摘要
运用变分约束原理求解固定瓦–可倾瓦滑动轴承的非线性油膜力,根据油膜的物理特性,在动力积分、迭代过程中实时形成修正的Reynolds方程变分形式的有限元方程及其扰动方程,使其等价为变分不等式。运用八节点等参有限元方法,求解修正的变分形式的有限元及其扰动方程,计算了单块瓦坐标系下的油膜力,在几乎不增加计算量的情况下,使得单块瓦坐标系下的油膜力的Jacobi矩阵同时计算完成,并且具有协调一致的精度。通过组装技术得到固定瓦–可倾瓦滑动轴承的非线性油膜力,刚度和阻尼系数。运用Poincaré映射和Runge-Kutta方法得到固定瓦–可倾瓦滑动轴承支承的对称刚性转子系统的不平衡响应,分析轴瓦的支点位置和预负荷对转子的稳定性的影响,数据结果展现了固定瓦–可倾瓦轴承转子系统的周期解、倍周期解和准周期解等丰富复杂的非线性现象。
The variational constraint approach was used to calculate the nonlinear oil force of fixed-tilting pad journal bearings.According to the physical characteristics of the oil film,an isoparametric finite element with eight nodes method was used to convert the Reynolds equation.This is done continuously to the discrete form of finite dimensional algebraic variational equations and their disturbation equations satisfying certain constraint conditions.The nonlinear oil force of a single pad is calculated by the proposed method in its coordinate system,and its Jacobi matrix was calculated simultaneously and compatiable accuracy was obtained.The oil force,damping,and stiffness coefficients of the bearing were obtained by the assembly method.The unbalanced responses of the symmetrical rigid rotor dynamic system supported by fixed-tilting pad journal bearings were analyzed by the Runge-Kutta method and a Poincaré map.The effects of pivot ratio and the preload on stability of the rotor were analyzed.The numerical results reveal complex nonlinear behaviors of the system,such as periodic,period-doubling,quasi-periodic motion,etc.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2010年第20期79-87,共9页
Proceedings of the CSEE
基金
国家重点基础研究发展计划项目(973计划)(2007CB707706)
国家高技术研究发展计划项目(863计划)(2007AA050501)
陕西省自然科学基金(2009JQ7006
2007E203)
陕西省教育厅科学研究计划(09JK680)
西安理工大学科学研究计划资助项目(104-210806)~~
关键词
非线性
固定瓦–可倾瓦轴承
转子系统
分岔
nonlinear
fixed-tilting pad journal bearing
rotor system
bifurcation
