分岔图
分叉
控制理论(社会学)
非线性系统
李雅普诺夫指数
反冲
联轴节(管道)
吸引子
振动
传动系统
理论(学习稳定性)
灵敏度(控制系统)
传输(电信)
数学
计算机科学
物理
数学分析
工程类
声学
机械工程
电信
控制(管理)
量子力学
人工智能
机器学习
电子工程
作者
Suixian Liu,Aijun Hu,Yue Zhang,Ling Xiang
标识
DOI:10.1142/s0218127422500961
摘要
A nonlinear dynamic model for a multistage planetary gear transmission system, which consists of two-stage planetary gear plus one-stage parallel shaft gear, is proposed. The time-varying meshing stiffness, comprehensive meshing errors and backlash between gear pairs are taken into account in the model, and the connections between the gear stages are characterized by coupling stiffness. The dimensionless vibration differential equations of the system are derived and solved numerically. By means of global bifurcation diagram, largest Lyapunov exponent (LLE), phase diagram and Poincaré map, the stability of the system is studied with the bifurcation parameters variation including excitation frequency and comprehensive meshing errors. The results demonstrate that the system presents strange attractors with rich forms under different parameter combinations. With the increase of the excitation frequency, the meshing state of the system changes, showing a complex motion and indicating the sensitivity of the system to external excitation. Under the variation of the bifurcation parameter of comprehensive meshing error, the complex dynamic behavior of the system is observed, it is found that the increase of comprehensive meshing error has a negative impact on the stability of the system.
科研通智能强力驱动
Strongly Powered by AbleSci AI