有限长轴承非稳态油膜力自由边界问题数值解法  

Oil-film force computation of dynamically loaded finite bearing

作　　者：吕和祥[1] 康晓云[1] 

机构地区：[1]大连理工大学工程力学系,辽宁大连116024

出　　处：《大连理工大学学报》2002年第2期144-147,共4页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目 (重大项目 19990 5 10 )

摘　　要：讨论了不可压缩流体润滑的动载径向滑动有限长轴承油膜压力分布的自由移动边界问题的有限元计算方法 .将自由边界问题转化为全域的具有不等式约束的微分方程边值问题及相应的二次规划问题 ,借助于牛顿非光滑算法迭代求解 ,首次给出了有限长轴承真实的油膜压力分布 .本算法可以用紧缩式的存储方式 ,既节省了存储空间又减少了计算量 .The moving boundary problem in the dynamically loaded finite bearing is solved by the finite element method. The Reynolds differential equation with the free and moving boundary is transformed into the problem of a quadratic programming. By means of Newton-Raphson algorithm with non-smooth derivatives the complementary equations are solved. The true distribution of the oil-film pressure is obtained. The results show that the difference between the full oil-film assumption and the oil-film with the free and moving boundary is obvious. The compact storage scheme, for example, the banded or one-dimension storage format, can be used for saving of the computation costs and the storage spaces.

关 键 词：有限元法 自由动物边界 非光滑算法 有限长轴承 非稳态油膜压力 不可压缩流体润滑 压力分布 数值解法 

分 类 号：TH117.2[机械工程—机械设计及理论] O357.1[理学—流体力学]