【摘要】 气体轴承是一项应用广泛的新技术,它的压力场将满足非线性Reynolds方程.本文将给出求解Reynolds方程的两种计算法——守恒型格式与有限元法,它们都比传统的有限差分法~[1]合理.其次,本文证明了非线性有限元(含有积分误差)有如同线性时的误差估计,又它比守恒型格式灵活,因而在求解Reynolds方程时值得推荐.更多还原

【Abstract】 In gas bearings, pressure distribution is governed by the Reynolds equation. Two numerical methods--Conservation Scheme and Finite Element Method (i.e. F.E. M.) are provided in this paper. They are more reasonable than Finite Difference Method. In addition, it is proved in this paper that the error estimates of the Nonlinear F. E. M. Containing quadrature error are the same as those of the LinearF. E. M. Therefore, author recommends the F. E. M. on account of its sound theory and flexibility in solving Reynolds equation.更多还原