噪声与振动控制2017，Vol.37Issue(5)：50-54,159,6.DOI:10.3969/j.issn.1006-1355.2017.05.011
考虑支撑间隙的齿轮系统动力学响应分析
Dynamic Response Analysis of Gear Systems with Support Clearance Considered
摘要
Abstract
The third grade gear pair of the twin-shaft transmission system is taken as the research object. The driven gear and the output shaft are connected by a spline. Due to the manufacturing error and the assembly error, the support clearance in the center of the driven gear is inevitable which will affect the dynamic characteristics of the gear transmission system. In this paper, the contact state and the friction characteristics of the connection between the gear and the transmission shaft are simulated by the double-state model. The dynamic differential equations are established considering the nonlinear factors such as time-varying meshing stiffness, backlash and comprehensive tooth frequency error. The state equations are solved by the Runge-Kutta method with variable step size. With the help of the phase diagram, Poincare section and power spectrum density diagram, the influences of the clearance on the dynamic characteristics of the gear system are analyzed. Numerical results of the example show that with the increase of the clearance, the transmission error on the gear meshing line changes gradually from single periodic motion to chaotic motion, the displacement response of the driven wheel changes from single periodic motion to quasi-periodic motion and then returns to single periodic motion. The clearance pair shows an obvious unilateral contact state when the clearance value is too large.关键词
振动与波/齿轮系统/支撑间隙/非线性动力学/二状态法Key words
vibration and wave/gear system/support clearance/nonlinear dynamics/double-state model分类
机械制造引用本文复制引用
张将,秦训鹏,陈浩冉..考虑支撑间隙的齿轮系统动力学响应分析[J].噪声与振动控制,2017,37(5):50-54,159,6.基金项目
武汉理工大学研究生优秀学位论文培育资助项目(2016-YS-050) （2016-YS-050）
