最大刚度下单供气孔静压球面气体轴承的参数优化初探  

On the Optimization of the Stiffness of Externally Pressurized Spherical Gas Bearing with Single Orifice

作　　者：郭良斌[1] 杨祯龙[1] 

机构地区：[1]武汉科技大学机械自动化学院,湖北武汉430081

出　　处：《润滑与密封》2008年第11期41-45,共5页Lubrication Engineering

基　　金：湖北省自然科学基金资助项目(2006ABA289)

摘　　要：按照已知承载力求最大静刚度的设计准则,采用不可压缩流简化,建立了显含球轴承4个结构参数(气腔包角θ0、球窝包角θ1、供气孔直径d以及球半径R)的刚度计算表达式;利用静压气体球轴承的相似原理,将设计变量进一步缩减至3个(θ0、θ1、d);约束条件考虑了小孔节流器的实现条件、稳定性工作条件及加工制造限制条件等。选择适用于不等式约束的复合形法作为优化算法,编制了优化计算的MATLAB程序。优化结果与20世纪60年代美国格鲁曼公司制造使用的气体球轴承的结构参数完全一致。In accordance with the design criteria of the largest stiffness with the known load, adopting simplified incompressible flow assumptions, the explicit expression of the stiffness which includes four ball bearing structure parameters （ recess wrap angle θ0, socket wrap angle θ1, orifice diameter d and radius of sphere R） was established. The similitude criteria of externally pressurized spherical gas bearing was used to reduce the design variables to three （θ0 ,θ1 ,d）. The constraints included the realization of conditions of the orifice compensation, stability working conditions and the limitation of manufacture processing and other restrictions. The complex method was selected as the optimization algorithm, which is suitable to inequality constraints, and the optimal program in MATLAB was established. The results were exactly in line with structure parameters of the spherical gas bearings which were manufactured by Grumman Co. of United States in the 1960s.

关 键 词：小孔节流 静压气体球轴承 复合形法 优化设计 

分 类 号：TH113.36[机械工程—机械设计及理论]