Abstract: Based on the variational theory, the amended Reynolds equation of water guide bearing in turbulent regime is transformed to functional extreme value problem. Using the products of weight function and linear interpolation function as pressure function, onedimensional finite element algorithm for calculating load force and its Jacobi matrix is proposed. The umerical results show that this method can reduce the computing time remarkably with the precision guaranteed.

Key words: vibration and wave, water guide bearing, turbulent, variational principle, finite element method

摘要：

基于变分原理，把湍流工况下水导轴承修正的Reynolds方程转化为一个泛函极值问题，采用权函数和线性插值函数乘积作为压力函数，提出计算承载力及其Jacobi矩阵的一维有限元直接求解算法。算例表明，算法不仅结果精度能得到保证，而且运算时间可以大为缩短。

关键词: 振动与波, 水导轴承, 湍流, 变分原理, 有限元