Multi-objective optimization of micro-manipulation stage based on response surface method

HU Jun-feng; XU Gui-yang; HAO Ya-zhou

doi:10.3788/OPE.20152304.1096

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Multi-objective optimization of micro-manipulation stage based on response surface method

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- Multi-objective optimization of micro-manipulation stage based on response surface method
- Optics and Precision Engineering Vol. 23, Issue 4, Pages: 1096-1104(2015)
- 作者机构：
  
  江西理工大学机电工程学院,江西赣州,341000
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20152304.1096
  CLC： TH703;TP274
- Received：20 September 2014，
  
  Revised：07 November 2014，
  
  Published：25 April 2015
- 稿件说明：
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胡俊峰, 徐贵阳, 郝亚洲. 基于响应面法的微操作平台多目标优化[J]. 光学精密工程, 2015,23(4): 1096-1104

HU Jun-feng, XU Gui-yang, HAO Ya-zhou. Multi-objective optimization of micro-manipulation stage based on response surface method[J]. Editorial Office of Optics and Precision Engineering, 2015,23(4): 1096-1104
胡俊峰, 徐贵阳, 郝亚洲. 基于响应面法的微操作平台多目标优化[J]. 光学精密工程, 2015,23(4): 1096-1104 DOI： 10.3788/OPE.20152304.1096.

HU Jun-feng, XU Gui-yang, HAO Ya-zhou. Multi-objective optimization of micro-manipulation stage based on response surface method[J]. Editorial Office of Optics and Precision Engineering, 2015,23(4): 1096-1104 DOI： 10.3788/OPE.20152304.1096.

摘要

为了提高微操作平台的操作空间和动态性能

基于响应面法对一种新型微操作平台进行了多目标优化设计。采用中心组合设计方法选取仿真试验点

根据试验点建立平台的参数化几何模型

应用软件ANSYS对平台进行静力学和模态分析得到其固有频率、位移放大倍数和最大应力的响应值。根据所得的仿真试验数据

采用最小二乘法和显著性检验建立反映平台性能指标的二阶多项式响应面模型。最后

计算了反映响应面拟合度的评价指标

验证了所建响应面模型的精确性。以微操作平台的放大倍数和固有频率为优化目标

强度为约束

建立了平台的多目标优化模型

采用多目标遗传算法对平台进行优化得到Pareto解集。从Pareto解集可知

固有频率与放大倍数之间是相互冲突的

故需权衡固有频率和放大倍数从Pareto解集选取最优解。比较优化前后平台的各性能指标可知

平台的固有频率增大了35.58 %

放大倍数增大了2.33 %

最大应力减小了38.97 %

证明了提出的优化方法的有效性。

Abstract

To improve the operating space and dynamic characteristics of micro-manipulation stages

the multi-objective optimization design was performed for a new micro-manipulation stage based on response surface method. The central composite design method was used to select test points and the parametric geometric modeling of the stage was built based on the test points. The software ANSYS was uesd to carry out statics and modal analysis to obtain the response values of natural frequency

displacement amplification ratio and the maximum stress of the stage. Then

the least square method and the test of significance were employed to build the two-order polynomial response surface model to reflect the performance index of the stage according to the simulation test data. The evaluation indexes reflecting fitting degree of the response surface were calculated to illustrate the veracity of the proposed response surface model. Furthermore

a multi-objective optimization model of micro-manipulation stage was established by taking the displacement magnification and the natural frequency as object functions

the strength as the constraint. The multi-objective genetic algorithm was taken to obtain Pareto solution set. The Pareto solution show that the natural frequency is in conflict with amplification ratio of the stage

so the optimal solution is chosen from Pareto set by weighing the natural frequency and amplification ratio. The comparative analysis of the performance indexes of the stage before and after optimizations shows that the natural frequency and the magnification ratio increase by 35.58 % and 2.33 %

respectively

and the maximum stress decreases by 38.97 %. It illustrate that the proposed optimization method is effective.

关键词

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