交叉概率,CR min为最小交叉概率,交叉概率CR在CR max和CR min范围内变化, In the formula, the function domain is (-∞, +∞), and the value range is (-1,1). In the formula, CR max is the maximum crossover probability, CR min is the minimum crossover probability, and the crossover probability CR is between CR max and CR changes within the min range,
    (34)将训练数据寻优得到的SVR模型内部参数确定为最佳参数组合,通过输入实时工艺参数及状态变量数据预测缸盖铣削表面粗糙度值。(34) The internal parameters of the SVR model obtained by optimizing the training data are determined as the best parameter combination, and the cylinder head milling surface roughness value is predicted by inputting real-time process parameters and state variable data.
  5. 如权利要求1所述的基于机理与数据驱动的发动机缸盖铣削表面质量预测方法,其特征在于:利用缸盖生产实际样本数据验证预测模型输出精度,并通过分析算法运算时间及实际值与预测值间的残差以评估预测模型的性能,若预测模型精度未达到误差要求,则返回步骤(2)、(3),重新计算铣削机理模型,并训练数据驱动模型,寻找最佳模型参数组合。The mechanism- and data-driven surface quality prediction method for engine cylinder head milling as claimed in claim 1, characterized in that: the actual sample data of cylinder head production is used to verify the output accuracy of the prediction model, and the calculation time and actual value of the algorithm are compared with the prediction The residual error between values is used to evaluate the performance of the prediction model. If the accuracy of the prediction model does not meet the error requirements, return to steps (2) and (3) to recalculate the milling mechanism model and train the data-driven model to find the best combination of model parameters. .
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