基于响应面法的微操作平台可靠性稳健设计

发布时间：2018-04-14 09:08

本文选题：微操作平台 + 可靠性　；参考：《振动与冲击》2017年15期

【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]:Taking a new micro-operation platform as an example, considering the random fluctuation of its structural parameters, a new method of reliability robust optimization design based on 6 蟽 robust design idea and response surface method is proposed.The design variables are determined by the screening experimental design method and the response surface model which reflects the performance of the platform is established by using the central combination test design method.Based on this model, the first order second moment method is used to obtain the performance index of platform reliability and robustness, that is, the probability distribution and reliability of platform displacement magnification, natural frequency and reliability sensitivity.Based on the idea of 6 蟽 robust design, a robust optimization model is established, which aims at the robustness of the platform displacement magnification, natural frequency and reliability sensitivity, and the reliability of the platform is constrained. The sequential quadratic programming method is used to optimize the platform.By comparing and analyzing the results of robust optimization and deterministic optimization, we can see that the variance of displacement magnification, natural frequency and reliability sensitivity of the platform is reduced by 40.9 / 49.4/ 33.6, and the reliability is improved from 61.36% to 99.78, respectively, and the design requirements of robust reliability optimization are realized.The validity of the design idea and the theoretical model is illustrated.
【作者单位】：江西理工大学机电工程学院;
【基金】：国家自然科学基金(51265016;51565016)
【分类号】：TH122

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