计算力学学报2016，Vol.33Issue(4)：536-542,7.DOI:10.7511/jslx201604018
基于NURBS插值的三维渐进结构优化方法
Bi-directional evolutionary method using NURBS interpolation for optimal design of 3D continuum structures
摘要
Abstract
A modified bi-directional evolutionary method utilizing the NURBS interpolation scheme with penalization is introduced for topology optimization of 3D continuum structures.In the present approach, the NURBS basis function is applied for the description of both the displacement field,temperature field and the geometry,as well as the interpolation of the element density field.Based on these,the design model and analysis model can be combined closely to realize the computational analysis directly on exact geometry.The model of BESO method using NURBS interpolation and its sensitivity analysis are detailed for three different optimization problems,that is the minimal mean compliance problem,steady heat conduction problem and frequency optimization problems.Numerical examples demonstrate the present formulation provides an effective means for topology optimization of 3D continuum structures.关键词
拓扑优化/等几何分析/双向渐进结构法/三维结构/NURBSKey words
topology optimization/isogeometric analysis/BESO method/3D structure/NURBS分类
数理科学引用本文复制引用
王选,祝雪峰,胡平,盖赟东..基于NURBS插值的三维渐进结构优化方法[J].计算力学学报,2016,33(4):536-542,7.基金项目
国家自然科学基金(11272075,11302041) （11272075,11302041）
中央高校基本科研业务费专项(DUT15RC(4)36)资助项目 （DUT15RC(4）
