基于响应面法的微操作平台可靠性稳健设计

胡俊峰,杨展宏,徐贵阳

振动与冲击 ›› 2017, Vol. 36 ›› Issue (15) : 245-252.

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (15) : 245-252.
论文

基于响应面法的微操作平台可靠性稳健设计

  • 胡俊峰,杨展宏,徐贵阳
作者信息 +

Reliability-based Robust Design of Micro-manipulation Stage Based on Response Surface Method

  • HU Jun-feng,YANG Zhanhong , XU Gui-yang
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文章历史 +

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。

Abstract

As for a novel micro-manipulation stage, a reliability-based robust optimization design method was proposed based on 6σ robust design and response surface method considering the random fluctuations of its structural parameters. The design variables were determined by using screening experiment. The response surface models, which reflect performance indexes of stage, were built by using the central composite design. The first-order second moment method was used to obtain the robustness and reliability indexes of the stage based on the model, such as the probability distribution of the displacement amplification factor, natural frequency and reliability sensitivity, and reliability. Based on the six sigma robust design, the reliability-based robust optimization model was proposed as the robustness of the displacement magnification factor, the natural frequency and the reliability sensitivity for the objective, and the reliability of the stage for constraint. The sequential quadratic programming method is adopted to solve the optimization problem. Comparing the results of the robust optimization with deterministic one, the results showed that the variance of the displacement magnification, the natural frequency and reliability sensitivity of the stage were reduced by 40.9%, 49.4% and 33.6% respectively, and the reliability increased from 61.36 % to 99.78 %. Thus, it meets the design requirements of reliability-based robust optimization, and it illustrated that the proposed design ideas and theoretical model are effective.
 

关键词

微操作平台 / 可靠性 / 稳健设计 / 响应面法 / 实验设计

Key words

micro-manipulation stage / reliability-based / robust design / response surface method / design of experiment

引用本文

导出引用
胡俊峰,杨展宏,徐贵阳. 基于响应面法的微操作平台可靠性稳健设计[J]. 振动与冲击, 2017, 36(15): 245-252
HU Jun-feng, YANG Zhanhong,XU Gui-yang. Reliability-based Robust Design of Micro-manipulation Stage Based on Response Surface Method[J]. Journal of Vibration and Shock, 2017, 36(15): 245-252

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