基于响应面法的微操作平台可靠性稳健设计  

Reliability-based robust design of a micro-manipulation Stage with response surface method

作　　者：胡俊峰[1] 杨展宏 徐贵阳[1] 

机构地区：[1]江西理工大学机电工程学院,江西赣州341000

出　　处：《振动与冲击》2017年第15期245-252,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(51265016;51565016)

摘　　要：以一种新型微操作平台为对象,考虑其结构参数的随机波动,提出一种基于6σ稳健设计思想和响应面法的可靠性稳健优化设计思路。采用筛选实验设计方法确定设计变量,采用中心组合试验设计方法建立反映平台性能指标的响应面模型。基于该模型采用一次二阶矩法得到反映平台可靠性和稳健性的性能指标,即平台位移放大倍数、固有频率和可靠性灵敏度的概率分布及可靠度。基于6σ稳健设计思想建立以平台位移放大倍数、固有频率和可靠性灵敏度的稳健性为目标,平台可靠度为约束的可靠性稳健优化模型,采用序列二次规划法对平台进行优化。将稳健优化和确定性优化结果进行比较分析可知,平台位移放大倍数、固有频率和可靠性灵敏度的方差分别减小了40.9%、49.4%、33.6%,可靠度由61.36%提高到99.78%,实现了可靠性稳健优化的设计要求,说明了设计思路和理论模型的有效性。A novel micro-manipulation stage was taken as a design object,a reliability-based robust optimization design method was proposed based on the 6σ robust design idea and the response surface method considering random fluctuations of its structural parameters. The design variables were determined with screening tests. The response surface model reflecting the stage's performance indexes was built with the central composite design. Based on this model,the first-order second moment method was used to obtain performance indexes to reflect the stage's reliability and robustness,they are probability distributions of the stage's displacement amplification factor,its natural frequencies and its reliability sensitivity and the stage's reliability. Based on the 6σ robust design idea,the stage's reliability-based robust optimization model was established taking robustness of the stage's displacement magnification factor,its natural frequencies and its reliability sensitivity as the objective,and the stage's reliability as the constraint. The sequential quadratic programming method was adopted to solve this optimization problem. Comparing the results of this robust optimization with those of the deterministic one,it was shown that the variances of the stage's displacement magnification factor,its natural frequencies and its reliability sensitivity decrease by 40. 9%,49. 4% and 33. 6%,respectively; the stage's reliability increases from61. 36 % to 99. 78 %; so the proposed design meets the design requirements of reliability-based robust optimization,the effectiveness of the proposed design idea and theoretical model is verified.

关 键 词：微操作平台 可靠性 稳健设计 响应面法 实验设计 

分 类 号：TH122[机械工程—机械设计及理论]