采用通用膜厚方程的动压径向轴承形状优化  

Shape Optimization for Hydrodynamic Journal Bearings Based on General Film Thickness Equation

作　　者：庞晓平[1] 陈进[1] 王家序[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400030

出　　处：《西安交通大学学报》2009年第1期57-61,共5页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(50775230)

摘　　要：针对目前动压轴承形状优化的局限性,提出了一种不受现有形状约束的新方法.采用傅里叶级数形式的通用膜厚方程表征任意可能的轴承形状,以最大承载力为目标函数,通用膜厚方程级数系数为设计变量,以及最小油膜厚度为限制条件,建立了动压轴承形状的优化统一数学模型,并用遗传算法进行形状优化,将极值问题通过对可变项级数系数的参数优化逐次逼近.与传统的形状优化方法相比,优化后的轴承形状突破了现有轴承形状的制约,使轴承承载力得到了显著提高.For the limitations as using the well-known film thickness equation in shape optimization, a new approach for shape optimization of hydrodynamic journal bearing following the general film thickness equation was proposed. The uniform mathematical model of optimization was derived, which took a maximum load capacity as an objective, and the coefficients of the general film thickness equation as design variables with consideration of a minimum film thickness. The Fourier series was adopted to represent the general film thickness equation, and the principal efforts were associated with determination of the Fourier coefficients to achieve the reasonably optimal performance. The optimal results produced with genetic algorithms verify that this new method for optimizing the hydrodynamic journal bearing shapes outperforms the methods in previous publications, and the optimized shapes proposed here breaks the limitation in existing bearing profiles.

关 键 词：动压径向轴承 形状优化 通用膜厚方程 

分 类 号：TH133.37[机械工程—机械制造及自动化]