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具不对称粘弹性支承弹性盘轴转子系统的非线性动力稳定性分析
引用本文:陈昌萍,傅衣铭. 具不对称粘弹性支承弹性盘轴转子系统的非线性动力稳定性分析[J]. 固体力学学报, 2003, 24(4): 475-480
作者姓名:陈昌萍  傅衣铭
作者单位:湖南大学工程力学系,长沙,410082;湖南大学工程力学系,长沙,410082
摘    要:考虑轴和盘的质量及轴的几何非线性,建立了在周期轴向载荷作用下具不对称粘弹性支承弹性盘轴转子系统的非线性动力学方程.基于Lyapunov运动稳定性理论和Floquet判据,对系统的线性和非线性动力稳定性进行了分析.

关 键 词:转子系统  粘弹性支承  非线性动力稳定性
修稿时间:2002-04-11

ANALYSIS OF NONLINEAR DYNAMIC STABILITY FOR ELASTIC SHAFT-DISC ROTATING SYSTEM WITH UNSYMMETRICAL VISCOELASTIC SUPPORTED CONDITION
Chen Changping Fu Yiming. ANALYSIS OF NONLINEAR DYNAMIC STABILITY FOR ELASTIC SHAFT-DISC ROTATING SYSTEM WITH UNSYMMETRICAL VISCOELASTIC SUPPORTED CONDITION[J]. Acta Mechnica Solida Sinica, 2003, 24(4): 475-480
Authors:Chen Changping Fu Yiming
Abstract:Considering the effects of the mass of shaft and disc and the geometrical nonlinearity, the nonlinear governing equations of motion for the rotating elastic shaft-disc system with unsymmetrical viscoelasticty supported condition are obtained under the axial periodic forces. Based on the Lyapunov theory and Floquet criterion, the linear and nonlinear dynamic stabilities for the system are investigated.
Keywords:rotating system   viscoelastic supports   nonlinear dynamic instability
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