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近似评价函数确定运动极限及其在形状优化中的应用
引用本文:隋允康,张轩,宇慧平.近似评价函数确定运动极限及其在形状优化中的应用[J].计算力学学报,2007,24(4):447-452.
作者姓名:隋允康  张轩  宇慧平
作者单位:北京工业大学,工程数值模拟中心,北京,100022
基金项目:国家自然科学基金 , 北京市自然科学基金
摘    要:针对二维连续体形状优化过程中解析灵敏度求解困难的情况,利用响应面方法将目标函数和约束函数近似显式化,建立序列二次规划模型。为了保证优化模型的可靠性,结合试验设计方法,以较少的结构分析代价构造约束响应面,从而能够快而稳定地收敛,本文重点研究并建立了二次近似评价函数用以计算自适应运动极限的策略。算例说明这种策略是有效而稳定的。

关 键 词:形状优化  响应面方法  运动极限  优化策略
文章编号:1007-4708(2007)04-0447-06
修稿时间:2005-05-26

Computation for move-limits with approximate function and its application in structure shape optimization
SUI Yun-kang,ZHANG Xuan,YU Hui-ping.Computation for move-limits with approximate function and its application in structure shape optimization[J].Chinese Journal of Computational Mechanics,2007,24(4):447-452.
Authors:SUI Yun-kang  ZHANG Xuan  YU Hui-ping
Institution:Numerical Simulation Center for Engineering, Beijing University of Technology, Beiiing 100022, China
Abstract:Based on RSM(Response Surface Methodology),the objective function and constraint conditions are approximately explicit to overcome the difficulty of sensitivity analysis in two-dimensional continuum structures,sequential quadratic programming model is used.Combined with experiment design method,very few design points were used to obtain constraint conditions.In order to ensure the reliability of the optimization model,a second-order approximation function to each constraint function is researched and formed to compute move-limits for the current design point and adaptive move-limits evaluation is proposed.An example is given to show the efficiency and stability of this optimization strategy.
Keywords:shape optimization  response surface methodology  move-limits  optimization strategy
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