计算力学学报
計算力學學報
계산역학학보
CHINESE JOURNAL OF COMPUTATIONAL MECHANICS
2015年
2期
160-166
,共7页
拓扑优化%导重法%杆系结构%连续结构%变密度法
拓撲優化%導重法%桿繫結構%連續結構%變密度法
탁복우화%도중법%간계결구%련속결구%변밀도법
topology optimization%Guide-weight method%truss structure%continuum structure%SIMP
介绍了导重准则法基本原理并将其应用于杆系结构及连续体结构拓扑优化。对于重量约束结构性能最优化和多性态约束结构重量最小化问题的连续结构拓扑优化问题，详细推导了导重法与变密度SIMP（Solid Iso‐tropic Microstructure with Penalization）法相结合的更加规范的全新优化准则公式，并给出了相应的算例。计算结果表明，导重法不仅适用于传统的结构尺寸优化与形状优化，而且可很好地求解结构拓扑优化问题，并具有公式简单、通用性强、收敛速度快及优化效果好的优点。
介紹瞭導重準則法基本原理併將其應用于桿繫結構及連續體結構拓撲優化。對于重量約束結構性能最優化和多性態約束結構重量最小化問題的連續結構拓撲優化問題，詳細推導瞭導重法與變密度SIMP（Solid Iso‐tropic Microstructure with Penalization）法相結閤的更加規範的全新優化準則公式，併給齣瞭相應的算例。計算結果錶明，導重法不僅適用于傳統的結構呎吋優化與形狀優化，而且可很好地求解結構拓撲優化問題，併具有公式簡單、通用性彊、收斂速度快及優化效果好的優點。
개소료도중준칙법기본원리병장기응용우간계결구급련속체결구탁복우화。대우중량약속결구성능최우화화다성태약속결구중량최소화문제적련속결구탁복우화문제，상세추도료도중법여변밀도SIMP（Solid Iso‐tropic Microstructure with Penalization）법상결합적경가규범적전신우화준칙공식，병급출료상응적산례。계산결과표명，도중법불부괄용우전통적결구척촌우화여형상우화，이차가흔호지구해결구탁복우화문제，병구유공식간단、통용성강、수렴속도쾌급우화효과호적우점。
The basic theory of Guide‐weight method is introduced and applied in solving topology optimi‐zation of continuum structures and truss structures .For structural topology optimization problems of performance optimization with a single weight constraint and structural weight minimization with multi‐ple performance constraints ,a new canonical formula combined Guide‐weight method with SIMP(Solid Isotropic Microstructure with Penalization) method is presented .And corresponding numerical examples are carried out .Results of examples show that Guide‐weight method is available for traditional structural size and shape optimization ,and for topology optimization ,and the combined method takes advantages of simple formula ,broad generality ,fast convergence and excellent result .
