摘要
建立了综合考虑齿侧间隙、时变啮合刚度、综合啮合误差等因素的直齿轮副的单自由度非线性动力学模型,利用变步长Runge-Kutta法对单自由度运动微分方程进行数值求解.结合系统的分岔图、相图、Poincare映射图以及FFT频谱图,分析了系统在不同侧隙值下,阻尼比变化时的动力学特性,得到了系统的混沌运动形成过程.
A nonlinear dynamic model for a spur gear pair system was established wherein the backlash and the time-varying stiffness and the transmission error were considered.The nonlinear single-degree-of-freedom equations were solved by employing the variable step-size Runge-Kutta integration method.The nonlinear dynamic characteristics of the system were discussed for different clearance values based on bifurcation diagrams, phase portraits,Poincare maps and Fourier spectra.Finally,the chaotic motion was obtained.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第2期117-121,共5页
Journal of Lanzhou University(Natural Sciences)
基金
甘肃省自然科学基金项目(0803RJZA012)
兰州交通大学青年科学基金项目(2011016)
关键词
非线性动力学
混沌
分岔
齿轮
nonlinear dynamic
chaos
bifurcation
gear
