支承阻尼对多自由度齿轮系统非线性动力学的影响

发布时间：2018-04-15 14:25

本文选题：齿轮副 + 非线性动力学　；参考：《振动与冲击》2017年19期

【摘要】：基于周期扩大法的思想,在考虑齿轮副间的时变啮合刚度、齿侧间隙、齿面摩擦等非线性因素的基础上,建立了齿轮副的六自由度非线性动力学模型;采用数值积分方法求解系统响应,结合分岔图、poincaré截面图、FFT频谱及最大李雅普诺夫指数图(Largest Lyapunov Exponent,LLE),系统地分析了支承阻尼对齿轮系统的影响。结果发现:支承阻尼的提高对系统的混沌吸引子和吸引域有着明显影响,会使其逐渐减小,并使系统的混沌运动逐步退化稳定的周期运动,进而使系统的分岔特性变得更为复杂;随着支承阻尼的提高,系统在径向和扭转方向的1/2次谐振幅度有所降低;支承阻尼对轮齿的啮合的状态有着重要影响,在一定转速区可使系统发生双边冲击到单边冲击的变化。
[Abstract]:Based on the idea of periodic expansion method, the nonlinear dynamic model of gear pair with six degrees of freedom is established on the basis of considering the nonlinear factors such as the time-varying meshing stiffness, the tooth side clearance and the tooth surface friction.The system response is solved by numerical integration method. The effect of bearing damping on gear system is analyzed systematically by combining the point car 茅 section of bifurcation diagram with FFT spectrum and the maximum Lyapunov exponent diagram.The results show that the increase of support damping has a significant effect on the chaotic attractor and attraction region of the system, which will gradually decrease and make the chaotic motion of the system degenerate into stable periodic motion.Furthermore, the bifurcation characteristics of the system become more complicated. With the increase of the supporting damping, the amplitude of the second resonance in the radial and torsional direction of the system decreases, and the bearing damping has an important effect on the meshing state of the gear teeth.In a certain speed range, the system can change from bilateral impact to unilateral impact.
【作者单位】：华北电力大学(保定)机械工程系;
【基金】：国家自然科学基金资助项目(51475164) 河北省自然科学基金(E2013502226)
【分类号】：TH132.41

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