(1 东南大学土木工程学院， 南京 210096； 2 江苏省建筑设计研究院有限公司， 南京 210019)

［摘要］根据自由曲面的形成机理，建立自由曲面结构的多目标优化模型。以控制点坐标为优化变量，以应变能密度、特征屈曲值为目标函数，运用遗传算法，采用MATLAB与ANSYS分析软件，对自由曲面进行多目标优化。研究表明，所提出的优化方法适用性强、优化效果较好，可用于各种自由曲面的形态优化。

［关键词］自由曲面； 多目标形态优化； 应变能密度； 特征屈曲值

中图分类号：TU311-41文献标识码：A文章编号：1002-848X(2017)05-0059-05

Multi-objective shape optimization of free-form surface structures

Wei Dajie1,2, Shu Ganping1, Gu Huajian2

(1 College of Civil Engineering, Southeast University, Nanjing 210096, China； 

2 Jiangsu Provincial Architectural D&R Institute Ltd., Nanjing 210019, China)

Abstract:Based on the formation mechanism of free-form surfaces, a multi-objective optimization model for free-form grid structures was proposed. The coordinates of the control points were used as optimization variables, strain energy density and linear buckling load factor were taken as optimization object, the genetic algorithm was applied to the multi-objective optimization for free-form surface by using MATLAB and ANSYS analysis software. It can be concluded that this method  has strong applicability and good optimization effect, and can be used to optimize arbitrary free-form surfaces.

Keywords:free-form surface; multi-objective shape optimization; strain energy density; linear buckling load factor

*国家自然科学基金项目（6505000069）。

通讯作者：舒赣平，教授，博士生导师，Email：sgp0818@vip.sina.com。