中国机械工程2011，Vol.22Issue(20)：2437-2442,6.
一种基于水平集函数的尺寸优化方法及应用
A Level Set--based Size Optimization Method and Its Applications
摘要
Abstract
In order to construct a synthetically structural optimization model with topology, shape and size, a level set-based method was presented to characterize the geometric shape and parameter, accordingly, a level set-based size optimization model can be achieved. The structural geometry boundary was described with a level set function, by applying the compactly supported radial basis function with favorable smoothness and accuracy to interpolate the level set function. The expansion coefficients of interplant were regarded as the design variables which reflected the structural perform- ance impacts of size. Furthermore, by combing the level set-based size optimization with the shape and topology optimization model, a unified optimization method was presented to carry out the struc- tural dynamic optimization for continuum structure,which can fulfill the structural topology, shape and size optimization at the same time.关键词
几何尺寸表达/尺寸优化/拓扑形状优化/综合优化/水平集法/紧支径向基函数Key words
geometry shape and parameter characterization/size optimization/shape and topologyoptimization/unified optimization method/level--set method/compactly supported radial basis func-tions分类
通用工业技术引用本文复制引用
王书亭,陈振兴,杨勇,张卫国..一种基于水平集函数的尺寸优化方法及应用[J].中国机械工程,2011,22(20):2437-2442,6.基金项目
基金项目：国家自然科学基金资助项目（50975107) （）
国家科技重大专项（2010ZX04001～032) （）
