摘要
研究了非线性径向轴承支承的转子系统的动力行为。引入变分约束原理修正了流体润滑的Reynolds方程的变分形式 ,在几乎不增加计算量的情况下 ,求解了具有Reynolds边界的流体润滑问题 ,使得非线性油膜力及其Jacobian矩阵同时计算完成并且具有协调一致的精度。运用Newton Raphson方法在求得转子平衡点的同时求得了轴承的动力学系数。将预估 校正机理和Newton Raphson方法相结合给出了流体动压滑动轴承 转子系统Hopf分岔点所对应线性失稳转速的计算方法。运用打靶法并结合Floquet理论计算分析了流体动压滑动轴承 转子系统的非线性不平衡周期响应及其稳定性。数值结果表明上述方法不但节约了计算量 ,而且具有很高的精度。
Dynamic behaviors of a rotor system with nonlinear journal bearing supports were analyzed. Variational constrain approach was introduced to revise the variational form of Reynolds equation. Fluid lubrication problem with Reynolds boundary was solved with little increase of computing efforts. Nonlinear oil film forces and their Jacobian matrices were calculated simultaneously and compatible accuracy was obtained. Equilibrium positions of the hydrodynamic journal bearing-rotor system were solved by Newton-Raphson method, and dynamic coefficients of hydrodynamic journal bearing were obtained simultaneously. A continuation of equilibrium position of the hydrodynamic journal bearing-rotor system method consisting of a predictor-corrector mechanism and Newton-Raphson method was presented to calculate critical speed corresponding Hopf bifurcation of the hydrodynamic journal bearing-rotor system. The nonlinear unbalance periodic responses and their stability of the hydrodynamic journal bearing-rotor system were obtained by using shooting method and Floquet theory. The numerical examples show that the schemes of this study not only save computing efforts greatly but also have good precision.
出处
《润滑与密封》
EI
CAS
CSCD
北大核心
2004年第3期6-9,共4页
Lubrication Engineering
基金
国家自然科学基金项目 (5 0 2 75 116)
国家863资助项目 (2 0 0 2AA414 0 60
2 0 0 2AA5 0 3 0 2 0 )
关键词
流体动压润滑
轴承-转子系统
滑动轴承
有限元:稳定性
非线性
Bifurcation (mathematics)
Finite element method
Fluid dynamics
Lubrication
Reynolds number
Rotors
System stability
