基于改进粒子群算法的非对称传动主轴多目标优化

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摘要针对某特种车辆传动系统由于结构布局限制导致的主轴两侧非等强度设计问题，综合考虑传动主轴-轴承系统内外多源激励，采用集中质量法建立系统非线性振动模型。基于所建立的模型，利用Runge-Kutta进行数值仿真求解，分析了稳态工况下系统弯扭耦合振动响应以及系统动载荷和振动能量的分布特点，得出了主轴右侧断裂的主要原因。为解决传统粒子群优化 (Particle Swarm Optimization，PSO)算法易陷于局部最优解问题，通过调整算法参数和粒子变异提出一种改进的PSO算法。然后，针对主轴断裂原因，采用改进的PSO算法，以系统的波动扭矩和扭转振动能量为优化目标，对传动主轴结构参数进行多目标优化，并利用模糊集合理论对优化得到的Pareto最优解集进行选优。仿真结果表明，优化后的主轴左右两侧趋近于等强度设计，系统的扭转振动响应达到一个最优的平衡，主轴左侧的波动扭矩虽有所增加，扭转振动能量保持不变，但出现断裂故障的右侧波动扭矩幅值下降25%左右，右侧扭转振动能量下降15%左右，优化效果明显。

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	张运涛1
	李以农1
	张志达1
	罗法氿1
	王成2

关键词 ：传动主轴, 弯扭耦合, 多目标优化, 粒子群算法

Abstract：In order to solve the problem of unequal strength design on both sides of the main shaft due to the structural layout limitation of the special vehicle transmission system, the nonlinear vibration model of the system is established by using the lumped mass method considering the internal and external excitation of the main shaft bearing system. Based on the established model, Runge-Kutta is used to simulate the bending torsional coupling vibration response of the system and the distribution characteristics of dynamic load and vibration energy under steady-state conditions. The main reason for the fracture of the right side of the spindle is analyzed. In order to solve the problem that the traditional PSO(Particle Swarm Optimization) algorithm is easy to fall into the local optimal solution, an improved PSO algorithm is proposed by adjusting the algorithm parameters and particle mutation. Then, according to the reason of spindle fracture, the improved multi-objective PSO algorithm is used to optimize the structural parameters of the transmission spindle with the fluctuating torque and torsional vibration energy of the system as the optimization objectives, and the Pareto optimal solution set obtained from the optimization is optimized by using the fuzzy set theory. The simulation results show that the left and right sides of the spindle approach to the same strength design after optimization, and the torsional vibration response of the system reaches an optimal equilibrium position. Although the fluctuating torque on the left side of the spindle increases and the torsional vibration energy remains unchanged, the amplitude of the fluctuating torque on the right side decreases by about 25% and the torsional vibration energy on the right side decreases by about 15%.The optimization effect is obvious.

Key words： transmission spindle bending-torsional coupling multi-objective optimization particle swarm algorithm

收稿日期: 2020-07-27 出版日期: 2022-01-28

引用本文:

张运涛1，李以农1，张志达1，罗法氿1，王成2. 基于改进粒子群算法的非对称传动主轴多目标优化[J]. 振动与冲击, 2022, 41(2): 130-139.
ZHANG Yuntao1，LI Yinong1，ZHANG Zhida1，LUO Fajiu1，WANG Cheng2. Multi objective optimization of an asymmetric transmission spindle based on improved particle swarm optimization. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(2): 130-139.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I2/130

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