摘要
考虑了不对称刚性转子的陀螺效应,建立了转子—轴承系统的动力学模型。将Wilson-θ法改进并结合预估—校正机理,得到了一种求解转子—轴承系统非线性动力学响应的方法。运用该方法求解了不对称刚性转子—轴承系统的非线性动力响应,将计算结果与Runge-Kutta法的计算结果进行比较,表明该方法具有很高的精度。运用Floquet分岔理论分析了系统周期运动的稳定性及其分岔行为。
The model of unsymmetrical rigid rotor-bearing system is established with the gyroscopic effect taken into consideration.A method consisting of improved Wilson-θ method and the predictor-corrector mechanism is suggested to determine the nonlinear dynamic response of rotor-bearing system.Nonlinear dynamic responses of unsymmetrical rigid rotor-bearing system are obtained using the proposed method.It is shown that the proposed method has high accuracy by comparison of the calculated results with those by Runge-Kutta method.The stability and bifurcation of the periodic motion of the system are analyzed using the Floquet bifurcation theory.
出处
《西安理工大学学报》
CAS
北大核心
2010年第1期13-19,共7页
Journal of Xi'an University of Technology
基金
国家重点基础研究发展计划资助项目(2007CB707706)
国家自然科学基金资助项目(10972179)
陕西省自然科学基金资助项目(2009JQ7006
2007E203)
陕西省教育厅科学技术研究计划资助项目(09JK680
07JK340)
关键词
陀螺效应
非线性响应
稳定性
分岔
gyroscopic effect
nonlinear periodic response
stability
bifurcation
