CN112214933A - Fatigue performance prediction method based on machine learning - Google Patents
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Abstract
The invention discloses a fatigue performance prediction method based on machine learning, which comprises the steps of firstly collecting material data to form initial sample data, adopting a Sobol global sensitivity analysis method to evaluate the contribution degree of each characteristic variable to the variance of an output variable, and evaluating the contribution degree of each characteristic variable to the variance of the output variableThe importance of the training sample data is ranked, and then key characteristic variables are screened out to form training sample data; dividing training sample data into a training set, a verification set and a test set for training a model; performing model training learning based on training set and validation set data, obtaining corresponding model parameters, outputting model based on existing training set/validation set learning training, and adopting determination coefficient R2And quantitatively evaluating the prediction performance of the model, completing the establishment of the model, and predicting the fatigue performance by using the trained model. The invention utilizes more comprehensive material information to establish the nonlinear corresponding relation between the fatigue performance and the material information and is applied to fatigue performance prediction in higher precision and generalized environment.
Description
Technical Field
The invention belongs to the technical field of fatigue performance evaluation, and particularly relates to a fatigue performance prediction method based on machine learning.
Background
In the industrial fields of automobiles, aerospace and the like, fatigue failure is a main mode of failure of key structural parts. The section of the mechanical engineering handbook of China "structural fatigue strength design" indicates that: more than 80% of mechanical components are in fatigue failure. The fatigue performance data of the material is important design information for product development, but the cost of the material durability test is high and the period is long (the test period of a single fatigue curve is more than 1 month, and the test cost is more than 10 ten thousand RMB (without material cost and processing cost)). Since 1870, the link between fatigue strength and tensile properties of metallic materials has been widely explored, and the main objective is to predict the fatigue strength of materials quickly by using tensile tests with lower test cost, but this technical route has obvious defects. Firstly, the deformation uniformity of the tensile deformation is obviously higher than that of the fatigue deformation, in fact, most of the fatigue deformation is caused by local defects or stress concentration, and the fatigue deformation with smaller stress amplitude is particularly obvious; secondly, the deformation mechanisms of fatigue deformation and tensile deformation are in complex association, and the fatigue deformation and the tensile deformation are only associated under specific conditions, so that more parameters except the tensile property are generally required to predict the fatigue performance; third, the effect and degree of effect of changes in composition and process parameters on tensile and fatigue properties are not necessarily the same or similar.
With the rapid development of computer technology and data analysis technology and the rapid growth of the scale of material testing and simulation data, the concept of "Materials information" has been attracting attention. The advanced modern data analysis statistics and modeling method gradually enters the traditional material research and development field, and the method has a primary value in the aspects of reducing development cost, shortening development period and the like. The method is based on basic information (components, process, hardness, organization and other information) of the material and completely depends on data driving, accurately and quickly predicts the fatigue life of the material, and has great significance for research and development of new materials, acceleration of material tests and forward optimization design of industrial products.
Patent publication No. CN109855959A discloses a method for predicting fatigue strength of a metal material, which comprises the following steps: 1. selecting materials of the same series for tensile property test; 2. testing fatigue performance; 3. parameter fitting: determining the sigma of the material by using the measured tensile and fatigue datay/σbAnd σw/σyValue (note: sigma)yIs the yield strength, σbIs the tensile strength, σwIs fatigue strength) and then by σy/σbThe value being abscissa, in σw/σyValue plotting sigma for ordinatew/σy—σy/σbObtaining parameters omega and C (slope and intercept respectively) through linear fitting; 4. determining the value of sigma y/sigma b of the material through the tensile property of the material to be predicted, and further determining the sigma of the material through the fitted straight linew/σyValue, thereby obtaining fatigue strength σ of the corresponding materialwAnd (5) predicting the value. The method realizes the purpose of predicting the fatigue strength of the same series of metal materials by utilizing a tensile test and a small amount of fatigue tests by establishing a corresponding relation model among the fatigue strength, the yield strength and the tensile strength. However, the corresponding relation between the fatigue strength and the tensile property is only established by the technology, and the relation model adopts the simplest linear fitting and is influenced by factors such as manufacturing process, macro segregation, component adjustment and the like, so that the method cannot obtain a satisfactory prediction result, and the generalization capability of the model is poor.
Disclosure of Invention
In order to overcome the defects in the prior art, the invention provides a fatigue performance prediction method based on machine learning, which utilizes more comprehensive material information to establish the nonlinear corresponding relation between the fatigue performance and the material information and is applied to fatigue performance prediction in higher precision and generalized environment.
The technical scheme adopted by the invention is as follows:
a fatigue performance prediction method based on machine learning comprises the following steps,
collecting material data, wherein the material data comprises related data of material composition, microstructure parameters, heat treatment process parameters, processing process parameters, material mechanical properties and material physical properties to form initial sample data, and is expressed as S { (x { (X)1,y1);(x2,y2);…(xn,yn)},xiIs a characteristic variable of the ith group of samples, i is 1, 2. y isiFor group i samples at 106Fatigue strength at cycle life, and xiAs input vector for machine learning, yiAs an output vector for machine learning; and carrying out normalization processing on the sample data;
evaluating the contribution degree of each characteristic variable to the variance of the output variable by adopting a Sobol global sensitivity analysis method, and obtaining the contribution amount of the change of each characteristic variable to the variance of the label variable through variance analysis; sorting the importance of the characteristic variables, further screening out key characteristic variables and forming training sample data;
dividing training sample data into a training set, a verification set and a test set for training a model; performing model training learning based on training set and validation set data, obtaining corresponding model parameters, outputting model based on existing training set/validation set learning training, and adopting determination coefficient R2And quantitatively evaluating the prediction performance of the model, completing the establishment of the model, and predicting the fatigue performance by using the trained model.
Further, a characteristic variable x in the initial sample dataiThe dimensions v of (a) are 13, and the weight percentages of the 8 elements C, Si, Mn, P, S, Cr, Ni and Cu, the yield strength, the tensile strength, the elongation, the reduction of area and the Brinell hardness are respectively.
Further, normalization processing is performed on the characteristic values in the sample data by adopting a range transform method, and the normalization processing is expressed as:
wherein x isi,jNormalized for the jth feature in the ith set of samples,andrespectively the minimum value and the maximum value of the jth characteristic in all sample data.
And further, performing kernel principal component analysis on the normalized sample data by adopting a principal component analysis method, mapping a characteristic variable matrix in the initial sample data from a low-dimensional space to a high-dimensional linear space to realize linearization of nonlinear numbers, and compressing and removing part of redundant noise information in the data.
Further, the existing characteristic variable matrix is mapped to a high-dimensional linear space from a low-dimensional space through an RBF kernel function to realize the linearization of nonlinear numbers:
where the kernel parameter σ is a real number, x, predefined in advanceiAnd xjThe normalized sample data of the ith group and the jth group.
Further, a large number of samples are generated in a given characteristic variable analysis space through Sobol sampling, and the analysis result is 106Determining sample size according to computing power of computer, with recommended value of 10vAnd v is the total number of characteristic variables.
Furthermore, a BP neural network model is selected as the model, and a two-layer feedforward network comprises an S-shaped hidden neuron and a linear output neuron and is suitable for solving the multidimensional mapping problem; and setting the number of hidden neurons as 10, training and learning the data of the training set and the verification set, acquiring corresponding model parameters, and outputting the NNF model based on the existing training set/verification set learning and training.
Further, the model is selected from linear regression, fine tree, quadratic support vector machine regression or rational quadratic gaussian process regression.
The invention has the beneficial effects that:
1. compared with the traditional fatigue performance prediction method, the method adopted by the invention mainly depends on the existing data in the material database, and can obtain a fatigue performance prediction result with higher accuracy by combining a small amount of fatigue tests. The characteristic of the invention not only saves a large amount of testing cost in engineering application, but also can give full play to the function of the existing database and help engineering technicians to understand and master the relation and rule among different material data.
2. Compared with a fatigue performance prediction method which solely depends on machine learning, the multi-fidelity optimization method adopted by the invention has higher reliability and cost performance. Although machine learning can establish a nonlinear correspondence relationship between different pieces of information of a material, when the relevance between the pieces of information is low, problems such as overfitting and the like are often caused, so that the generalization capability of a model is poor, and the actual prediction effect is poor. The multi-fidelity optimization method disclosed by the invention compensates and optimizes the problem, a machine learning model obtained by database data training is limited to be a low-fidelity model, and fatigue performance of a small amount of real tests is used as high-fidelity data and used for calibrating the low-fidelity model, so that the contradiction of machine learning overfitting and high fatigue test cost is well balanced.
3. The invention can be used for optimizing the material preparation process. The present invention is currently labeled as fatigue performance, and may be labeled with virtually any performance or organization parameter. The preparation process parameters of the material can be input as a model, and conversely, the preparation process parameters can be optimized by optimizing the label result, so that the industrial application target of improving the material preparation level is realized.
Drawings
FIG. 1 is a flow diagram of fatigue performance prediction based on machine learning.
FIG. 2 is a graph showing the result of principal component analysis by KPCA.
FIG. 3 is a feature variable importance ranking diagram.
FIG. 4 is a sample distribution plot for a training set and a test set.
FIG. 5 is a graph comparing predicted values with experimental values.
Fig. 6 error distribution histogram.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
A fatigue performance prediction method based on machine learning comprises the following steps:
1. data preparation and preprocessing. First, material data is collected, the material data including material composition, microstructural parametersData such as heat treatment process parameters, processing process parameters, mechanical properties of materials, physical properties of materials and the like; for example, a certain steel material needs to be collected, and the composition, tensile and fatigue data of the steel material need to be collected, so that the generalization prediction capability of the model is improved, and the collected data series cover different technological processes such as heat treatment (such as quenching, tempering, normalizing, inductive quenching, isothermal quenching, carburizing and the like) and plastic working (such as rolling, forging, extrusion and the like). Obtaining initial sample data with perfect information through cleaning and screening, namely S { (x)1,y1);(x2,y2);…(xn,yn)}. Wherein the total number n of samples is 105; x is the number ofi∈Rv( i 1, 2.. times.n) is a characteristic variable of the ith group of samples, and the characteristic variable xiContains 8 main elements (i.e. C, Si, Mn, P, S, Cr, Ni and Cu) in weight percentage, yield strength, tensile strength, elongation, reduction of area and Brinell hardness, so that the dimension v of the characteristic variable is 13; a characteristic variable xiAs an input vector for machine learning; y isiIs the i-th sample at 106Fatigue strength at cycle life and as an output vector for machine learning (also known as a "label").
Then, normalizing all sample characteristic values by adopting a range transform method, wherein a calculation formula of the range transform method is as follows:
wherein x isi,jNormalized for the jth feature in the ith set of samples,andrespectively the minimum value and the maximum value of the jth characteristic in all sample data.
2. And (4) analyzing the main components. Kernel Principal Component Analysis (KPCA) was performed on the normalized sample data using Kernel Principal Component Analysis. And mapping the existing characteristic variable matrix from a low-dimensional space to a high-dimensional linear space through an RBF kernel function to realize linearization of nonlinear numbers.
where the kernel parameter σ is a real number, x, predefined in advanceiAnd xjThe normalized sample data of the ith group and the jth group. And performing dimensionality reduction on the data mapped to the high-dimensional linear space by adopting principal component analysis, realizing data compression and removing partial redundant noise information in the data. The principal component contribution of the high-dimensional linear spatial data after principal component analysis is shown in fig. 2. It can be seen that the cumulative interpretation ability of the first, second, and third pivot elements for 13 feature variables in the original data set has reached 91.7%, which means that 13-dimensional feature variables in the original data set can be effectively reduced to 3-dimensional, and since the feature variables in this case are of few types and all have important physical meanings, the original feature variables are not subjected to dimension reduction processing during model training.
3. Feature importance ranking. And evaluating the contribution degree of each characteristic variable to the variance of the output variable by adopting a Sobol global sensitivity analysis method, and sequencing the importance of the characteristic variables. Generating a large number of samples in a given characteristic variable analysis space through Sobol sampling, wherein the sample size is determined according to the computing power of a computer, and the recommended value is 10vAnd v is the total number of characteristic variables. And predicting the label of each sample by adopting a machine learning model, and obtaining the contribution of the change of each characteristic variable to the variance of the label variable through variance analysis. As shown in FIG. 3, the Yield strength (Yield strength), Hardness (Hardness) and tensile strength (Ultimate tensile strength) were 10 times higher than those of the conventional steel sheet6Fatigue strength at cycle life is quite closely related in nature.
4. Training set/test set partitioning. Whether the training set is reasonable or not has an important influence on the generalization capability of the model. Principal component analysis results show that the first principal component and the second principal component have 87% of interpretation capability on the characteristics of the original data set, and the first principal component plan and the second principal component plan shown in fig. 4 can visually reflect the basic characteristics of a characteristic space. In the present embodiment, the samples have uniform feature distribution, so that a random sampling method is adopted, and about 70% of the samples are selected as a training set (i.e., 74 samples), about 10% of the samples are selected as a verification set (i.e., 10 samples), and about 20% of the samples are selected as a test set (i.e., 21 samples), and the test sets are uniformly distributed in the coverage of the training set.
5. And selecting and training a model. In the scheme, a BP Neural network Fitting method (Neural network Fitting) based on a Levenberg-marquardt algorithm is selected, and the two-layer feedforward network comprises an S-type hidden neuron and a linear output neuron, so that the method is suitable for solving the problem of multi-dimensional mapping. And (3) using an NNF method, setting the number of hidden neurons to be 10, training and learning the data of the training set and the verification set, acquiring corresponding model parameters, and outputting an NNF model trained based on the existing training set/verification set learning. Machine learning methods also include linear regression, fine trees, quadratic Support Vector Machine (SVM) regression, rational quadratic gaussian process regression, and the like.
6. And (6) evaluating the model. In this case, the coefficient R is determined2To quantitatively evaluate the model predicted performance. The calculation formula is as follows:
as shown in FIG. 5, the test set prediction result R in this case20.91, overall data set prediction result R20.90, the model prediction performance is good. In order to further grasp the distribution of the deviation of the model with respect to the predicted results of all samples, an error distribution histogram of the model predicted results is plotted with the number of samples in a certain error interval as ordinate and the corresponding error interval as abscissa, as shown in fig. 6. Generally, the error histogram should be in unimodal form, distributed axisymmetrically with X ═ 0, and the more accurate the prediction, the higher the peak value. By determining the coefficient R2And the values are combined with the error distribution histogram and the prediction/experimental value comparison graph, so that the prediction performance of the training model can be basically judged.
The above embodiments are only used for illustrating the design idea and features of the present invention, and the purpose of the present invention is to enable those skilled in the art to understand the content of the present invention and implement the present invention accordingly, and the protection scope of the present invention is not limited to the above embodiments. Therefore, all equivalent changes and modifications made in accordance with the principles and concepts disclosed herein are intended to be included within the scope of the present invention.
Claims (8)
1. A fatigue performance prediction method based on machine learning is characterized in that material data are collected, wherein the material data comprise related data of material composition, microstructure parameters, heat treatment process parameters, processing process parameters, material mechanical properties and material physical properties to form initial sample data, and the initial sample data are expressed as S { (x {)1,y1);(x2,y2);…(xn,yn)},xiIs a characteristic variable of the ith group of samples, i is 1, 2. y isiFor group i samples at 106Fatigue strength at cycle life, and xiAs input vector for machine learning, yiAs an output vector for machine learning; and carrying out normalization processing on the sample data;
evaluating the contribution degree of each characteristic variable to the variance of the output variable by adopting a Sobol global sensitivity analysis method, and obtaining the contribution amount of the change of each characteristic variable to the variance of the label variable through variance analysis; sorting the importance of the characteristic variables, and further screening out key characteristic variables to form training sample data;
dividing training sample data into a training set, a verification set and a test set for training a model; performing model training learning based on training set and validation set data, obtaining corresponding model parameters, outputting model based on existing training set/validation set learning training, and adopting determination coefficient R2And quantitatively evaluating the prediction performance of the model, completing the establishment of the model, and predicting the fatigue performance by using the trained model.
2. The method according to claim 1, wherein the feature variable x in the initial sample data is a feature variable x in the fatigue performance prediction method based on machine learningiHas a dimension v of 13, respectivelyThe weight percentage of 8 elements of C, Si, Mn, P, S, Cr, Ni and Cu, yield strength, tensile strength, elongation, reduction of area and Brinell hardness.
3. The method for predicting fatigue performance based on machine learning according to claim 1, wherein the eigenvalue in the sample data is normalized by a range transform method, which is expressed as:
4. The fatigue performance prediction method based on machine learning according to claim 1, characterized in that a principal component analysis method is adopted to perform kernel principal component analysis on the normalized sample data, a characteristic variable matrix in the initial sample data is mapped from a low-dimensional space to a high-dimensional linear space to realize linearization of nonlinear numbers, and partial redundant noise information in the data is compressed and removed.
5. The machine learning-based fatigue performance prediction method of claim 4, wherein the existing characteristic variable matrix is mapped from a low-dimensional space to a high-dimensional linear space through an RBF kernel function to realize linearization of nonlinear numbers:
where the kernel parameter σ is a real number, x, predefined in advanceiAnd xjThe normalized sample data of the ith group and the jth group.
6. The method for predicting fatigue performance based on machine learning as claimed in any one of claims 1-5, wherein a large number of samples are generated in a given characteristic variable analysis space by Sobol sampling, and the analysis result is 106Determining sample size according to computing power of computer, with recommended value of 10vAnd v is the total number of characteristic variables.
7. The machine learning-based fatigue performance prediction method of claim 6, wherein the model is a BP neural network model, and the two-layer feedforward network comprises S-type hidden neurons and linear output neurons, and is suitable for solving the multidimensional mapping problem; and setting the number of hidden neurons as 10, training and learning the data of the training set and the verification set, acquiring corresponding model parameters, and outputting the NNF model based on the existing training set/verification set learning and training.
8. The method of claim 7, wherein the model is selected from linear regression, fine tree, quadratic support vector machine regression, and rational quadratic Gaussian process regression.
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