基于Kriging代理模型的主轴箱稳健设计  

Robust Design of Headstock Based on Kriging Surrogate Model

作　　者：陈永亮[1] 刘双[1] 王汉涛[1] 张健[2] 顾佩华[2] 

机构地区：[1]天津大学机械工程学院,天津300072 [2]汕头大学工学院,汕头510063

出　　处：《天津大学学报》2011年第12期1111-1117,共7页Journal of Tianjin University(Science and Technology)

基　　金：广东省自然科学基金资助项目(8351503101000001);广东省重大科技专项资助项目(2009A080202010)

摘　　要：为了建立复杂工程问题性能变量和设计变量之间的解析关系从而对其进行稳健设计,提出基于Kriging代理模型的分析性稳健设计方法,即"确定参数-正交试验-代理模型-稳健优化-验证"的设计过程.然后以主轴箱的稳健设计为例,以Matlab工具箱和自编的稳健设计软件为工具检验了所提出的方法.建立的代理模型中各个响应变量的最大相对均方根误差为5.89%.用有限元方法对稳健设计结果进行验证,结果表明该设计方法可以得到与实际情况吻合的稳健分析及优化结果.In order to establish an analytical relationship between performance variables and design variables for robust design of complex engineering systems, an analytical robust design method based on Kriging surrogate model was proposed, which is essentially a design process of ＂defining parameters-orthogonal test-surrogate model-robust optimization-verification＂. The headstock design was used as an example to verify this method, with Matlab and robust design software programmed as calculation tools. The acquired maximum error of the fitting formula is 5.89 %. The finite element verification results indicate that the design method can achieve the robust and optimal results, which are consistent with the actual situation.

关 键 词：稳健设计 主轴箱 动静刚度 KRIGING模型 代理模型 

分 类 号：TP311.13[自动化与计算机技术—计算机软件与理论]