摘要
滑动轴承的油膜力,特别在雷诺边界条件下,并不存在解析解。一般采用有限差分方法或迭代算法求解方 程,因计算量偏大不适合轴承非线性动力分析。针对滑动轴承轴瓦形状比较规则和轴向压力分布较为简单的特点, 把二维变分不等方程降阶为一维形式,并提出一维变分不等方程的直接解法,无需迭代便可求出节点压力及油膜 破裂边界。与二维有限元互补算法相比,直接解法误差小于百分之一,而且其运算时间也仅为其百分之一。
It is common knowledge that there exists no the closed form of the bearing forces especially under Reynolds boundary condition. The unsteady Reynolds equation has to be solved generally by the methods such as finite differential method and iterative method which are rather time consuming in the nonlinear dynamic analysis of sliding bearing. According to the regular form of the tiles of journal bearings and the simple solution of the axial pressure distribution, the two- dimensional variational inequality can be decreased to the one-dimensional problem and a direct solution method is presented. No iteration process is needed to solve the pressure of nodal points and the bounds of cracked oil film. Compared with the results of two-dimensional finite elements method's algorithm, this error decreases to about one percent and the computing time of the direct percent solution method can also be reduced to one percent
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2005年第2期51-56,共6页
Journal of Mechanical Engineering
基金
国家自然科学基金(19990510)国家重点基础规划基金(G1998020316)资助项目
关键词
滑动轴承
直接解法
一维变分不等方程
Sliding bearing Direct solution method One-dimensional variational inequality
