润滑力学中的参变量变分原理──一维单面边界速度滑移问题

Parametric variational principle in lubrication mechanics──One dimensional boundary speed slip occurring on one of lubricated surfaces

给出了一维单面边界速度滑移问题的参变量变分原理，详细讨论了采用有限元法求解时的具体实施过程。原问题最后可化为求解一个参数二次规划问题。文末给出了一个Ｒｅｙｌｅｉｇｈ阶梯轴承有边界速度滑移时的算例。

The parametric variational principle of one dimensional boundary speed slip occurring on one of the two lubricated surfaces is given. The finite element method and its solution process are dis- cussed in detail. The original problem is finally reduced to a parametric quadratic programming. A numerical example of a Reyleigh step bearing with a boundary tangential speed slip is given.