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非线性弹性碰摩转子周期运动稳定性分析
Stability Analysis of Periodic Motion of Nonlinear Elastics Rotor System with Rub-impact Fault
【摘要】 在同时考虑轴承油膜力、转轴非线性弹性力和碰摩发生时转静件间的相对速度对非线性摩擦力的影响基础上,构造了具有碰摩故障转子-轴承系统的动力学模型。利用求解非线性非自治系统周期解的延拓打靶法和Floquet理论,研究了系统周期运动的稳定性,分析了非线性摩擦力对系统动力学特性的影响。
【Abstract】 Taking into consideration nonlinear oil-film force, nonlinear elastic force and influence of nonlinear friction force,we established a dynamic model for the rotor-bearing system with rub-impact fault.Using the continuation-shooting algorithm for the periodic solution of a nonlinear non-autonomous system and the floquet theory,we studied the stability of the system′s periodic motion,and analyzed the influence of the nonlinear friction force on nonlinear dynamic characteristics of the rotor-bearing system.
【关键词】 转子-轴承系统;
非线性弹性;
碰摩;
稳定性;
分岔;
混沌;
【Key words】 rotor-bearing system; nonlinear elastics; rub-impact fault; stability; bifurcation; chaos;
【Key words】 rotor-bearing system; nonlinear elastics; rub-impact fault; stability; bifurcation; chaos;
【基金】 国家自然科学基金项目(50775025)资助
- 【文献出处】 机械科学与技术 ,Mechanical Science and Technology for Aerospace Engineering , 编辑部邮箱 ,2007年10期
- 【分类号】O347.6
- 【被引频次】4
- 【下载频次】216