Method, System and Device for Vibration Suppression and Lightweight Realization of Gear Transmission System

Abstract

The present invention provides a method, system and device for realizing vibration suppression and lightweight of a gear transmission system. The method includes: constructing a vibration amplitude model based on the electric field strength, the mass and stiffness of the gear transmission system; constructing a constraint model, a state space model, an action space model and a reward model; optimizing the vibration amplitude model based on the constraint model, the state space model, the action space model and the reward model to obtain a minimum amplitude target model; constructing a multi-objective optimization model based on the minimum amplitude target model, and optimizing the multi-objective optimization model to obtain the global optimal electric field strength, the minimum mass and the optimal stiffness, so as to obtain the global minimum vibration amplitude, and realizing the minimum vibration amplitude and the minimum mass of the gear transmission system. The present invention ensures that the gear transmission system can obtain the minimum mass on the premise of the minimum vibration amplitude, meeting the requirements of vibration suppression and lightweight of the gear transmission system.

Description

Technical Field

[0001] The present invention relates to the field of transmission systems, and in particular to a method, system and device for achieving vibration suppression and lightweighting of a gear transmission system. Background Art

[0002] With the increasing performance requirements of modern mechanical systems, gear transmission systems have been widely used in engineering. However, gear transmission systems often encounter vibration problems during operation, which not only affects the stability and accuracy of the machinery, but also causes premature wear or failure of the gear transmission system. At the same time, with the increasing attention to energy consumption and environmental impact, lightweight design has become an important goal of mechanical system optimization. The lightweight design of the gear transmission system can effectively reduce the energy loss of the machinery and improve the transmission efficiency, but in actual design, lightweight and vibration suppression often have a contradictory relationship.

[0003] Existing vibration suppression methods usually reduce the vibration amplitude by increasing stiffness or mass, but this often leads to increased mass and structural complexity, thus affecting the lightweight goal of the system. On the other hand, lightweight design reduces the stiffness of the system, resulting in increased vibration. Therefore, in the design of gear transmission systems, how to achieve lightweight while ensuring vibration suppression is a technical problem that needs to be solved urgently. In recent years, the application of smart materials has provided new ideas for solving this problem. Summary of the invention

[0004] In view of the shortcomings of the prior art, the present invention provides a method, system and device for achieving vibration suppression and lightweighting of a gear transmission system.

[0005] In order to solve the above technical problems, the present invention is solved by the following technical solutions:

[0006] A method for achieving vibration suppression and lightweighting of a gear transmission system, comprising the following steps:

[0007] Based on relevant parameters of the gear transmission system and relevant parameters of the piezoelectric material, a vibration amplitude model is constructed, wherein the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field intensity;

[0008] Construct a constraint model of vibration amplitude and mass, construct a state space model based on the mass and stiffness of the gear transmission system, construct an action space model based on the electric field strength, and construct a reward model based on minimizing the vibration amplitude;

[0009] Based on the constraint model, state space model, action space model, and reward model, the vibration amplitude model is optimized to obtain the minimum amplitude target model. Specifically: under the constraint model, based on the reward value obtained from the reward model, the electric field strength in each state space is adjusted to adjust the vibration amplitude model until the optimization condition is met, and the optimal electric field strength in each state space, that is, the minimum amplitude target model, is obtained;

[0010] Based on the mass, stiffness, and electric field strength in the minimum amplitude target model, a multi-objective optimization model is constructed, and the multi-objective optimization model is optimized to obtain the global optimal electric field strength, minimum mass, and optimal stiffness, and then the global minimum vibration amplitude is obtained, realizing the minimum vibration amplitude and minimum mass of the gear transmission system.

[0011] As an implementable manner, the vibration amplitude model is expressed as follows:

[0012]

[0013] where, represents the vibration amplitude of the gear transmission system, represents the stiffness of the gear transmission system without applying the piezoelectric material control force, represents the mass of the gear transmission system, represents the electric field strength acting on the piezoelectric material, represents the initial external excitation force received by the gear transmission system, represents the piezoelectric constant of the piezoelectric material, represents the effective stress area of the piezoelectric material, represents the deformation displacement of the gear transmission system, represents the frequency of the external excitation force received by the gear transmission system, represents the damping coefficient of the gear transmission system.

[0014] As an implementable manner, the constraint model of the vibration amplitude and mass includes a first vibration amplitude constraint model and a first mass constraint model, and the first vibration amplitude constraint model and the first mass constraint model are respectively expressed as follows:

[0015]

[0016]

[0017] The state space model is expressed as follows:

[0018]

[0019] The action space model is expressed as follows:

[0020]

[0021] The reward model is expressed as follows:

[0022]

[0023] Wherein, represents the vibration amplitude of the gear transmission system, represents a preset vibration amplitude threshold, represents the mass of the gear transmission system, represents a preset first mass threshold, represents the state space, represents the discrete value of the mass of the gear transmission system, represents the discrete value of the stiffness of the gear transmission system, represents the total number of discrete values of the mass of the gear transmission system, represents the total number of discrete values of the stiffness of the gear transmission system, represents a state in the state space, represents the action space, represents the discrete value of the electric field strength, i.e., the action in the action space, represents the total number of discrete values of the electric field strength, represents the reward value, represents the current state in the state space, represents the action in the action space selected according to the current state.

[0024] As an implementable manner, optimizing the vibration amplitude model based on the constraint model, the state space model, the action space model, and the reward model to obtain the minimum amplitude target model includes the following steps:

[0025] Based on the reward model, obtain the reward value; based on the reward value, construct the Q-value update model of the Q-Learning algorithm to obtain the Q value;

[0026] Under the constraint model, based on the Q value, adjust the electric field strength in each state space through the Q-Learning algorithm to adjust the vibration amplitude model; until the optimization condition is met, obtain the optimal electric field strength in each state space, i.e., the minimum amplitude target model, wherein the optimization condition is to reach the preset number of adjustment times or the change in the Q value is less than the preset threshold or the reward value reaches the preset reward threshold;

[0027] Wherein, the Q-value update model is expressed as follows:

[0028]

[0029] Wherein, represents the updated Q value, Indicates the current state, Indicates the current action, Indicates the Q value, Indicates the learning rate, Indicates the reward value for taking the current action in the current state, Indicates the discount factor, Indicates the next state, Indicates all the actions that can be taken in the next state, Indicates the maximum Q value among the Q values obtained based on the next state and all the actions that can be taken in the next state.

[0030] As an implementable manner, under the constraint model, based on the Q value, the electric field strength in each state space is adjusted through the Q-Learning algorithm to realize the adjustment of the vibration amplitude model; until the optimization condition is met, the optimal electric field strength in each state space is obtained, including the following steps:

[0031] Based on the state space and the action space, the Q table of the Q-Learning algorithm is initialized to obtain an initialized Q table, where the state space in the initialized Q table satisfies the mass constraint model;

[0032] Randomly obtain an initial state from the state space, and based on the initial state and the initialized Q table, obtain an initial action;

[0033] Based on the initial state and the initial action, obtain the current vibration amplitude and the next state;

[0034] If the mass in the next state does not satisfy the first mass constraint model, adjust the mass in the next state to obtain the adjusted mass in the next state. If the current vibration amplitude does not satisfy the first vibration amplitude constraint model, adjust the current vibration amplitude to obtain the adjusted current vibration amplitude;

[0035] Based on the current vibration amplitude, obtain the current reward value;

[0036] Based on the initial state, the initial action, and the current reward value, combined with the Q value update model, obtain the updated Q value, and then obtain the updated Q table;

[0037] Based on the next state and the updated Q table, select the next action, and then obtain the next reward value and the next Q value, and update the Q table until the optimization condition is met to obtain the final Q table;

[0038] Extract each state, the maximum Q value corresponding to each state, and the action corresponding to each maximum Q value in the final Q table to obtain the maximum Q value table, that is, the minimum amplitude target model;

[0039] Among them, the mass in the adjusted next state and the adjusted current vibration amplitude are respectively expressed as follows:

[0040]

[0041]

[0042] Among them, represents the mass in the adjusted next state, represents the mass in the next state that does not satisfy the first mass constraint model, represents the preset mass adjustment amount, and , represents the adjusted current vibration amplitude, represents the preset vibration amplitude threshold.

[0043] As an implementable manner, construct a multi-objective optimization model based on the mass, stiffness, and electric field strength in the minimum amplitude target model, including the following steps:

[0044] The multi-objective optimization model includes an optimization variable model, an optimization objective model, and a second constraint model;

[0045] Construct an optimization variable model based on the mass, stiffness, and electric field strength in the minimum amplitude target model;

[0046] Construct an optimization objective model based on the mass, stiffness, and electric field strength in the minimum amplitude target model;

[0047] The second constraint model at least includes a second mass constraint model and a second vibration amplitude constraint model;

[0048] Among them, the optimization variable model is expressed as follows:

[0049]

[0050] The optimization objective model is expressed as follows:

[0051]

[0052] The second mass constraint model is expressed as follows:

[0053]

[0054] The second vibration amplitude constraint model is expressed as follows:

[0055]

[0056] Among them, represents the optimization variable, represents the mass of the gear transmission system in the minimum amplitude target model, represents the stiffness of the gear transmission system in the minimum amplitude target model, represents the electric field strength in the minimum amplitude target model, represents the optimized target value, represents the optimization target, and represents the weight factor, represents the preset second mass threshold, represents the minimum amplitude target model, represents the vibration amplitude in the minimum amplitude target model, represents the preset vibration amplitude threshold.

[0057] As an implementable manner, optimizing the multi-objective optimization model to obtain the global optimal electric field strength, the minimum mass, and the optimal stiffness, and further obtaining the global minimum vibration amplitude includes the following steps:

[0058] Based on the optimization target model, the second mass constraint model, and the second vibration amplitude constraint model, combined with the Lagrange multiplier, construct a Lagrange model;

[0059] Take the partial derivatives of the Lagrange model with respect to the optimization variables and the Lagrange multiplier to obtain a partial derivative model;

[0060] Solve the partial derivative model to obtain the optimal solutions of the optimization variables in the multi-objective optimization model, and further obtain the global optimal electric field strength, the global minimum mass, and the global optimal stiffness;

[0061] Based on the global optimal electric field strength, the global minimum mass, and the global optimal stiffness, combined with the minimum amplitude target model, obtain the global minimum vibration amplitude;

[0062] Among them, the Lagrange model is expressed as follows:

[0063]

[0064] The partial derivative model is expressed as follows:

[0065]

[0066] Among them, represents the Lagrange value, and represents the Lagrange multiplier.

[0067] A system for suppressing vibration and realizing lightweight of a gear transmission system includes an amplitude module, a modeling module, a local optimization module, and a global optimization module;

[0068] The amplitude module constructs a vibration amplitude model based on the relevant parameters of the gear transmission system and the relevant parameters of the piezoelectric material. Among them, the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field strength;

[0069] The modeling module constructs a constraint model between vibration amplitude and mass, constructs a state space model based on the mass and stiffness of the gear transmission system, constructs an action space model based on the electric field strength, and constructs a reward model based on minimizing the vibration amplitude;

[0070] The local optimization module optimizes the vibration amplitude model based on the constraint model, state space model, action space model, and reward model to obtain a minimum amplitude target model. Specifically: under the constraint model, based on the reward value obtained from the reward model, adjust the electric field strength in each state space to adjust the vibration amplitude model until the optimization conditions are met, and obtain the optimal electric field strength in each state space, that is, the minimum amplitude target model;

[0071] The global optimization module constructs a multi-objective optimization model based on the mass, stiffness, and electric field strength in the minimum amplitude target model, optimizes the multi-objective optimization model to obtain the global optimal electric field strength, minimum mass, and optimal stiffness, and then obtains the global minimum vibration amplitude, realizing the minimum vibration amplitude and minimum mass of the gear transmission system.

[0072] A computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the following method is implemented:

[0073] Construct a vibration amplitude model based on the relevant parameters of the gear transmission system and the relevant parameters of the piezoelectric material. Among them, the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field strength;

[0074] Construct a constraint model between vibration amplitude and mass, construct a state space model based on the mass and stiffness of the gear transmission system, construct an action space model based on the electric field strength, and construct a reward model based on minimizing the vibration amplitude;

[0075] Optimize the vibration amplitude model based on the constraint model, state space model, action space model, and reward model to obtain a minimum amplitude target model. Specifically: under the constraint model, based on the reward value obtained from the reward model, adjust the electric field strength in each state space to adjust the vibration amplitude model until the optimization conditions are met, and obtain the optimal electric field strength in each state space, that is, the minimum amplitude target model;

[0076] Based on the mass, stiffness, and electric field strength in the minimum amplitude target model, a multi-objective optimization model is constructed. The multi-objective optimization model is optimized to obtain the global optimal electric field strength, minimum mass, and optimal stiffness, and then the global minimum vibration amplitude is obtained, realizing the minimum vibration amplitude and minimum mass of the gear transmission system.

[0077] A device for suppressing vibration and realizing lightweight of a gear transmission system includes a memory, a processor, and a computer program stored in the memory and running on the processor. When the processor executes the computer program, the following method is implemented:

[0078] Based on the relevant parameters of the gear transmission system and the relevant parameters of the piezoelectric material, a vibration amplitude model is constructed. Among them, the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field strength;

[0079] Construct a constraint model of vibration amplitude and mass, construct a state space model based on the mass and stiffness of the gear transmission system, construct an action space model based on the electric field strength, and construct a reward model based on minimizing the vibration amplitude;

[0080] Based on the constraint model, state space model, action space model, and reward model, the vibration amplitude model is optimized to obtain the minimum amplitude target model. Specifically: under the constraint model, based on the reward value obtained from the reward model, the electric field strength in each state space is adjusted to adjust the vibration amplitude model until the optimization condition is met, and the optimal electric field strength in each state space, that is, the minimum amplitude target model, is obtained;

[0081] Based on the mass, stiffness, and electric field strength in the minimum amplitude target model, a multi-objective optimization model is constructed. The multi-objective optimization model is optimized to obtain the global optimal electric field strength, minimum mass, and optimal stiffness, and then the global minimum vibration amplitude is obtained, realizing the minimum vibration amplitude and minimum mass of the gear transmission system.

[0082] Due to the adoption of the above technical solutions, the present invention has remarkable technical effects: The present invention relates to a method, system and device for suppressing vibration and realizing lightweight of a gear transmission system. A piezoelectric material is used as a smart material, and the control force generated by the piezoelectric material is adjusted by adjusting the electric field strength acting on the piezoelectric material. Furthermore, the vibration amplitude of the gear transmission system is controlled in real time through the control force of the piezoelectric material. An amplitude-electric field strength model is constructed based on the vibration amplitude, electric field strength, mass and stiffness of the gear transmission system. The amplitude-electric field strength model is optimized based on the minimum vibration amplitude to obtain the minimum vibration amplitude and the corresponding optimal electric field strength corresponding to different masses and different stiffnesses. Further, the mass and the minimum vibration amplitude of the gear transmission system are synchronously optimized to obtain the minimum mass of the gear transmission system and the final optimal electric field strength, thereby realizing vibration suppression and lightweight of the gear transmission system. The method of the present invention deeply considers the interaction relationship between the mass and the vibration amplitude of the gear transmission system, ensures the minimization of the mass of the gear transmission system while minimizing the vibration amplitude, effectively meets the dual requirements of vibration suppression and lightweight, and further improves the operation efficiency and stability of the gear transmission system. BRIEF DESCRIPTION OF THE DRAWINGS

[0083] In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings required for the description of the embodiments or the prior art. Obviously, the drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, without creative efforts, other drawings can be obtained based on these drawings.

[0084] Figure 1 is a schematic flow chart of the method of the present invention;

[0085] Figure 2 is a schematic overall view of the system of the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0086] The following further elaborates on the present invention in conjunction with embodiments. The following embodiments are explanations of the present invention, and the present invention is not limited to the following embodiments. Without conflict, the features in the following embodiments can be combined with each other.

[0087] Embodiment 1:

[0088] A method for suppressing vibration and realizing lightweight of a gear transmission system, as Figure 1 shown, includes the following steps:

[0089] S100: Based on the relevant parameters of the gear transmission system and the relevant parameters of the piezoelectric material, construct a vibration amplitude model. Among them, the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field strength;

[0090] S200: Construct a constraint model of vibration amplitude and mass, construct a state space model based on the mass and stiffness of the gear transmission system, construct an action space model based on the electric field strength, and construct a reward model based on minimizing the vibration amplitude;

[0091] S300: Based on the constraint model, state space model, action space model, and reward model, optimize the vibration amplitude model to obtain a minimum amplitude target model. Specifically: under the constraint model, based on the reward value obtained from the reward model, adjust the electric field strength in each state space to adjust the vibration amplitude model until the optimization condition is met, and obtain the optimal electric field strength in each state space, that is, the minimum amplitude target model;

[0092] S400: Based on the mass, stiffness, and electric field strength in the minimum amplitude target model, construct a multi-objective optimization model, optimize the multi-objective optimization model to obtain the global optimal electric field strength, minimum mass, and optimal stiffness, and then obtain the global minimum vibration amplitude, realizing the minimum vibration amplitude and minimum mass of the gear transmission system.

[0093] In S100, based on the relevant parameters of the gear transmission system and the relevant parameters of the piezoelectric material, construct a vibration amplitude model. Among them, the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field strength. Among them, the derivation process of the vibration amplitude model is as follows:

[0094] (1) Construct the initial vibration amplitude model of the gear transmission system (without the control force of the piezoelectric material), which is expressed as follows:

[0095]

[0096] Among them, represents the mass of the gear transmission system, represents the vibration displacement of the gear transmission system, represents the vibration velocity, represents the vibration acceleration, represents the damping coefficient of the gear transmission system, represents the stiffness of the gear transmission system, represents the external excitation force.

[0097] The external excitation force is a periodic external force acting on the gear transmission system, which is expressed as follows:

[0098]

[0099] Among them, represents the initial external excitation force, i.e., the amplitude of the external excitation force, represents the frequency of the external excitation force, represents time. Considering the forced vibration of the system, the vibration displacement of the gear transmission system is expressed as follows:

[0100]

[0101] Among them, represents the initial vibration amplitude (without the control force of the piezoelectric material), represents the initial phase.

[0102] The updated initial vibration amplitude model is expressed as follows:

[0103]

[0104] Expand into , then it is expressed as follows:

[0105]

[0106] In order to make the sine terms and cosine terms on both sides match, the following system of equations is obtained:

[0107]

[0108] Eliminate the phase , and add the squares of the two formulas in the system of equations to get:

[0109]

[0110] Solve to obtain another representation of the initial vibration amplitude model:

[0111]

[0112] It can be seen that the initial vibration amplitude depends on the external excitation force , the mass of the system, the stiffness , the damping coefficient and the excitation frequency . This model provides a mathematical basis for the subsequent control strategy design and lightweight design. By adjusting the mass, stiffness and damping coefficient, the vibration amplitude of the system can be effectively controlled, so as to achieve the balance between vibration suppression and lightweight design.

[0113] Relationship between natural frequency and initial vibration amplitude, natural frequency is the natural frequency of the gear transmission system, , natural frequency and the frequency of the external excitation force is very crucial. If the frequency of the external excitation force is close to the natural frequency of the system, resonance will occur in the system, resulting in a sharp increase in the initial vibration amplitude. Therefore, in order to control the vibration amplitude, it is necessary to avoid the excitation frequency being close to the natural frequency . When the external excitation frequency is close to the natural frequency , the vibration amplitude of the system is the largest, , which requires avoiding the occurrence of resonance in actual design. Therefore, the natural frequency is usually ensured not to be close to the external excitation frequency by adjusting the mass and stiffness.

[0114] (2) Matching the piezoelectric material to the gear transmission system to obtain the target stiffness of the gear transmission system

[0115] Matching the piezoelectric material to the gear transmission system to obtain the control force of the piezoelectric material, which is expressed as follows:

[0116]

[0117] Among them, represents the control force generated by the piezoelectric material, represents the piezoelectric constant of the piezoelectric material (indicating the stress generated under a unit electric field, characterizing the conversion ability of the electric field to stress), represents the effective stress area of the piezoelectric material, represents the electric field strength applied to the piezoelectric material. By adjusting the electric field strength in real time, the control force of the piezoelectric actuator can be precisely controlled, thereby canceling the undesired vibration in the transmission system. According to the mechanical properties of the material, the control force of the piezoelectric material can change the stiffness of the gear transmission system. The piezoelectric material applies a control force to a certain position of the gear to change the stiffness of the gear transmission system. The system stiffness of the gear transmission system after applying the control force of the piezoelectric material is the target stiffness of the gear transmission system, which is expressed as follows:

[0118]

[0119] Among them, represents the stiffness of the gear transmission system after applying the control force of the piezoelectric material, i.e., the target stiffness, represents the initial (without applying the control force of the piezoelectric material) stiffness of the gear transmission system, represents the deformation displacement generated by the gear transmission system when it is subjected to the control force of the piezoelectric material, represents the piezoelectric constant of the piezoelectric material (indicating the stress generated under a unit electric field, characterizing the conversion ability of the electric field to stress), represents the effective stress area of the piezoelectric material, represents the electric field strength applied to the piezoelectric material. By adjusting the electric field strength in real time , the control force of the piezoelectric actuator can be precisely controlled, thereby canceling the undesired vibrations in the gear transmission system. The control force of the piezoelectric material is an active control force, and the stiffness and vibration mode of the gear can be changed by adjusting the electric field strength.

[0120] (3) Through the target stiffness, update the initial vibration amplitude model to obtain the vibration amplitude model of the gear transmission system, and obtain the vibration amplitude of the gear transmission system after applying the control force of the piezoelectric material. The vibration amplitude model is expressed as follows:

[0121]

[0122] Among them, represents the vibration amplitude of the gear transmission system, represents the initial external excitation force received by the gear transmission system, that is, the amplitude of the external excitation force, represents the stiffness of the gear transmission system, represents the piezoelectric constant of the piezoelectric material, represents the electric field strength, which is an adjustable control variable, represents the effective stress area of the piezoelectric material, represents the deformation displacement of the gear, represents the mass of the gear transmission system, represents the frequency of the external excitation force received by the gear transmission system, represents the damping coefficient of the gear transmission system. By adjusting the electric field strength the control force of the piezoelectric material can be controlled, thereby actively controlling the vibration amplitude of the gear transmission system. The control force generated by the piezoelectric material is an active control force, and the stiffness and vibration mode of the gear can be changed by adjusting the electric field strength.

[0123] In S200, a constraint model of vibration amplitude and mass is constructed, a state space model is constructed based on the mass and stiffness of the gear transmission system, an action space model is constructed based on the electric field strength, and a reward model is constructed based on the minimization of the vibration amplitude. Among them, the constraint model of vibration amplitude and mass includes a first vibration amplitude constraint model and a first mass constraint model. The first vibration amplitude constraint model and the first mass constraint model are respectively expressed as follows:

[0124]

[0125]

[0126] The state space model is expressed as follows:

[0127]

[0128] The action space model is expressed as follows:

[0129]

[0130] The reward model is expressed as follows:

[0131]

[0132] Wherein, represents the vibration amplitude of the gear transmission system, represents the preset vibration amplitude threshold, represents the mass of the gear transmission system, represents the preset first mass threshold, represents the state space, represents the discrete value of the mass of the gear transmission system, represents the discrete value of the stiffness of the gear transmission system, represents the total number of discrete values of the mass of the gear transmission system, represents the total number of discrete values of the stiffness of the gear transmission system, represents a state in the state space, represents the action space, represents the discrete value of the electric field strength, i.e., the action in the action space, represents the total number of discrete values of the electric field strength, represents the reward value, and the reward value is the opposite of the vibration amplitude, which means that the smaller the vibration amplitude, the higher the reward value. represents the current state in the state space, represents the action in the action space selected according to the current state.

[0133] In this embodiment, the vibration amplitude model is optimized by constructing a reinforcement learning model. Because, usually, the lightweight design of the gear transmission system is achieved by reducing the mass of the gear transmission system. However, reducing the mass will affect the natural frequency of the gear transmission system, thereby affecting the vibration amplitude. Therefore, it is necessary to constrain the mass and the vibration amplitude. The mass cannot be lower than the preset mass threshold to ensure the vibration amplitude of the system, and the vibration amplitude must be less than the preset vibration amplitude threshold to ensure effective suppression of vibration. Since the reward value is the opposite of the vibration amplitude, constraining the vibration amplitude is equivalent to constraining the reward value, that is, Here, in order to ensure that the vibration amplitude will not be too large, only the minimum mass constraint is imposed on the mass, which is a weak constraint on the mass.

[0134] In S300, based on the constraint model, state space model, action space model, and reward model, the vibration amplitude model is optimized to obtain the minimum amplitude target model. Specifically: under the constraint model, based on the reward value obtained from the reward model, the electric field strength in each state space is adjusted to adjust the vibration amplitude model until the optimization condition is met, and the optimal electric field strength in each state space, that is, the minimum amplitude target model, is obtained, including the following steps:

[0135] S310: Based on the reward model, obtain the reward value; based on the reward value, construct the Q-value update model of the Q-Learning algorithm to obtain the Q value. In this embodiment, the Q-learning algorithm is used to obtain the optimal control strategy of reinforcement learning. The Q-learning algorithm approximates the optimal strategy by iteratively updating the Q value of each state-action pair. The Q value represents the expected return of taking a certain action in a given state. The Q-value update model is expressed as follows:

[0136]

[0137] Among them, represents the updated Q value, represents the current state, represents the current action, represents the Q value, represents the learning rate. The value range of the learning rate is usually between 0 and 1, which is used to control the learning speed, represents the reward value of taking the current action in the current state, which is the immediate reward value, represents the discount factor. The value range of the discount factor is between 0 and 1, which represents the importance of future rewards, represents the current state transfers to the next state, represents all the actions that can be taken in the next state, represents the maximum Q value among the Q values obtained based on the next state and all the actions that can be taken in the next state, that is, the Q value corresponding to the best action in the next state is an estimate of the best future action and is used to calculate the expected future return. By continuously updating the Q value, the reinforcement learning model can gradually find the strategy of taking the best action in each state. This strategy can minimize the vibration amplitude and at the same time meet the lightweight constraint. is an estimate of the best future action and is used to calculate the expected future return. By continuously updating the Q value, the reinforcement learning model can gradually find the strategy of taking the best action in each state. This strategy can minimize the vibration amplitude and at the same time meet the lightweight constraint.

[0138] S320: Under the constraint model, based on the Q value, adjust the electric field strength in each state space through the Q-Learning algorithm to achieve the adjustment of the vibration amplitude model; until the optimization condition is met, obtain the optimal electric field strength in each state space, that is, the minimum amplitude target model, where the optimization condition is to reach the preset number of adjustment times or the change in the Q value is less than the preset threshold or the reward value reaches the preset reward threshold. Specifically, it includes:

[0139] S321: Initialize the Q table of the Q-Learning algorithm based on the state space and the action space to obtain the initialized Q table. The Q table is a mapping table of the state space and the action space , and its size is the size of the state space multiplied by the size of the action space. Each element of the Q table represents the expected Q value of executing the action in the state . Usually, all Q values are initialized to 0 or small random numbers. Since there are constraints on the mass in the state space in this application, the state spaces that do not meet the first mass constraint model are excluded when initializing the Q table.

[0140] S322: Randomly obtain an initial state from the state space. Based on the initial state and the initialized Q table, obtain the initial action; Select the state and the action: Randomly select a state from the state space of the initialized Q table as the initial state. The initial state is also the current state at present. According to the current state and the Q table, use the greedy strategy to select an action from the action space, with a probability of randomly select an action, and with a probability of select the action with the maximum Q value, that is, the best initial action.

[0141] S323: Based on the initial state and the initial action, obtain the current vibration amplitude and the next state;

[0142] If the mass in the next state does not meet the first mass constraint model, adjust the mass in the next state to obtain the adjusted mass in the next state. If the current vibration amplitude does not meet the first vibration amplitude constraint model, adjust the current vibration amplitude to obtain the adjusted current vibration amplitude. The adjusted mass in the next state and the adjusted current vibration amplitude are respectively expressed as follows:

[0143]

[0144]

[0145] Among them, represents the adjusted mass in the next state, represents the mass in the next state that does not meet the first mass constraint model, represents a preset quality adjustment amount, and , for convenience of processing, it can be taken as , or search in the state space for the quality closest to and greater than or equal to as the quality of the next state. represents the adjusted current vibration amplitude, represents a preset vibration amplitude threshold.

[0146] S324: Based on the current vibration amplitude, obtain the current reward value;

[0147] S325: Based on the initial state, initial action, and the current reward value, combine with the Q-value update model to obtain the updated Q-value, and then obtain the updated Q-table;

[0148] S326: Based on the next state and the updated Q-table, select the next action, and then obtain the next reward value and the next Q-value, and update the Q-table until the optimization condition is met (the optimization condition is to reach the preset number of adjustments or the change in the Q-value is less than the preset threshold or the reward value reaches the preset reward threshold), to obtain the final Q-table. The final Q-table is the mapping of all states in the state space and all optional actions in the action space, and the corresponding Q-values.

[0149] S327: Extract each state, the maximum Q-value corresponding to each state, and the action corresponding to each maximum Q-value in the final Q-table to obtain the maximum Q-value table, which is the minimum amplitude target model. For different states (stiffness and mass), the action corresponding to the maximum Q-value is the optimal action in that state, and the optimal action is the optimal electric field strength in that state. Extract the best action in each state in the final Q-table, and the obtained maximum Q-value table is the state space best action mapping table, that is, the electric field strength mapping table that minimizes the vibration amplitude under different stiffnesses and different masses.

[0150] Through the Q-Learning algorithm, find the electric field strength that minimizes the vibration amplitude in reinforcement learning and maintain the lightweight design requirements during this process. The Q-learning algorithm can approximate the optimal value of each state-action pair by continuously iterating and updating the Q-value. After training is completed, for any state, select the action with the maximum Q-value (the minimum vibration amplitude and meeting the lightweight requirements) as the optimal action. This method does not require the environmental transition probability model, so it is applicable to many practical problems.

[0151] In S400, based on the mass, stiffness, and electric field strength in the minimum amplitude target model, a multi-objective optimization model is constructed. The multi-objective optimization model is optimized to obtain the global optimal electric field strength, minimum mass, and optimal stiffness, and then the global minimum vibration amplitude is obtained, realizing the minimum vibration amplitude and minimum mass of the gear transmission system. The minimum amplitude target model obtained through the above steps is the optimal electric field strength mapping model that should be adopted when the vibration amplitude is minimized under different stiffnesses and different masses. The optimal electric field strength here is only the optimal electric field strength for specific mass and specific stiffness, belonging to the local optimal electric field strength. That is to say, the minimum amplitude target model obtains a set of stiffnesses, masses, and local optimal electric field strengths, and it is impossible to determine which set of data can achieve the minimum vibration amplitude and minimum mass of the gear transmission system. Therefore, it is necessary to further select this series of data sets to obtain the global optimal electric field strength, global minimum mass, and global optimal stiffness that minimize the vibration amplitude and mass, and then obtain the global minimum vibration amplitude, including the following steps:

[0152] S410: Based on the mass, stiffness, and electric field strength in the minimum amplitude target model, construct a multi-objective optimization model, where the multi-objective optimization model includes an optimization variable model, an optimization objective model, and a second constraint model;

[0153] Based on the mass, stiffness, and electric field strength in the minimum amplitude target model, construct an optimization variable model, and the optimization variable model is expressed as follows:

[0154]

[0155] Based on the mass, stiffness, and electric field strength in the minimum amplitude target model, construct an optimization objective model. In order to achieve the balance between vibration suppression and lightweight design, the optimization objective model needs to comprehensively consider the vibration amplitude and mass, and while ensuring the minimum vibration amplitude, minimize the mass as much as possible. In order to obtain better numerical results during the optimization process, the vibration amplitude is normalized or squared to facilitate better gradient optimization. A common method is to square it and introduce a weight factor. The optimization objective model is expressed as follows:

[0156]

[0157] The second constraint model includes at least a second mass constraint model and a second vibration amplitude constraint model. The second constraint model further constrains the mass and the vibration amplitude. The mass cannot be greater than a preset mass threshold to ensure that the system meets the lightweight requirement, and the vibration amplitude must be less than a preset vibration amplitude threshold to ensure that the vibration is effectively suppressed, thereby ensuring that the optimization result not only meets the requirements of lightweight design but also guarantees the effect of vibration suppression. The second constraint model constrains that the mass cannot exceed the preset mass threshold, which is a strong constraint on the mass. The second mass constraint model and the second vibration amplitude constraint model are respectively expressed as follows:

[0158]

[0159]

[0160] Among them, represents the optimization variable, represents the mass of the gear transmission system in the minimum amplitude target model, represents the stiffness of the gear transmission system in the minimum amplitude target model, represents the electric field strength in the minimum amplitude target model, represents the optimization target value, represents the optimization target, and represent the weight factors, represents the preset second mass threshold, represents the minimum amplitude target model, represents the vibration amplitude in the minimum amplitude target model, represents the preset vibration amplitude threshold.

[0161] S420: Optimize the multi-objective optimization model to obtain the global optimal electric field strength, the minimum mass, and the optimal stiffness, and then obtain the global minimum vibration amplitude, including the following steps:

[0162] (1) Based on the optimization target model, the second mass constraint model, and the second vibration amplitude constraint model, combined with the Lagrange multiplier, construct a Lagrange model; the Lagrange model is expressed as follows:

[0163]

[0164] (2) Take the partial derivatives of the Lagrange model with respect to the optimization variable and the Lagrange multiplier to obtain a partial derivative model. The partial derivative model is expressed as follows:

[0165]

[0166] Among them, represents the Lagrange value, and denotes the Lagrange multiplier.

[0167] (3) Solve the partial derivative model, and the solution of the partial derivative model is the optimal solution of the Lagrange model. The optimal solution includes the optimal optimization variables i.e., the optimal stiffness , the optimal mass and the optimal electric field strength . The optimal optimization variables minimize the vibration amplitude and mass of the gear transmission system under the constraint model that satisfies vibration suppression and lightweight design, so they are the global optimal electric field strength, the global minimum mass, and the global optimal stiffness.

[0168] (4) Based on the global optimal electric field strength, the global minimum mass, and the global optimal stiffness, combined with the minimum amplitude target model, obtain the global minimum vibration amplitude, and achieve the minimum vibration amplitude and mass of the gear transmission system.

[0169] Example 2:

[0170] A system for realizing vibration suppression and lightweight of a gear transmission system, as Figure 2 shown, includes an amplitude module 100, a modeling module 200, a local optimization module 300, and a global optimization module 400;

[0171] The amplitude module 100 constructs a vibration amplitude model based on the relevant parameters of the gear transmission system and the relevant parameters of the piezoelectric material. Among them, the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field strength;

[0172] The modeling module 200 constructs a constraint model of vibration amplitude and mass, constructs a state space model based on the mass and stiffness of the gear transmission system, constructs an action space model based on the electric field strength, and constructs a reward model based on minimizing the vibration amplitude;

[0173] The local optimization module 300 optimizes the vibration amplitude model based on the constraint model, the state space model, the action space model, and the reward model to obtain a minimum amplitude target model. Specifically: under the constraint model, based on the reward value obtained from the reward model, adjust the electric field strength in each state space to adjust the vibration amplitude model until the optimization condition is met, and obtain the optimal electric field strength in each state space, that is, the minimum amplitude target model;

[0174] The global optimization module 400 constructs a multi-objective optimization model based on the mass, stiffness, and electric field strength in the minimum amplitude target model, optimizes the multi-objective optimization model, obtains the global optimal electric field strength, minimum mass, and optimal stiffness, and further obtains the global minimum vibration amplitude, so as to achieve the minimum vibration amplitude and minimum mass of the gear transmission system.

[0175] All changes and modifications made without departing from the spirit and scope of the present invention, and all equivalent technical solutions also fall within the scope of the present invention.

[0176] Each embodiment in this specification is described in a progressive manner. The key point of each embodiment is to illustrate the differences from other embodiments. For the same or similar parts among the embodiments, reference can be made to each other.

[0177] Those skilled in the art should understand that the embodiments of the present invention can be provided as methods, devices, or computer program products. Therefore, the present invention can take the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present invention can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0178] The present invention is described with reference to the flowcharts and / or block diagrams of methods, terminal devices (systems), and computer program products according to the present invention. It should be understood that each process and / or block in the flowcharts and / or block diagrams, and the combination of processes and / or blocks in the flowcharts and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to the processors of general-purpose computers, special-purpose computers, embedded processors, or other programmable data processing terminal devices to generate a machine, so that the instructions executed by the processors of the computer or other programmable data processing terminal devices generate means for implementing the functions specified in Figure 1 one process or multiple processes and / or blocks Figure 1 one block or multiple blocks.

[0179] These computer program instructions can also be stored in a computer-readable memory that can direct a computer or other programmable data processing terminal device to work in a specific manner, so that the instructions stored in the computer-readable memory generate a manufactured product including instruction means, and the instruction means implements the functions specified in Figure 1 one process or multiple processes and / or blocks Figure 1 one block or multiple blocks.

[0180] These computer program instructions can also be loaded onto a computer or other programmable data processing terminal device, so that a series of operation steps are executed on the computer or other programmable terminal device to generate a computer-implemented process, and thus the instructions executed on the computer or other programmable terminal device provide for implementing the process Figure 1 one process or multiple processes and / or blocks Figure 1 steps of the functions specified in one block or multiple blocks.

[0181] It should be noted that:

[0182] The phrase "an embodiment" or "embodiments" mentioned in the specification means that the specific features, structures or characteristics described in connection with the embodiments are included in at least one embodiment of the present invention. Therefore, the phrases "an embodiment" or "embodiments" that appear throughout the specification do not necessarily all refer to the same embodiment.

[0183] In addition, it should be noted that for the specific embodiments described in this specification, the shapes, names of the components, etc. can be different. Any equivalent or simple changes made according to the structure, features and principles described in the inventive concept of the present invention are included in the protection scope of the present invention. Those skilled in the art to which the present invention pertains can make various modifications or supplements to the described specific embodiments or use similar ways to replace them, as long as they do not deviate from the structure of the present invention or exceed the scope defined by this claim book, they should fall within the protection scope of the present invention.

Claims

1. A method for achieving vibration suppression and lightweighting of a gear transmission system, characterized in that: The following steps are involved: Based on relevant parameters of the gear transmission system and relevant parameters of the piezoelectric material, a vibration amplitude model is constructed, wherein the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field intensity; Construct a constraint model of vibration amplitude and mass, construct a state space model based on the mass and stiffness of the gear transmission system, construct an action space model based on the electric field strength, and construct a reward model based on minimizing the vibration amplitude; Based on the constraint model, state space model, action space model and reward model, the vibration amplitude model is optimized to obtain the minimum amplitude target model. Specifically, under the constraint model, based on the reward value obtained by the reward model, the electric field strength in each state space is adjusted to adjust the vibration amplitude model until the optimization conditions are met, and the optimal electric field strength in each state space, i.e., the minimum amplitude target model, is obtained. Based on the mass, stiffness and electric field strength in the minimum amplitude target model, a multi-objective optimization model is constructed and optimized to obtain the global optimal electric field strength, minimum mass and optimal stiffness, and then the global minimum vibration amplitude is obtained, thus achieving the minimum vibration amplitude and minimum mass of the gear transmission system. Wherein, the vibration amplitude model is expressed as follows: The vibration amplitude and mass constraint model includes a first vibration amplitude constraint model and a first mass constraint model, and the first vibration amplitude constraint model and the first mass constraint model are respectively expressed as follows: The state space model is expressed as follows: The action space model is expressed as follows: The reward model is expressed as follows: in, represents the vibration amplitude of the gear transmission system, represents the stiffness of the gear transmission system without the piezoelectric material control force, Indicates the quality of the gear transmission system, represents the electric field strength acting on the piezoelectric material, represents the initial external excitation force on the gear transmission system, represents the piezoelectric constant of the piezoelectric material, represents the effective force-bearing area of ​​the piezoelectric material, represents the deformation displacement of the gear transmission system, represents the frequency of the external excitation force on the gear transmission system, represents the damping coefficient of the gear transmission system, Indicates the preset vibration amplitude threshold, represents the preset first quality threshold, represents the state space, A discrete value representing the mass of the gear transmission system, represents the discrete value of the gear transmission system stiffness, represents the total number of discrete values ​​of the quality of the gear transmission system, represents the total number of discrete values ​​of the gear transmission system stiffness, represents a state in the state space, represents the action space, The discrete value representing the electric field strength is the action in the action space, represents the total number of discrete values ​​of the electric field strength, represents the current state in the state space, represents the current action in the action space selected according to the current state, Indicates the reward value for taking the current action in the current state.

2. The method for achieving vibration suppression and lightweighting of a gear transmission system according to claim 1, characterized in that: The vibration amplitude model is optimized based on the constraint model, the state space model, the action space model and the reward model to obtain the minimum amplitude target model, including the following steps: Based on the reward model, a reward value is obtained; based on the reward value, a Q-value update model of the Q-Learning algorithm is constructed to obtain a Q value; Under the constraint model, based on the Q value, the electric field strength in each state space is adjusted by the Q-Learning algorithm to adjust the vibration amplitude model; until the optimization condition is met, the optimal electric field strength in each state space, that is, the minimum amplitude target model, is obtained, wherein the optimization condition is that a preset number of adjustments is reached or the change in the Q value is less than a preset threshold or the reward value reaches a preset reward threshold; Among them, the Q value update model is expressed as follows: in, represents the updated Q value, represents the Q value, represents the learning rate, represents the discount factor, Indicates the next state, Indicates all actions that can be taken in the next state. It represents the maximum Q value among all the Q values ​​that can be obtained based on the next state and all the actions that can be taken in the next state.

3. The method for achieving vibration suppression and lightweighting of a gear transmission system according to claim 2, characterized in that: The electric field strength in each state space is adjusted based on the Q value by the Q-Learning algorithm under the constraint model to adjust the vibration amplitude model until the optimization condition is met to obtain the optimal electric field strength in each state space, including the following steps: Based on the state space and the action space, a Q-table of the Q-Learning algorithm is initialized to obtain an initialized Q-table, wherein the state space in the initialized Q-table satisfies the first quality constraint model; Randomly obtain the initial state from the state space, and obtain the initial action based on the initial state and the initialized Q table; Based on the initial state and initial action, the current vibration amplitude and the next state are obtained; If the mass in the next state does not satisfy the first mass constraint model, the mass in the next state is adjusted to obtain the adjusted mass in the next state; if the current vibration amplitude does not satisfy the first vibration amplitude constraint model, the current vibration amplitude is adjusted to obtain the adjusted current vibration amplitude; Based on the current vibration amplitude, get the current reward value; Based on the initial state, initial action and current reward value, combined with the Q value update model, the updated Q value is obtained, and then the updated Q table is obtained; Based on the next state and the updated Q-table, the next action is selected to obtain the next reward value and the next Q-value, and the Q-table is updated until the optimization conditions are met to obtain the final Q-table. Extract each state in the final Q table, the maximum Q value corresponding to each state, and the action corresponding to each maximum Q value, and obtain the maximum Q value table, which is the minimum amplitude target model; Among them, the adjusted mass in the next state and the adjusted current vibration amplitude are expressed as follows: in, represents the quality in the next state after adjustment, represents the quality in the next state that does not satisfy the first quality constraint model, represents the preset quality adjustment amount, and , represents the preset first quality threshold, Indicates the current vibration amplitude after adjustment, Indicates the preset vibration amplitude threshold.

4. The method for achieving vibration suppression and lightweighting of a gear transmission system according to claim 1, characterized in that: The multi-objective optimization model is constructed based on the mass, stiffness and electric field strength in the minimum amplitude target model, including the following steps: The multi-objective optimization model includes an optimization variable model, an optimization target model and a second constraint model; Based on the mass, stiffness and electric field strength in the minimum amplitude target model, an optimization variable model is constructed; Based on the mass, stiffness and electric field strength in the minimum amplitude target model, an optimization target model is constructed; The second constraint model at least includes a second mass constraint model and a second vibration amplitude constraint model; Wherein, the optimization variable model is expressed as follows: The optimization target model is expressed as follows: The second quality constraint model is expressed as follows: The second vibration amplitude constraint model is expressed as follows: in, represents the optimization variable, represents the mass of the gear transmission system in the minimum amplitude target model, represents the stiffness of the gear transmission system in the minimum amplitude target model, represents the electric field strength in the minimum amplitude target model, represents the optimization target value, represents the optimization goal, and represents the weight factor, represents the preset second quality threshold, represents the minimum amplitude target model, represents the vibration amplitude in the minimum amplitude target model, Indicates the preset vibration amplitude threshold.

5. The method for achieving vibration suppression and lightweighting of a gear transmission system according to claim 4, characterized in that: The multi-objective optimization model is optimized to obtain the global optimal electric field strength, the minimum mass and the optimal stiffness, and then the global minimum vibration amplitude, including the following steps: Based on the optimization target model, the second mass constraint model and the second vibration amplitude constraint model, combined with Lagrangian multipliers, a Lagrangian model is constructed; The partial derivatives of the Lagrangian model are obtained based on the optimization variables and the Lagrangian multipliers to obtain a partial derivative model; Solve the partial derivative model to obtain the optimal solution of the optimization variables in the multi-objective optimization model, and then obtain the global optimal electric field intensity, global minimum mass and global optimal stiffness; Based on the global optimal electric field intensity, global minimum mass and global optimal stiffness, combined with the minimum amplitude target model, the global minimum vibration amplitude is obtained; The Lagrangian model is expressed as follows: The partial derivative model is expressed as follows: in, represents the Lagrangian value, and represents the Lagrange multiplier.

6. A gear transmission system vibration suppression and lightweight realization system, characterized in that: Includes amplitude module, modeling module, local optimization module and global optimization module; The amplitude module constructs a vibration amplitude model based on relevant parameters of the gear transmission system and relevant parameters of the piezoelectric material, wherein the relevant parameters of the gear transmission system at least include the mass, stiffness, and vibration amplitude of the gear transmission system, and the relevant parameters of the piezoelectric material at least include the electric field strength; The modeling module constructs a constraint model of vibration amplitude and mass, constructs a state space model based on the mass and stiffness of the gear transmission system, constructs an action space model based on the electric field intensity, and constructs a reward model based on minimization of vibration amplitude; The local optimization module optimizes the vibration amplitude model based on the constraint model, the state space model, the action space model and the reward model to obtain the minimum amplitude target model, specifically: under the constraint model, based on the reward value obtained by the reward model, the electric field strength in each state space is adjusted to adjust the vibration amplitude model until the optimization condition is met, and the optimal electric field strength in each state space, that is, the minimum amplitude target model, is obtained; The global optimization module constructs a multi-objective optimization model based on the mass, stiffness and electric field strength in the minimum amplitude target model, optimizes the multi-objective optimization model, obtains the global optimal electric field strength, minimum mass and optimal stiffness, and then obtains the global minimum vibration amplitude, thereby achieving the minimum vibration amplitude and minimum mass of the gear transmission system; Wherein, the vibration amplitude model is expressed as follows: The vibration amplitude and mass constraint model includes a first vibration amplitude constraint model and a first mass constraint model, and the first vibration amplitude constraint model and the first mass constraint model are respectively expressed as follows: The state space model is expressed as follows: The action space model is expressed as follows: The reward model is expressed as follows: in, represents the vibration amplitude of the gear transmission system, represents the stiffness of the gear transmission system without the piezoelectric material control force, Indicates the quality of the gear transmission system, represents the electric field strength acting on the piezoelectric material, represents the initial external excitation force on the gear transmission system, represents the piezoelectric constant of the piezoelectric material, represents the effective force-bearing area of ​​the piezoelectric material, represents the deformation displacement of the gear transmission system, represents the frequency of the external excitation force on the gear transmission system, represents the damping coefficient of the gear transmission system, Indicates the preset vibration amplitude threshold, represents the preset first quality threshold, represents the state space, A discrete value representing the mass of the gear transmission system, represents the discrete value of the gear transmission system stiffness, represents the total number of discrete values ​​of the quality of the gear transmission system, represents the total number of discrete values ​​of the gear transmission system stiffness, represents a state in the state space, represents the action space, The discrete value representing the electric field strength is the action in the action space, represents the total number of discrete values ​​of the electric field strength, represents the current state in the state space, represents the current action in the action space selected according to the current state, Indicates the reward value for taking the current action in the current state.

7. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, the method according to any one of claims 1 to 5 is implemented.

8. A device for achieving vibration suppression and lightweighting of a gear transmission system, comprising a memory, a processor, and a computer program stored in the memory and running on the processor, characterized in that: When the processor executes the computer program, the method according to any one of claims 1 to 5 is implemented.

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