GTF减速器柔性传动轴的响应面设计  

Response Surface Design for Flexible Transmission Shaft of GTF Gear Reducer

作　　者：刘超[1] 方宗德[1] Liu Chao;Fang Zongde(School of Mechanical Engineering,Northwestern Polytechnical University,Xi＇an 710072,China)

机构地区：[1]西北工业大学机电学院,陕西西安710072

出　　处：《机械传动》2018年第6期53-57,共5页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51375384)

摘　　要：对GTF减速器的传动轴进行了响应面设计并最终确定了其最优几何参数。首先,使用Python语言在Abaqus平台上开发了柔性轴有限元模型的参数化计算程序。该程序能够自动实现有限元分析的全过程,从而提高了计算效率。其次,采用优化的拉丁超立方抽样方法在设计空间内得到60个采样点,调用参数化程序求得了所有采样点对应的传动轴上最大Von Mises应力值,并以该应力为目标函数建立了响应面优化模型。最后,将最优解反代入有限元模型中再次求解,所得结果验证了该响应面模型的正确性。同理,给出了以刚度为目标函数的响应面模型及其最优解。两种响应面设计方案为工程应用提供了理论依据。The optimal geometric parameters of the flexible shaft in GTF gear reducer are obtained by using response surface design method. Firstly,parameterized programs in Python language are coded based on Abaqus platform for finite element analysis（ FEA） of the shaft,which achieves automatic calculation for higher computation efficiency. Secondly,sixty sampling points in design space are determined by Optimal Latin Hypercube sampling method,and the corresponding values of maximum Von Mises of the shaft are acquired successfully through invoking the programs. Accordingly,the response surface optimization model of the Mises objective function is determined and solved,and it is validated by simulation results of exact finite element model with the optimum solution. Similarly,the response surface optimization results of the stiffness of the shaft are also presented,which provides theoretical foundation for engineering application.

关 键 词：GTF减速器 柔性轴 有限元 参数化建模 响应面设计 

分 类 号：TH132.46[机械工程—机械制造及自动化]