轴向载荷激励下弹性盘轴转子系统的非线性动力稳定性分析

Nonlinear Dynamic Stability for Elastic Shaft-Disc Rotating System Under the Periodic Axial Load

利用拉格朗日方程,在考虑轴和盘的质量和轴的几何非线性的情况下,建立了在周期轴向载荷参数激励下具滑动轴承支承弹性盘轴转子系统的非线性动力学方程.采用假设模态法对系统进行离散,基于Lyapunov运动稳定性理论和Floquet判据,利用谐波平衡法和数值方法,对系统线性和非线性动力稳定性进行了分析,得出了系统的非线性主动力不稳定区,讨论了多种因素对系统主动力不稳定区的影响,得出了一些有益的结论,并与有关文献进行了比较.

By using the Lagrange equations, the nonlinear governing equations of motion for the rotating elastic shaftdisc system with sliding supported condition are obtained under the axial periodic forces. The effects of the mass of shaft and disc and the geometrical nonlinearity are included. An assumed modes method is developed to investigate the system, and based on the Lyapunov theory and Floquet criterion and using the HBM method and numerical methods, the linear and nonlinear dynamic stabilities for the system are investigated. The influences of different factors on the principle region of instability are discussed. Present results are compared with available data. 