摘要
为研究陀螺仪滚动轴承-转子系统的非线性动力特性,建立了考虑非线性轴承力、变柔度等因素的滚动轴承-转子系统动力学方程,并用Runge-Kutta算法求解系统在不同参数下的分岔图、Poincaré图、频谱图、相图和轴心轨迹,依据系统的最大Lyapunov指数验证系统的非线性特性,结果表明:随着转子系统结构和工作参数的变化,系统响应中表现出丰富的周期和非周期(拟周期或混沌)振动,并且存在倍周期分岔的现象;选择合理的参数可有效提高系统的稳定性。
To study nonlinear dynamic characteristics of rolling bearing - rotor system for gyroscope, a dynamic equation is given for rolling bearing - rotor system, considering factors such as varying compliance and nonlinear bearing force. The bifurcation diagrams, Poincare maps, frequency spectrums, phase diagrams and axis center orbit of system under different parameters are solved by Runge - Kntta algorithm, and the nonlinear characteristics of system is verified according to maximum Lyapunov exponent of system. The results show that the rich periodic, non - periodic （ quasi - periodic or chaotic） vibrations and period doubling bifurcation phenomenon exist in system response with the variation of rotor system structure and working parameters. The stability of system is effectively improved by selecting reasonable parameters.
出处
《轴承》
北大核心
2015年第2期30-34,共5页
Bearing
基金
国家自然科学基金项目(51075124)
河南科技大学自然科学领域创新能力培育基金项目(2013ZCX001)
