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结构拓扑优化中变量连接算法研究与软件实现
Research and software implementation of variable connection algorithm for structural topology optimization
引用本文:陈峰,陈飙松,周大为,张盛. 结构拓扑优化中变量连接算法研究与软件实现
Research and software implementation of variable connection algorithm for structural topology optimization[J]. 计算力学学报, 2016, 33(2): 158-164. DOI: 10.7511/jslx201602004
作者姓名:陈峰  陈飙松  周大为  张盛
作者单位:1. 大连理工大学工业装备结构分析国家重点实验室,工程力学系,大连116024;2. 大连理工大学工业装备结构分析国家重点实验室,工程力学系,大连116024; 吉林大学汽车仿真与控制国家重点实验室,长春130025
基金项目:国家自然科学基金(91519103,11372064);111引智计划(B14013);中央高校基本科研业务费专项基金(DUT15JJ(G)03)资助项目.
摘    要:结构拓扑优化的变量连接,是通过对设计变量之间添加约束关系,从而得到特定的拓扑优化构型,使得优化结果能够满足工程上的特殊要求和工艺制造技术的限制。针对拓扑优化中的几类过滤形式及灵敏度分析,给出了考虑变量连接的计算公式;基于自主研发的SiPESC软件集成化平台,在SiPESC .TOPO拓扑优化模块上进行二次开发,构建了拓扑优化的变量连接算法框架,其核心思想是基于面向对象设计方法和软件设计模式,实现算法与数据分离。详细阐述了变量连接的作用方式,以及软件框架通用接口设计方案,并通过数值算例验证了其在静力问题、动力问题和热传导问题上的可行性。

关 键 词:拓扑优化  变量连接  SiPESC软件  算法框架
收稿时间:2014-12-18
修稿时间:2015-04-08

Research and software implementation of variable connection algorithm for structural topology optimization
CHEN Feng,CHEN Biao-song,ZHOU Da-wei and ZHANG Sheng. Research and software implementation of variable connection algorithm for structural topology optimization[J]. Chinese Journal of Computational Mechanics, 2016, 33(2): 158-164. DOI: 10.7511/jslx201602004
Authors:CHEN Feng  CHEN Biao-song  ZHOU Da-wei  ZHANG Sheng
Affiliation:State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130025, China;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China
Abstract:In structural topology optimization,variable connection means that topology variables are connected with constrains in order to obtain specific configuration,and to meet the requirements of engineering design and restrictions of manufacturing technology.The formula with variable connection concept for several filtration methods and sensitivity analysis is presented.Meanwhile based on the software integration platform SiPESC and topology optimization software SiPESC.TOPO,a new algorithm design framework for variable connection concept of topology optimization is constructed.The core idea of software design is that algorithmic class and data model class are designed individually using object oriented methods and software design patterns.The mechanism of variable connection and the interfaces of software modules are discussed in detail.Finally,the feasibility of variable connection concept and algorithm framework on static problems,dynamic problems and heat conduction problems were verified by numerical examples.
Keywords:topology optimization  variable connection  SiPESC software  algorithm framework
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