CN118278134A - Transmission precision enhancement system of planetary gear speed reducer - Google Patents
Transmission precision enhancement system of planetary gear speed reducer Download PDFInfo
- Publication number
- CN118278134A CN118278134A CN202410692610.6A CN202410692610A CN118278134A CN 118278134 A CN118278134 A CN 118278134A CN 202410692610 A CN202410692610 A CN 202410692610A CN 118278134 A CN118278134 A CN 118278134A
- Authority
- CN
- China
- Prior art keywords
- gear
- return difference
- machining
- optimization
- parameters
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 230000005540 biological transmission Effects 0.000 title claims abstract description 31
- 239000003638 chemical reducing agent Substances 0.000 title claims abstract description 20
- 238000005457 optimization Methods 0.000 claims abstract description 83
- 238000003754 machining Methods 0.000 claims abstract description 71
- 230000009467 reduction Effects 0.000 claims abstract description 46
- 238000004364 calculation method Methods 0.000 claims abstract description 40
- 238000004519 manufacturing process Methods 0.000 claims abstract description 35
- 238000012545 processing Methods 0.000 claims abstract description 34
- 238000004458 analytical method Methods 0.000 claims abstract description 16
- 238000000342 Monte Carlo simulation Methods 0.000 claims abstract description 11
- 238000004088 simulation Methods 0.000 claims description 58
- 238000000034 method Methods 0.000 claims description 54
- 230000008569 process Effects 0.000 claims description 39
- 238000005520 cutting process Methods 0.000 claims description 22
- 238000012937 correction Methods 0.000 claims description 19
- 238000004381 surface treatment Methods 0.000 claims description 11
- 238000012544 monitoring process Methods 0.000 claims description 5
- 230000006978 adaptation Effects 0.000 claims description 2
- 230000000694 effects Effects 0.000 abstract description 6
- 238000013461 design Methods 0.000 description 4
- 230000002708 enhancing effect Effects 0.000 description 4
- 230000007613 environmental effect Effects 0.000 description 4
- 238000012986 modification Methods 0.000 description 4
- 230000004048 modification Effects 0.000 description 4
- 238000011156 evaluation Methods 0.000 description 3
- 239000000463 material Substances 0.000 description 3
- 238000012549 training Methods 0.000 description 3
- 238000004422 calculation algorithm Methods 0.000 description 2
- 238000005265 energy consumption Methods 0.000 description 2
- 238000011478 gradient descent method Methods 0.000 description 2
- 238000010438 heat treatment Methods 0.000 description 2
- 238000005070 sampling Methods 0.000 description 2
- 230000004075 alteration Effects 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 238000004140 cleaning Methods 0.000 description 1
- 238000012938 design process Methods 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 230000018109 developmental process Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 239000000284 extract Substances 0.000 description 1
- 230000002068 genetic effect Effects 0.000 description 1
- 238000000227 grinding Methods 0.000 description 1
- 238000012417 linear regression Methods 0.000 description 1
- 230000007774 longterm Effects 0.000 description 1
- 230000007257 malfunction Effects 0.000 description 1
- 238000013178 mathematical model Methods 0.000 description 1
- 238000010606 normalization Methods 0.000 description 1
- 238000002360 preparation method Methods 0.000 description 1
- 230000003746 surface roughness Effects 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
- 230000036346 tooth eruption Effects 0.000 description 1
Landscapes
- Retarders (AREA)
- Gears, Cams (AREA)
Abstract
The invention discloses a transmission precision enhancement system of a planetary gear speed reducer, which relates to the technical field of planetary gear speed reducers and comprises the following components: basic information of a planetary gear speed reduction device is obtained; performing circumferential backlash calculation based on tooth thickness thinning information to obtain backlash data; inputting the backlash data into a planetary gear return difference analysis model by combining the basic structure information, and outputting a gear return difference index; acquiring a plurality of gear machining parameters of a planetary gear reduction device; when the gear return difference index is larger than the preset return difference index, taking the preset return difference index as an optimization target, and carrying out parameter optimization on a plurality of gear processing parameters based on a Monte Carlo method to obtain a plurality of optimized gear processing parameters; the gear machining of the planetary gear reduction unit is performed with a plurality of optimized gear machining parameters. The invention solves the technical problem of transmission precision reduction caused by the influence of gear clearance in the manufacturing process of the planetary gear speed reducer in the prior art, and achieves the technical effect of improving the transmission precision of gears.
Description
Technical Field
The invention relates to the technical field of planetary gear speed reducers, in particular to a transmission precision enhancement system of a planetary gear speed reducer.
Background
With the continued advancement of industrial mechanization and the continued development of precision manufacturing techniques, planetary gear reduction devices play an increasingly important role in numerous industrial applications. They are widely used in various mechanical drive trains to provide stable deceleration and torque-up functions to the device. However, with the increasing demands of mechanical devices on transmission accuracy, the problem of transmission accuracy of the planetary gear reduction device is increasingly highlighted.
In the design and manufacturing process of the conventional planetary gear speed reducing device, it is often difficult to avoid the influence of factors such as gear clearance, manufacturing error, thermal deformation and the like, and the factors can lead to the reduction of transmission precision. Particularly in the case of high loads, high-speed operation or long-term continuous operation, a reduction in the transmission accuracy may lead to a decrease in the performance of the mechanical equipment, an increase in the energy consumption, and even to a malfunction.
Disclosure of Invention
The application provides a transmission precision enhancement system of a planetary gear speed reducer, which is used for solving the technical problem that the transmission precision is reduced due to the influence of gear clearances in the manufacturing process of the planetary gear speed reducer in the prior art.
In view of the above, the present application provides a transmission accuracy enhancing system of a planetary gear reduction device.
The application provides a transmission precision enhancement system of a planetary gear speed reducer, which comprises the following components:
Basic information of the planetary gear speed reduction device is obtained, wherein the basic information comprises basic structure information and tooth thickness thinning information; performing circumferential backlash calculation based on the tooth thickness thinning information to obtain backlash data of the sun gear, the planet gear and the internal gear; inputting the backlash data of the sun gear, the planet gears and the internal gear into a planet gear return difference analysis model by combining the basic structure information, and outputting a gear return difference index, wherein the planet gear return difference analysis model comprises a planet gear return difference calculation function; acquiring a plurality of gear machining parameters of a planetary gear speed reduction device, wherein the plurality of gear machining parameters comprise gear geometric technological parameters, cutting machining technological parameters and tooth surface treatment technological parameters; when the gear return difference index is larger than a preset return difference index, taking the preset return difference index as an optimization target, and carrying out parameter optimization on the plurality of gear processing parameters based on a Monte Carlo method to obtain a plurality of optimized gear processing parameters; and carrying out gear machining of the planetary gear reduction device by using the optimized gear machining parameters.
The technical scheme provided by the application has at least the following technical effects or advantages:
the method comprises the steps of obtaining basic information of a planetary gear speed reduction device, wherein the basic information comprises basic structure information and tooth thickness thinning information; performing circumferential backlash calculation based on tooth thickness thinning information to obtain backlash data of a sun gear, a planet gear and an internal gear; inputting the backlash data of the sun gear, the planet gears and the internal gear into a planet gear return difference analysis model by combining the basic structure information, and outputting a gear return difference index, wherein the planet gear return difference analysis model comprises a planet gear return difference calculation function; acquiring a plurality of gear machining parameters of a planetary gear reduction device, wherein the plurality of gear machining parameters comprise gear geometric technological parameters, cutting machining technological parameters and tooth surface treatment technological parameters; when the gear return difference index is larger than the preset return difference index, taking the preset return difference index as an optimization target, and carrying out parameter optimization on a plurality of gear processing parameters based on a Monte Carlo method to obtain a plurality of optimized gear processing parameters; the gear machining of the planetary gear reduction unit is performed with a plurality of optimized gear machining parameters. The application solves the technical problem of transmission precision reduction caused by the influence of gear clearance in the manufacturing process of the planetary gear speed reducer in the prior art, and achieves the technical effect of improving the transmission precision of gears by optimizing gear processing parameters and reducing gear return difference.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for the description of the embodiments will be briefly described below, and it is apparent that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a schematic diagram of a transmission accuracy enhancement system of a planetary gear reduction device according to an embodiment of the present application;
Fig. 2 is a schematic flow chart of a transmission accuracy enhancing method of a planetary gear reduction device according to an embodiment of the present application.
Reference numerals illustrate: the device comprises a planetary gear reduction device basic information acquisition module 11, a circumferential backlash calculation module 12, a gear return difference index acquisition module 13, a gear machining parameter acquisition module 14, an optimized gear machining parameter acquisition module 15 and a gear machining module 16.
Detailed Description
The application provides a transmission precision enhancement system of a planetary gear speed reducer, which aims at solving the technical problem of transmission precision reduction caused by the influence of gear clearance in the manufacturing process of the planetary gear speed reducer in the prior art, and achieves the technical effect of improving the transmission precision of gears by optimizing gear processing parameters and reducing gear return difference.
The technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application. It will be apparent that the described embodiments are only some, but not all, embodiments of the application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
It should be noted that the terms "comprises" and "comprising," along with any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or server that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed or inherent to such process, method, article, or apparatus, but may include other steps or modules not expressly listed or inherent to such process, method, article, or apparatus.
Example 1
As shown in fig. 1, the present application provides a transmission accuracy enhancing system of a planetary gear reduction device for performing a transmission accuracy enhancing method of a planetary gear reduction device as shown in fig. 2, the system comprising:
A planetary gear reduction unit basic information acquisition module 11, wherein the planetary gear reduction unit basic information acquisition module 11 acquires basic information of a planetary gear reduction unit, and the basic information comprises basic structure information and tooth thickness thinning information;
In the embodiment of the application, the basic information acquisition module of the planetary gear reduction device extracts basic information of the planetary gear reduction device from a historical database. The historical database stores various data during past planetary gear reducer designs, manufacturing, testing, and use.
And obtaining basic structure information and tooth thickness thinning information by extracting a historical database. The basic structure information comprises gear parameters, layout modes of the planet gears and the sun gears, design specifications of the inner gear ring and the like. The tooth thickness reduction information includes tooth thickness reduction data of the gear in the past machining process.
The circumferential backlash calculation module 12 performs circumferential backlash calculation based on the tooth thickness thinning information by the circumferential backlash calculation module 12 to obtain backlash data of the sun gear, the planet gear and the internal gear;
in the embodiment of the application, the change of the tooth thickness is a main factor affecting the backlash in gear engagement, namely, the problem affecting the precision. The variation in gear thickness is typically a reduction in tooth thickness in production. The assurance of backlash in the mechanical design criteria is measured by the difference between the theoretical and actual values for the gear. This difference is directly related to the radial additional feed of the cutter when actually producing the product.
Tooth thickness reduction is reflected in various modes, and radial feed error of cutting teeth is used in productionDeviation of tooth thicknessAverage length deviation of common normalSum measuring column measuring distance deviationReflecting.
Is a value reflecting the radial direction of the gear, the value is the clearance generated by the gear in the radial direction, and the relation between the radial clearance and the circumferential clearance can be utilized to obtain the circumferential clearance generated by the gear as。The purpose of the negative calculation is to ensure the reduction of tooth thickness, namely the distance when the gear cutter is shifted from the designed ideal point to the center of the gear in production.
The value of the circumferential backlash is reflected, and is actually obtained by measuring on the indexing cylindrical surface, namely, the difference between the actual measured value of the tooth thickness and the nominal value. In order to ensure a certain reduction of tooth thickness in production, the method is generally used forTake a negative value. Therefore it produces a circumferential backlash of。
The value of the normal backlash is reflected, and the measuring method is that the difference between the average value and the nominal value of the actual length of the common normal is taken as a target value within the range of one circle of the gear. The circumferential backlash generated by the normal backlash and the circumferential backlash can be obtained by the number relation of the normal backlash and the circumferential backlash。
The value of radial backlash is reflected, and the measuring method is that the measuring distance of a measuring column is real within the circle range of the gear
The difference between the marginal value and the nominal value is the target value, and the relationship between the radial side gap and the circumferential side gap is utilized to obtain that the generated circumferential side gap is。
In calculating the transmission accuracy of the system, different backlash is transferred to the corresponding gear in order to simplify the calculation process. If in order toChecking the tooth thickness, the backlash of the gear caused by the reduction of the tooth thickness should be。
In the above formula, k=1, 2 and 3 correspond to the sun gear, the planet gear and the inner gear ring respectively.
And calculating the circumferential backlash through the method to obtain backlash data of the sun gear, the planet gear and the internal gear.
The gear return difference index acquisition module 13, wherein the gear return difference index acquisition module 13 combines the basic structure information, inputs the backlash data of the sun gear, the planet gear and the internal gear into a planet gear return difference analysis model, and outputs a gear return difference index, and the planet gear return difference analysis model comprises a planet gear return difference calculation function;
In the embodiment of the application, the gear return difference index acquisition module receives parameters such as the modulus, the tooth number and the like of the gear. And receiving the backlash data of the sun gear, the planet gear and the inner gear output by the circumferential backlash calculation module.
And then inputting the received data into a planetary gear return difference analysis model for calculation, wherein a planetary gear return difference calculation function is arranged in the planetary gear return difference analysis model, and various parameters and backlash data can be synthesized to obtain a return difference index. And obtaining a gear return difference index through calculation of a planetary gear return difference analysis model.
A gear machining parameter acquisition module 14, wherein the gear machining parameter acquisition module 14 acquires a plurality of gear machining parameters of the planetary gear reduction device, and the plurality of gear machining parameters comprise gear geometric process parameters, cutting process parameters and tooth surface treatment process parameters;
In an embodiment of the present application, the gear processing parameter acquisition module acquires a plurality of gear processing parameters of the planetary gear reduction device from the history database. The gear processing parameters comprise gear geometric process parameters, cutting process parameters and tooth surface treatment process parameters. Wherein the geometric technological parameters of the gear comprise modulus, tooth number, tooth top height, tooth root height and the like. The cutting process parameters include cutting speed, cutting depth, feed speed, etc. The tooth surface treatment process parameters comprise a heat treatment mode, surface roughness and the like.
The optimized gear machining parameter obtaining module 15, when the gear return difference index is greater than a preset return difference index, the optimized gear machining parameter obtaining module 15 performs parameter optimization on the plurality of gear machining parameters based on a Monte Carlo method by taking the preset return difference index as an optimization target to obtain a plurality of optimized gear machining parameters;
in the embodiment of the application, the preset return difference index is a specific index set by a professional according to the performance requirement and the design standard of the planetary gear speed reducer.
When the gear return difference index is larger than the preset return difference index, the gear return difference index is reduced to be used as an optimization target, and the Monte Carlo method is adopted as an optimization method, so that the gear return difference index reaches the preset return difference index.
In the optimization process using the Monte Carlo method, the value ranges of a plurality of gear processing parameters are set according to the actual condition of gear processing and the capability of a processor. At the same time, the iteration number of the Monte Carlo method, i.e. the number of random sampling and evaluation, is determined. Within the set parameter ranges, a set of gear machining parameter combinations is randomly generated using the Monte Carlo method. These parameters include geometric process parameters of the gear, cutting process parameters, and tooth surface treatment process parameters. And calculating the gear return difference index of each group of randomly generated gear processing parameters. And comparing the calculation result with a preset return difference index, and judging whether the calculation result meets an optimization target or not.
And if the optimization target is not met, adjusting the parameter range or the sampling strategy, and repeating the steps to perform iterative optimization. Through multiple iterations, a parameter combination capable of enabling the gear return difference index to reach a preset target is gradually found.
When a gear machining parameter combination meeting the optimization target is found, the parameters are output as optimized gear machining parameters.
A gear machining module 16, the gear machining module 16 performing gear machining of the planetary gear reduction device with the plurality of optimized gear machining parameters.
In the embodiment of the application, the gear processing module receives the optimized gear processing parameters provided by the optimized gear processing parameter obtaining module, and performs necessary preparation before processing according to the received optimized gear processing parameters, including selecting a proper cutting tool, setting parameters of a processing machine tool, and the like.
And then carrying out actual gear machining according to the optimized gear machining parameters. The gear machining process comprises the technological processes of cutting, grinding, heat treatment and the like of the gear.
Further, the tooth thickness thinning information comprises cutting tooth radial feed error data, tooth thickness deviation data, common normal average length deviation data and measuring column measuring distance deviation data.
In the embodiment of the application, the tooth thickness thinning information comprises cutting tooth radial feed error data, tooth thickness deviation data, common normal average length deviation data and measuring column measuring distance deviation data.
In the tooth cutting process, the radial feed of the tool is a critical parameter. The cutting tooth radial feed tolerance table describes the allowable range of distances between the workpiece and the tool during cutting tooth machining, including maximum tolerance, minimum tolerance, and tolerance bands.
The tooth thickness deviation refers to the difference between the actual tooth thickness of the gear and the theoretical value on a certain circumference. The large tooth thickness deviation can influence the transmission error and the tooth surface load of the gear, thereby influencing the normal operation of the gear transmission.
The common normal average length deviation is used to measure the degree of matching of common elements in the gear manufacturing process. The smaller this deviation value, the higher the matching degree of the data, the better the quality of the gear.
The measuring distance of the measuring column is a common tooth thickness indirect measuring item. The deviation of the measuring distance of the measuring column reflects the difference between the actual measured value and the theoretical value,
Further, the gear backlash indicator obtaining module 13 is further configured to:
Acquiring reference circle radius data and tooth number data of the sun gear and the planet gear based on the basic structure information;
Based on the backlash data of the sun gear, the planet gears and the internal gear, circumferential backlash data of a sun-planet pair and circumferential backlash data of an internal tooth-planet pair are obtained;
Substituting the reference circle radius data, the tooth number data and the circumferential backlash data into the planetary gear return difference calculation function to obtain the gear return difference index;
the formula of the planet gear return difference calculation function is as follows:
；
；
Wherein B represents the return difference index of the planetary gear on the output shaft, Representing the transmission ratio of the sun gear driving and the planet carrier driven when the inner gear ring is fixed; characterizing the return difference coefficient of the planet gears on the sun gear, Characterizing the circumferential backlash of the sun-planet pair,Characterizing the circumferential backlash of the internal tooth-planetary pair,、The indexing radii of the sun wheel and the planet wheel are respectively represented,、Respectively representing the tooth numbers of the sun gear and the planet gear,Is the return difference coefficient.
In the embodiment of the application, the pitch radius data and the tooth number data of the sun gear and the planet gear are firstly extracted from the basic structure information.
To obtain the circumferential backlash data of the sun-planetary pair and the circumferential backlash data of the internal tooth-planetary pair, first, the normal backlash data of the sun-planetary pair and the internal tooth-planetary pair are obtained. And multiplying the normal backlash by the tangent value of the gear pressure angle to obtain circumferential backlash data of the sun-planet pair and circumferential backlash data of the internal tooth-planet pair.
And finally substituting the reference circle radius data, the tooth number data and the circumferential backlash data into a planetary gear return difference calculation function to calculate so as to obtain a gear return difference index. The return difference coefficient in the planetary return difference calculation function is a predetermined value.
Further, the optimized gear processing parameter obtaining module 15 is further configured to:
Acquiring the geometric technological parameters of the gear, the cutting machining technological parameters and the parameter range of the tooth surface treatment technological parameters, and establishing a technological parameter optimizing space;
randomly extracting a first process parameter combination in the process parameter optimizing space;
Adopting the first technological parameter combination to perform machining simulation and operation simulation in a gear simulation model to generate a first machining simulation result;
Performing fitness calculation on the first machining simulation result based on a parameter optimization function to obtain first parameter optimization fitness;
outputting the first process parameter combination as the plurality of optimized gear processing parameters if the first parameter optimization fitness meets a preset fitness threshold;
And if the first parameter optimization fitness does not meet a preset fitness threshold, continuing iterative optimization until convergence.
In the embodiment of the application, parameter ranges of gear geometric process parameters, cutting process parameters and tooth surface treatment process parameters are obtained from a gear production manual, and the parameter ranges are standards which are required to be met in gear production. And combining the value ranges of all the parameters to form a multi-dimensional process parameter optimizing space.
In the process parameter optimizing space, a group of parameter combinations are randomly selected as a first process parameter combination, so that the problem of sinking into a local optimal solution is avoided.
The randomly selected process parameter combinations are input into the simulation model using specialized gear machining and running simulation software. The simulation software simulates the machining process and the running performance of the gear according to the parameters, and generates a corresponding first machining simulation result.
To evaluate the quality of the simulation results, a parameter optimization function is defined. Substituting the simulation result into the parameter optimization function to obtain the first parameter optimization fitness.
And if the first parameter optimization fitness meets a preset fitness threshold value, combining the first process parameters to serve as optimized gear processing parameters. Wherein the preset fitness threshold is a threshold preset by a technician based on historical experience and performance requirements.
If the fitness is not satisfactory, then the first process parameter combination selected at random before is deleted from the process parameter optimizing space, and a new set of process parameter combinations is selected. Then, simulation and fitness calculation are performed through the same steps. This process is repeated until a combination of process parameters is found that meets the fitness threshold.
Further, the optimized gear processing parameter obtaining module 15 is further configured to:
Adopting the first technological parameter combination to perform machining simulation in a gear machining simulation model of a gear simulation model, generating a first simulation finished product, and recording and obtaining first production cost;
Performing return difference calculation on the first simulation finished product to obtain a first return difference index;
synchronizing the first simulation finished product into a gear operation simulation model of the gear simulation model to perform operation simulation, and recording to obtain a first simulation operation temperature;
Integrating the first production cost, the first return difference index and the first simulation running temperature to obtain the first processing simulation result.
In an embodiment of the present application, a first combination of process parameters is first selected that was previously randomly extracted. The first combination of process parameters includes gear geometry, material selection, cutting speed, feed rate, etc. These parameters are used to perform virtual machining in a gear machining simulation model, simulating gear manufacturing in an actual production process. After the simulation processing is completed, a virtual gear finished product, namely a first simulation finished product, is generated. Meanwhile, the system records and calculates the production cost in the virtual machining process, wherein the production cost comprises material cost, equipment depreciation, energy consumption, labor cost and the like, and the production cost is collectively called as first production cost.
And calculating a first return difference index of the first simulation finished product by the same method as the return difference calculation method in the previous step.
In order to further evaluate the performance of the gear, the first simulation finished product is led into a gear operation simulation model to simulate the operation state of the gear in the actual working environment, and the working temperature of the gear is monitored and recorded in the simulation operation process, and the temperature value is used as the first simulation operation temperature.
Finally, when integrating the three key indexes of the first production cost, the first return difference index and the first simulated running temperature, firstly scaling the data to a specified range by a minimum-maximum normalization method, and integrating the normalized production cost, the return difference index and the running temperature together to form a comprehensive evaluation index or score. And finally, combining the three normalized key indexes to generate a first processing simulation result.
Further, based on the parameter optimization function, performing fitness calculation on the first processing simulation result to obtain a first parameter optimization fitness, and further including:
Constructing the parameter optimization function, wherein the formula is as follows;
；
Wherein, The degree of adaptation is optimized for the parameters,、、Respectively a first weight, a second weight and a third weight、、The sum of (2) is 1,In order for the return difference to affect the coefficient,In order to be an index of the return difference,In order to preset the return difference index,In order to achieve the production cost, the production process is simple,Is the operating temperature;
And inputting the first production cost, the first return difference index and the first simulation running temperature into the parameter optimization function, and calculating to obtain the first parameter optimization fitness.
In an embodiment of the application, wherein、、The values of (2) are set by the skilled person on demand.
And inputting the first production cost, the first return difference index and the first simulation running temperature into a parameter optimization function, and obtaining the first parameter optimization fitness through calculation.
Further, continuing the iterative optimization, including:
Acquiring a preset optimization step length and a preset optimization direction for parameter optimization;
performing correction calculation on the preset optimization step length and the preset optimization direction based on the first parameter optimization fitness to obtain a correction optimization step length and a correction optimization direction;
And carrying out iterative optimization by adopting the correction optimization step length and the correction optimization direction.
In the embodiment of the application, the preset optimizing step length and the preset optimizing direction for parameter optimization are set in advance by technical experts based on the characteristics and past experience of the problem. The preset optimization step length is the amplitude of each parameter adjustment. The preset optimization direction is the trend of parameter increase or decrease.
Comparing the first parameter optimization fitness with the previous fitness value, if the current configuration is more optimal, maintaining or increasing the optimization step length, and maintaining the optimization direction. If the current configuration is not improved or degraded, automatically adjusting the optimization step length and the optimization direction through algorithms such as a gradient descent method and a genetic algorithm to obtain a correction optimization step length and a correction optimization direction.
Updating the parameter values by using the correction optimization step length and the correction optimization direction, performing a new round of simulation, and repeating the steps of evaluation, correction and iteration until the optimal parameter configuration meeting the requirements is found.
Further, the system further comprises:
Monitoring the operation environment of the planetary gear speed reduction device based on a preset environment monitoring scheme to obtain operation environment information;
and correcting the gear return difference index according to the running environment information to obtain a corrected return difference index.
In an embodiment of the application, the predetermined environmental monitoring scheme includes the monitored parameters, frequencies, devices used and methods. During detection, corresponding sensors and equipment are installed near the planetary gear speed reducer, and running environment data are collected in real time. And continuously collecting environmental data through the sensor, cleaning, sorting and analyzing the collected raw data, and extracting operation environmental information. The operating environment information includes temperature, humidity, vibration, etc.
And then analyzing the historical data of the gear operation to determine how environmental factors such as temperature, humidity, vibration and the like affect the return difference of the gear. For example, high temperatures cause thermal expansion of the gear material, which in turn affects gear lash and backlash. The gear operation history data are obtained from a gear operation database, and the gear operation database stores all parameters of the gear in the operation process.
And selecting a proper mathematical model according to analysis results to construct a correction model, for example, selecting a multiple linear regression model containing variables such as temperature, humidity and vibration. A set of training sets is selected from the gear operation database, the training sets comprise operation environment data and corresponding gear return difference data, the model is trained, and parameters of the model are adjusted through a gradient descent method to minimize prediction errors. A correction model is obtained through training.
And finally, inputting the collected operation environment information into a correction model to obtain a correction return difference index.
In summary, the embodiment of the present application has at least the following technical effects:
the method comprises the steps of obtaining basic information of a planetary gear speed reduction device, wherein the basic information comprises basic structure information and tooth thickness thinning information; performing circumferential backlash calculation based on tooth thickness thinning information to obtain backlash data of a sun gear, a planet gear and an internal gear; inputting the backlash data of the sun gear, the planet gears and the internal gear into a planet gear return difference analysis model by combining the basic structure information, and outputting a gear return difference index, wherein the planet gear return difference analysis model comprises a planet gear return difference calculation function; acquiring a plurality of gear machining parameters of a planetary gear reduction device, wherein the plurality of gear machining parameters comprise gear geometric technological parameters, cutting machining technological parameters and tooth surface treatment technological parameters; when the gear return difference index is larger than the preset return difference index, taking the preset return difference index as an optimization target, and carrying out parameter optimization on a plurality of gear processing parameters based on a Monte Carlo method to obtain a plurality of optimized gear processing parameters; the gear machining of the planetary gear reduction unit is performed with a plurality of optimized gear machining parameters. The application solves the technical problem of transmission precision reduction caused by the influence of gear clearance in the manufacturing process of the planetary gear speed reducer in the prior art, and achieves the technical effect of improving the transmission precision of gears by optimizing gear processing parameters and reducing gear return difference.
It should be noted that the sequence of the embodiments of the present application is only for description, and does not represent the advantages and disadvantages of the embodiments. And the foregoing description has been directed to specific embodiments of this specification. The processes depicted in the accompanying drawings do not necessarily require the particular order shown, nor the sequential order, to achieve desirable results. In some embodiments, multitasking and parallel processing are also possible or may be advantageous.
The foregoing description of the preferred embodiments of the application is not intended to limit the application to the precise form disclosed, and any such modifications, equivalents, and alternatives falling within the spirit and scope of the application are intended to be included within the scope of the application.
The specification and figures are merely exemplary illustrations of the present application and are considered to cover any and all modifications, variations, combinations, or equivalents that fall within the scope of the application. It will be apparent to those skilled in the art that various modifications and variations can be made to the present application without departing from the scope of the application. Thus, the present application is intended to include such modifications and alterations insofar as they come within the scope of the application or the equivalents thereof.
Claims (8)
1. A transmission accuracy enhancement system of a planetary gear reduction device, comprising:
The planetary gear speed reducer basic information acquisition module acquires basic information of a planetary gear speed reducer, wherein the basic information comprises basic structure information and tooth thickness thinning information;
the circumferential backlash calculation module is used for carrying out circumferential backlash calculation based on the tooth thickness thinning information to obtain backlash data of the sun gear, the planet gear and the internal gear;
The gear return difference index acquisition module is used for inputting the backlash data of the sun gear, the planet gears and the internal gear into a planet gear return difference analysis model by combining the basic structure information and outputting a gear return difference index, wherein the planet gear return difference analysis model comprises a planet gear return difference calculation function;
The gear machining parameter acquisition module acquires a plurality of gear machining parameters of the planetary gear reduction device, wherein the plurality of gear machining parameters comprise gear geometric process parameters, cutting process parameters and tooth surface treatment process parameters;
The optimized gear machining parameter acquisition module is used for carrying out parameter optimization on the plurality of gear machining parameters based on a Monte Carlo method by taking the preset return difference index as an optimization target when the gear return difference index is larger than the preset return difference index so as to obtain a plurality of optimized gear machining parameters;
And the gear machining module is used for machining gears of the planetary gear speed reducer according to the optimized gear machining parameters.
2. The system of claim 1, wherein the tooth thickness reduction information includes cutting tooth radial feed error data, tooth thickness deviation data, common normal average length deviation data, gauge offset data.
3. The system of claim 1, wherein, in conjunction with the infrastructure information, inputting backlash data for the sun, planet, and annulus into a planet backlash analysis model, outputting a gear backlash indicator, comprising:
Acquiring reference circle radius data and tooth number data of the sun gear and the planet gear based on the basic structure information;
Based on the backlash data of the sun gear, the planet gears and the internal gear, circumferential backlash data of a sun-planet pair and circumferential backlash data of an internal tooth-planet pair are obtained;
Substituting the reference circle radius data, the tooth number data and the circumferential backlash data into the planetary gear return difference calculation function to obtain the gear return difference index;
the formula of the planet gear return difference calculation function is as follows:
；
；
Wherein B represents the return difference index of the planetary gear on the output shaft, Representing the transmission ratio of the sun gear driving and the planet carrier driven when the inner gear ring is fixed; characterizing the return difference coefficient of the planet gears on the sun gear, Characterizing the circumferential backlash of the sun-planet pair,Characterizing the circumferential backlash of the internal tooth-planetary pair,、The indexing radii of the sun wheel and the planet wheel are respectively represented,、Respectively representing the tooth numbers of the sun gear and the planet gear,Is the return difference coefficient.
4. The system of claim 1, wherein parameter optimization is performed on the plurality of gear machining parameters based on a monte carlo method with the preset return difference indicator as an optimization target to obtain a plurality of optimized gear machining parameters, comprising:
Acquiring the geometric technological parameters of the gear, the cutting machining technological parameters and the parameter range of the tooth surface treatment technological parameters, and establishing a technological parameter optimizing space;
randomly extracting a first process parameter combination in the process parameter optimizing space;
Adopting the first technological parameter combination to perform machining simulation and operation simulation in a gear simulation model to generate a first machining simulation result;
Performing fitness calculation on the first machining simulation result based on a parameter optimization function to obtain first parameter optimization fitness;
outputting the first process parameter combination as the plurality of optimized gear processing parameters if the first parameter optimization fitness meets a preset fitness threshold;
And if the first parameter optimization fitness does not meet a preset fitness threshold, continuing iterative optimization until convergence.
5. The system of claim 4, wherein performing a machining simulation and a run simulation in a gear simulation model using the first combination of process parameters to generate a first machining simulation result comprises:
Adopting the first technological parameter combination to perform machining simulation in a gear machining simulation model of a gear simulation model, generating a first simulation finished product, and recording and obtaining first production cost;
Performing return difference calculation on the first simulation finished product to obtain a first return difference index;
synchronizing the first simulation finished product into a gear operation simulation model of the gear simulation model to perform operation simulation, and recording to obtain a first simulation operation temperature;
Integrating the first production cost, the first return difference index and the first simulation running temperature to obtain the first processing simulation result.
6. The system of claim 5, wherein performing fitness calculations on the first machining simulation result based on a parameter optimization function to obtain a first parameter optimization fitness comprises:
Constructing the parameter optimization function, wherein the formula is as follows;
；
Wherein, The degree of adaptation is optimized for the parameters,、、Respectively a first weight, a second weight and a third weight、、The sum of (2) is 1,In order for the return difference to affect the coefficient,In order to be an index of the return difference,In order to preset the return difference index,In order to achieve the production cost, the production process is simple,Is the operating temperature;
And inputting the first production cost, the first return difference index and the first simulation running temperature into the parameter optimization function, and calculating to obtain the first parameter optimization fitness.
7. The system of claim 4, wherein continuing the iterative optimization comprises:
Acquiring a preset optimization step length and a preset optimization direction for parameter optimization;
performing correction calculation on the preset optimization step length and the preset optimization direction based on the first parameter optimization fitness to obtain a correction optimization step length and a correction optimization direction;
And carrying out iterative optimization by adopting the correction optimization step length and the correction optimization direction.
8. The system as recited in claim 1, further comprising:
Monitoring the operation environment of the planetary gear speed reduction device based on a preset environment monitoring scheme to obtain operation environment information;
and correcting the gear return difference index according to the running environment information to obtain a corrected return difference index.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202410692610.6A CN118278134B (en) | 2024-05-31 | 2024-05-31 | Transmission precision enhancement system of planetary gear speed reducer |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202410692610.6A CN118278134B (en) | 2024-05-31 | 2024-05-31 | Transmission precision enhancement system of planetary gear speed reducer |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN118278134A true CN118278134A (en) | 2024-07-02 |
| CN118278134B CN118278134B (en) | 2024-09-27 |
Family
ID=91645345
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202410692610.6A Active CN118278134B (en) | 2024-05-31 | 2024-05-31 | Transmission precision enhancement system of planetary gear speed reducer |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN118278134B (en) |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105893710A (en) * | 2016-05-09 | 2016-08-24 | 西北工业大学 | Method for calculating geometric return difference of NGWN planetary gear train |
| AU2021105779A4 (en) * | 2021-08-18 | 2021-10-21 | Fuzhou University | Planetary Gearbox Fault Diagnosis Method Using Parameter Optimized VMD and Multi-domain Manifold Learning |
| CN114756986A (en) * | 2022-04-02 | 2022-07-15 | 重庆大学 | Design parameter optimization method for flexible pin shaft type wind power gear box transmission system |
| CN115081132A (en) * | 2022-06-15 | 2022-09-20 | 北京航空航天大学 | Multilevel influence factor coupling analysis method for return difference of gear device |
| WO2023020628A1 (en) * | 2022-06-10 | 2023-02-23 | 山东科技大学 | Speed-reducer operating condition and structure parameter optimization method based on transmission efficiency |
-
2024
- 2024-05-31 CN CN202410692610.6A patent/CN118278134B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105893710A (en) * | 2016-05-09 | 2016-08-24 | 西北工业大学 | Method for calculating geometric return difference of NGWN planetary gear train |
| AU2021105779A4 (en) * | 2021-08-18 | 2021-10-21 | Fuzhou University | Planetary Gearbox Fault Diagnosis Method Using Parameter Optimized VMD and Multi-domain Manifold Learning |
| CN114756986A (en) * | 2022-04-02 | 2022-07-15 | 重庆大学 | Design parameter optimization method for flexible pin shaft type wind power gear box transmission system |
| WO2023020628A1 (en) * | 2022-06-10 | 2023-02-23 | 山东科技大学 | Speed-reducer operating condition and structure parameter optimization method based on transmission efficiency |
| CN115081132A (en) * | 2022-06-15 | 2022-09-20 | 北京航空航天大学 | Multilevel influence factor coupling analysis method for return difference of gear device |
Non-Patent Citations (4)
| Title |
|---|
| CHU ZHANG 等: "Tolerance synthesis for lost motion requirement of planetary gear train based on a mechanism model", MECHANISM AND MACHINE THEORY, 13 June 2021 (2021-06-13) * |
| 刘江 等: "基于Monte Carlo行星齿轮减速器可靠性优化设计", 机械, no. 11, 25 November 2011 (2011-11-25) * |
| 张云波 等: "双输入行星减速器的回差分析", 机械传动, no. 01, 15 January 2016 (2016-01-15) * |
| 程义: "精密行星减速器的回差分析与公差设计", 中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑, 15 January 2022 (2022-01-15) * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN118278134B (en) | 2024-09-27 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Fan et al. | Higher-order tooth flank form error correction for face-milled spiral bevel and hypoid gears | |
| EP3354936A1 (en) | Gearsets | |
| Tiwari et al. | Stress analysis of mating involute spur gear teeth | |
| Gabiccini et al. | Robust optimization of the loaded contact pattern in hypoid gears with uncertain misalignments | |
| CN106842922B (en) | Numerical control machining error optimization method | |
| Teixeira Alves et al. | Designing and manufacturing spiral bevel gears using 5-axis computer numerical control (CNC) milling machines | |
| JP2004086773A (en) | Method, program and device for simulating working of gear | |
| CN109408857B (en) | Intelligent parameter driving modular design method for shape cooperative manufacturing of spiral bevel gear | |
| CN118278134B (en) | Transmission precision enhancement system of planetary gear speed reducer | |
| Li et al. | Multi-objective variable parameter optimization algorithm for spiral bevel gear tooth surface considering meshing efficiency and contact performance | |
| Guo et al. | Analytical solution to contact characteristics for a variable hyperbolic circular-arc-tooth-trace cylindrical gear | |
| Boral et al. | Technological Aspects of Manufacturing and Control of Gears | |
| CN112836297B (en) | Alloy casting size accurate regulation and control method based on integrated calculation and tolerance design | |
| Zbiciak et al. | An automation of design and modelling tasks in NX Siemens environment with original software-generator module | |
| CN109492307A (en) | A kind of numerical computation method of Spiral Bevel Gears load contact performance parameter | |
| CN110045685B (en) | Method for checking working precision of gear machine tool | |
| Niu et al. | Geometrical design of variable ratio tooth profile based on Boolean subtraction operation and a novel modification method | |
| Pisula et al. | Methodology of designing the geometry of the bevel gear using numerical simulation to generate the teeth flank surfaces | |
| JP2003048124A (en) | Manufacturing method for die or electrical discharge machining electrode | |
| Dorofeev et al. | Designing gears with minimal effective transmission error by optimizing the parameters of tooth modification | |
| CN113722862A (en) | Small-modulus involute spline accurate modeling method | |
| Yesilyurt et al. | Modeling and experimental verification of cutting forces in gear tooth cutting | |
| Aziz et al. | Knowledge-based geometry generation for spur and helical gears | |
| Song et al. | Influences of circular runout errors and processing parameters for slotting on the accuracy of harmonic reducer | |
| CN110188475B (en) | Flexible gear measuring and evaluating method based on rigid gear parameters in working state |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |