CN113435001A - Method for predicting meshing temperature field of plastic gear - Google Patents

Method for predicting meshing temperature field of plastic gear Download PDF

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CN113435001A
CN113435001A CN202110504127.7A CN202110504127A CN113435001A CN 113435001 A CN113435001 A CN 113435001A CN 202110504127 A CN202110504127 A CN 202110504127A CN 113435001 A CN113435001 A CN 113435001A
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meshing
plastic gear
temperature field
heat
predicting
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CN113435001B (en
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李开星
徐戊矫
童静
刘承尚
刘旻瑶
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Chongqing University
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/08—Thermal analysis or thermal optimisation
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract

The invention provides a method for predicting a meshing temperature field of a plastic gear. The method comprises the following steps of simulation analysis of a plastic gear meshing heat production process, simulation analysis of a plastic gear meshing heat flow propagation process, obtaining heat production power on a contact tooth surface node after iterative updating, obtaining heat production power density of each unit and the like. The method can intuitively predict the meshing temperature field distribution result of the plastic gear, thereby avoiding high equipment and time cost generated by practical product experiments and shortening the development period of plastic gear products.

Description

Method for predicting meshing temperature field of plastic gear
Technical Field
The invention relates to the technical field of computer simulation, in particular to a method for predicting a plastic gear meshing temperature field.
Background
Gear transmission is the most widely used transmission mode in mechanical transmission. With the development of new materials, the materials for manufacturing gears are no longer limited to metal materials. The plastic gear has the advantages of low noise, light weight, easy maintenance, self-lubrication and the like. In recent years, plastic gears have been widely used in practical economic life.
However, when the plastic is used as a power bearing element, not only friction heat generation but also viscoelasticity hysteresis energy consumption heat generation exist, and the mechanical property has strong temperature dependence. The heat flow generated during the meshing contact process causes the temperature of the plastic gear teeth to increase continuously, and particularly, the local temperature of the tooth surface contact area is increased sharply due to the low heat conduction capacity of the plastic, so that the bearing capacity of the gear teeth is seriously insufficient, the gear teeth are abraded rapidly, and even the gear teeth are locally softened.
Therefore, it is necessary to develop a method for predicting the meshing temperature field of the plastic gear more accurately.
Disclosure of Invention
The invention aims to provide a method for predicting a meshing temperature field of a plastic gear, which aims to solve the problems in the prior art.
The technical scheme adopted for achieving the aim of the invention is that the method for predicting the meshing temperature field of the plastic gear comprises the following steps:
1) and (3) performing simulation analysis on the heat generation process of the meshing of the plastic gear, and calculating the heat generation power on the contact tooth surface node and the heat generation power density of each grid unit.
2) And (2) taking the heat generation power of the contact tooth surface node and the unit heat generation power density obtained by the calculation in the step 1) as heat source parameters, carrying out simulation analysis on the heat flow transmission process of plastic gear meshing, and calculating to obtain a three-dimensional temperature field of the plastic gear in a certain meshing period.
3) And (3) taking the three-dimensional temperature field obtained in the step 2) as an initial temperature condition after iterative updating, and repeating the steps 1) to 2) until the set meshing period number is reached. And obtaining a final meshing temperature field analysis result.
Further, the step 1) specifically comprises the following steps:
1.1) carrying out meshing on the three-dimensional model of the plastic gear.
1.2) inputting material performance parameters of the plastic. Wherein the material performance parameters include modulus of elasticity, Poisson's ratio, Prony's order, thermal conductivity, coefficient of thermal expansion, and specific heat capacity.
1.3) inputting tooth surface contact property parameters. Wherein the tooth surface contact attribute parameters comprise a friction coefficient, a contact heat transfer coefficient and a friction heat distribution coefficient.
1.4) analyzing the meshing process of the plastic gear according to the actual meshing working condition. Based on the analysis results, the heat generation power on the contact tooth surface node and the heat generation power density of each cell are calculated. Wherein the heat generation power at the contact tooth surface node is calculated by equation (1). The heat generation power density of each grid cell is calculated by equation (2).
qf，n＝Qf，n/t (1)
In the formula, qf，nThe heat generating power of the contact tooth surface node. Qf，nIs the frictional heat accumulated on the contact tooth flank node in one meshing cycle. t is the length of time each tooth participates in engagement in each engagement cycle.
qh，en＝ξ/t (2)
In the formula, qh，enThe heat generating power density in one meshing cycle for each grid cell. ξ is the accumulated viscoelastic hysteresis loss heat density per mesh cell during each engagement cycle.
Further, in the step 1.1), the plastic gear three-dimensional model is subjected to meshing and then is introduced into simulation software or is directly subjected to meshing in the three-dimensional simulation model.
Further, in step 1.4), a python script is written to calculate the heat generation power on the contact tooth surface node and the heat generation power density of each cell. Qf，nAnd t is extracted from the analysis result of the meshing process of the plastic gear.
Further, in step 1.4), the strain history of each grid cell in one meshing cycle is extracted from the analysis results. Fourier transform was performed to obtain a series of sinusoidal strain curves. Xi is calculated by taking the amplitude of each sinusoidal strain on each grid cell into equation (3).
Figure BDA0003057644530000021
Wherein, | E*And | is the total modulus of the plastic under the condition of specific temperature and strain rate. δ is the viscoelastic loss angle of the plastic at a particular temperature and strain rate. n is the number of sinusoidal partial strains. f. ofiThe frequency of the ith sinusoidal strain component. EpsiloniIs the amplitude of the ith sinusoidal strain component. T is the period.
Further, the step 2) also comprises a related step of endowing the material property parameters and the convective heat transfer coefficient to the grid model.
The invention also discloses a computer readable storage medium storing a computer program for implementing any one of the above methods for predicting a plastic gear meshing temperature field.
The invention also discloses a computer program stored in a computer readable storage medium. When executed by a processor, the method for predicting the meshing temperature field of the plastic gear is realized.
The invention also discloses a computer readable medium storing a sequence of instructions, comprising instructions which when executed by a processor implement any of the above methods for predicting a plastic gear mesh temperature field.
The invention also discloses a system for predicting the meshing temperature field of the plastic gear, which comprises a processor, an input unit, an output unit and a storage unit. The input unit may receive information from an external material database. The output unit may reflect information of the external representation. The memory unit is for storing simulation software, a sequence of instructions for generating operational data for execution by the processor for implementing any of the methods described above, and data during operation of the plastic gear mesh temperature field prediction system.
The technical effects of the invention are undoubted:
A. the method has the advantages that the meshing temperature field evolution of the plastic gear in a plurality of meshing periods can be accurately obtained by respectively calculating and analyzing the heat generation and heat transfer processes of the plastic gear in the meshing process and combining an iterative analysis strategy;
B. the temperature field distribution of the plastic gear in the actual meshing process can be intuitively obtained, high equipment and time cost caused by actual product experiments can be avoided, and the development period of the plastic gear product is shortened.
Drawings
FIG. 1 is a flow chart of a simulation analysis method;
FIG. 2 is a three-dimensional simulation model diagram of a plastic gear;
FIG. 3 is a schematic diagram of a three-dimensional temperature field of a plastic gear;
FIG. 4 is a comparison graph of meshing temperature field analysis results before and after iteration occurs.
Detailed Description
The present invention is further illustrated by the following examples, but it should not be construed that the scope of the above-described subject matter is limited to the following examples. Various substitutions and alterations can be made without departing from the technical idea of the invention and the scope of the invention is covered by the present invention according to the common technical knowledge and the conventional means in the field.
Example 1:
referring to fig. 2, the plastic gear used in the present embodiment is a composite plastic gear composed of a plastic gear ring and a metal inner ring. The meshing object of the plastic gear is a metal worm.
Referring to fig. 1, the present embodiment discloses a method for predicting a plastic gear meshing temperature field, comprising the following steps:
1) simulation analysis of the plastic gear meshing heat production process:
1.1) carrying out meshing on the three-dimensional model of the plastic gear, and then introducing the three-dimensional model of the plastic gear into simulation software ABAQUS or directly carrying out meshing on the three-dimensional model of the plastic gear in the three-dimensional simulation model ABAQUS.
1.2) the material property parameters of the plastic were entered into the analysis software ABAQUS. The material performance parameters include modulus of elasticity, Poisson's ratio, Prony's order, thermal conductivity, coefficient of thermal expansion, and specific heat capacity.
1.3) inputting the tooth surface contact property parameters into the analysis software ABAQUS. The tooth surface contact attribute parameters comprise a friction coefficient, a contact heat exchange coefficient and a friction heat distribution coefficient.
1.4) analyzing the meshing process of the plastic gear according to the actual meshing working condition. Based on the analysis results, a python script is written to calculate the heat generation power on the contact tooth surface node and the heat generation power density of each cell. Wherein the heat generation power at the contact tooth surface node is calculated by equation (1). The heat generation power density of each grid cell is calculated by equation (2).
qf，n＝Qf，n/t (1)
In the formula, qf，nThe heat generating power of the contact tooth surface node. Qf，nIs the frictional heat accumulated on the contact tooth flank node in one meshing cycle. t is the length of time each tooth participates in engagement in each engagement cycle. Qf，nAnd t is extracted from the analysis result of the meshing process of the plastic gear.
qh，en＝ξ/t (2)
In the formula, qh，enThe heat generating power density in one meshing cycle for each grid cell. ξ is the accumulated viscoelastic hysteresis loss heat density per mesh cell during each engagement cycle.
The strain history of each grid cell in one meshing cycle is extracted from the analysis results. Fourier transform was performed to obtain a series of sinusoidal strain curves. Xi is calculated by taking the amplitude of each sinusoidal strain on each grid cell into equation (3).
Figure BDA0003057644530000041
Wherein, | E*And | is the total modulus of the plastic under the condition of specific temperature and strain rate. δ is the viscoelastic loss angle of the plastic at a particular temperature and strain rate. n is the number of sinusoidal partial strains. f. ofiThe frequency of the ith sinusoidal strain component. EpsiloniIs the amplitude of the ith sinusoidal strain component. T is the period.
2) Simulation analysis of the plastic gear meshing heat flow propagation process:
2.1) inputting the contact surface node heat generation power and the unit heat generation power density calculated in the step 1) into the same grid model as the grid model in the step 1) as heat source parameters. In this embodiment, the process can be implemented quickly in batch by writing python scripts.
2.2) endowing the material property parameters and the convection heat transfer coefficient which are the same as those in the step 1) to a grid model, and obtaining a three-dimensional temperature field of the plastic gear in a certain meshing period through analysis and calculation as shown in figure 3.
3) Repeating the step 1) and the step 2) based on a certain iteration rule:
3.1) step 1) is performed again. Before the analysis is started, the three-dimensional temperature field of the plastic gear obtained by the analysis in the previous step 2) is given to the model in the step 1) of the current time, and the heat generation power on the contact tooth surface node and the heat generation power density of each unit after the iterative update are obtained through analysis as the initial temperature condition after the iterative update.
3.2) step 2) is performed again. Before the analysis is started, the three-dimensional temperature field of the plastic gear obtained by the analysis in the previous step 2) is given to the model in the step 2) at the current time, and the three-dimensional temperature field of the plastic gear in a certain meshing period is obtained through analysis and calculation.
3.3) if the number of meshing cycles required by the simulation analysis is reached, stopping the analysis and obtaining a final meshing temperature field analysis result. If the number of meshing cycles required for the simulation analysis has not been reached, repeating 3.1) and 3.2) until the end of analysis condition is reached. Before and after iteration, a comparison graph of meshing temperature field analysis results is shown in FIG. 4.
It is worth noting that in the present embodiment, step 3) further includes a correlation step of storing the time instance when the predicted temperature reaches or exceeds the temperature threshold and the position information. By analyzing the meshing temperature field evolution data of the plastic material product in a plurality of meshing periods, the meshing performance of the product in a continuous working state can be estimated, including contact fatigue life prediction, wear condition prediction, heat bearing capacity prediction and the like. Based on the prediction results, the design scheme of the product can be adjusted and optimized in time in the design stage, and the performance of the product is improved.
Example 2:
the embodiment discloses a method for predicting a meshing temperature field of a plastic gear, which comprises the following steps:
1) and (3) performing simulation analysis on the heat generation process of the meshing of the plastic gear, and calculating the heat generation power on the contact tooth surface node and the heat generation power density of each grid unit.
1.1) carrying out meshing on the three-dimensional model of the plastic gear, and then importing the three-dimensional model of the plastic gear into simulation software or directly carrying out meshing on the three-dimensional model of the plastic gear in the three-dimensional simulation model.
1.2) inputting material performance parameters of the plastic. Wherein the material performance parameters include modulus of elasticity, Poisson's ratio, Prony's order, thermal conductivity, coefficient of thermal expansion, and specific heat capacity.
1.3) inputting tooth surface contact property parameters. Wherein the tooth surface contact attribute parameters comprise a friction coefficient, a contact heat transfer coefficient and a friction heat distribution coefficient.
1.4) analyzing the meshing process of the plastic gear according to the actual meshing working condition. Based on the analysis results, the heat generation power on the contact tooth surface node and the heat generation power density of each cell are calculated. Wherein the heat generation power at the contact tooth surface node is calculated by equation (1). The heat generation power density of each grid cell is calculated by equation (2).
qf，n＝Qf，n/t (1)
In the formula, qf，nThe heat generating power of the contact tooth surface node. Qf，nIs the frictional heat accumulated on the contact tooth flank node in one meshing cycle. t is the length of time each tooth participates in engagement in each engagement cycle.
qh，en＝ξ/t (2)
In the formula, qh，enThe heat generating power density in one meshing cycle for each grid cell. ξ is the accumulated viscoelastic hysteresis loss heat density per mesh cell during each engagement cycle.
2) And (2) taking the heat generation power of the contact tooth surface node and the unit heat generation power density obtained by the calculation in the step 1) as heat source parameters, carrying out simulation analysis on the heat flow transmission process of plastic gear meshing, and calculating to obtain a three-dimensional temperature field of the plastic gear in a certain meshing period.
3) And (3) taking the three-dimensional temperature field obtained in the step 2) as an initial temperature condition after iterative updating, and repeating the steps 1) to 2) until the set meshing period number is reached. And obtaining a final meshing temperature field analysis result.
The embodiment can intuitively predict the meshing temperature field distribution result of the plastic gear, thereby avoiding high equipment and time cost generated by practical product experiments and shortening the development period of plastic gear products.
Example 3:
the main steps of the embodiment are the same as embodiment 2, wherein in step 1.4), a python script is written to calculate the heat generation power on the contact tooth surface node and the heat generation power density of each unit. Qf，nAnd t is extracted from the analysis result of the meshing process of the plastic gear.
Example 4:
the main steps of this example are the same as example 2, wherein, in step 1.4), the strain history of each grid cell in one meshing cycle is extracted from the analysis results. Fourier transform was performed to obtain a series of sinusoidal strain curves. Xi is calculated by taking the amplitude of each sinusoidal strain on each grid cell into equation (3).
Figure BDA0003057644530000071
Wherein, | E*And | is the total modulus of the plastic under the condition of specific temperature and strain rate. δ is the viscoelastic loss angle of the plastic at a particular temperature and strain rate. n is the number of sinusoidal partial strains. f. ofiThe frequency of the ith sinusoidal strain component. EpsiloniIs the amplitude of the ith sinusoidal strain component. T is the period.
Example 5:
this embodiment discloses a computer-readable storage medium storing a computer program for implementing the method for predicting the meshing temperature field of the plastic gear according to any one of embodiments 1 to 4.
Example 6:
the present embodiment discloses a computer program stored in a computer-readable storage medium. The processor can be used for realizing the method for predicting the meshing temperature field of the plastic gear in any one of the embodiments 1-4.
Example 7:
the embodiment discloses a computer readable medium for storing an instruction sequence, wherein the instruction sequence comprises instructions which are executed by a processor to realize the method for predicting the meshing temperature field of the plastic gear in any one of the embodiments 1-4.
Example 8:
the embodiment discloses a plastic gear meshing temperature field prediction system which comprises a processor, an input unit, an output unit and a storage unit. The input unit may receive information from an external material database. The output unit may reflect information of the external representation. The memory unit is used for storing simulation software, instruction sequences executed by a processor for generating operation data and data during operation of the plastic gear mesh temperature field prediction system for realizing the method of any one of embodiments 1-4.

Claims (10)

1. A method of predicting a plastic gear mesh temperature field, comprising the steps of:
1) simulating and analyzing a heat production process of plastic gear meshing, and calculating to obtain heat production power on a contact tooth surface node and heat production power density of each grid unit;
2) taking the heat generation power of the contact tooth surface node and the unit heat generation power density obtained by the calculation in the step 1) as heat source parameters, carrying out simulation analysis on the heat flow transmission process of plastic gear meshing, and calculating to obtain a three-dimensional temperature field of the plastic gear in a certain meshing period;
3) taking the three-dimensional temperature field obtained in the step 2) as an initial temperature condition after iterative updating, and repeating the steps 1) -2) until a set meshing period number is reached; and obtaining a final meshing temperature field analysis result.
2. The method for predicting the meshing temperature field of the plastic gear according to claim 1, wherein the step 1) comprises the following steps:
1.1) carrying out mesh division on a three-dimensional model of the plastic gear;
1.2) inputting material performance parameters of the plastic; wherein the material performance parameters include elastic modulus, Poisson's ratio, Prony order, thermal conductivity, coefficient of thermal expansion, and specific heat capacity;
1.3) inputting tooth surface contact attribute parameters; wherein the tooth surface contact attribute parameters comprise a friction coefficient, a contact heat exchange coefficient and a friction heat distribution coefficient;
1.4) analyzing the meshing process of the plastic gear according to the actual meshing working condition; calculating heat generation power on the contact tooth surface node and heat generation power density of each unit based on the analysis result; wherein the heat generation power on the contact tooth surface node is calculated by the formula (1); the heat generation power density of each grid unit is calculated by the formula (2);
qf，n＝Qf，n/t (1)
in the formula, qf，nHeat generating power for the contacting tooth surface nodes; qf，nIs the frictional heat accumulated on the contact tooth flank node in one meshing cycle; t is the length of time each tooth participates in engagement in each engagement cycle;
qh，en＝ξ/t (2)
in the formula, qh，enA heat generating power density in one meshing cycle for each grid cell; ξ is the accumulated viscoelastic hysteresis loss heat density per mesh cell during each engagement cycle.
3. The method of predicting the plastic gear meshing temperature field of claim 2, wherein: in the step 1.1), the plastic gear three-dimensional model is subjected to meshing and then introduced into simulation software or directly subjected to meshing in the three-dimensional simulation model.
4. The method of predicting the plastic gear meshing temperature field of claim 2, wherein: step 1.4), writing a python script to calculate the heat generation power on the contact tooth surface node and the heat generation power density of each unit; qf，nAnd t is extracted from the analysis result of the meshing process of the plastic gear.
5. The method of predicting the plastic gear meshing temperature field of claim 2, wherein: step 1.4), extracting the strain history of each grid unit in a meshing period from the analysis result; performing Fourier transform to obtain a series of sinusoidal strain curves; carrying the amplitude of each sinusoidal partial strain on each grid unit into formula (3) to calculate xi;
Figure FDA0003057644520000021
wherein, | E*I is the total modulus of the plastic under the condition of specific temperature and strain rate; 6 is the viscoelastic loss angle of the plastic under specific temperature and strain rate conditions; n is the number of sinusoidal component strains; f. ofiIs the frequency of the ith sinusoidal strain component; epsiloniIs the amplitude of the ith sinusoidal strain component; t is the period.
6. The method of predicting the plastic gear meshing temperature field of claim 1, wherein: the step 2) also comprises a related step of endowing the material property parameters and the convective heat transfer coefficient to the grid model.
7. A computer-readable storage medium characterized by: a computer program for implementing the method for predicting the meshing temperature field of the plastic gear according to any one of claims 1 to 6 is stored.
8. A computer program, characterized in that: stored in a computer readable storage medium; the method for predicting the meshing temperature field of the plastic gear is implemented by a processor when being executed.
9. A computer-readable medium storing a sequence of instructions characterized in that: the included instructions are executed by a processor to realize the method for predicting the meshing temperature field of the plastic gear according to any one of claims 1-6.
10. A plastic gear meshing temperature field prediction system is characterized in that: the device comprises a processor, an input unit, an output unit and a storage unit; the input unit may receive information from an external material database; the output unit may reflect information of external representation; the memory unit is used for storing simulation software, instruction sequences for generating operation data and data during operation of the plastic gear mesh temperature field prediction system, wherein the instruction sequences are executed by a processor and are used for realizing the method of any one of claims 1-6.
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