首页 | 官方网站   微博 | 高级检索  
     

结构拓扑优化局部性能约束下轻量化问题的互逆规划解法
引用本文:隋允康,彭细荣,叶红玲,李宗翰.结构拓扑优化局部性能约束下轻量化问题的互逆规划解法[J].计算力学学报,2021,38(4):479-486.
作者姓名:隋允康  彭细荣  叶红玲  李宗翰
作者单位:北京工业大学材料与制造学部,北京100022;湖南城市学院土木工程学院,益阳413000
基金项目:国家自然科学基金(11672103;11872080);北京市自然科学基金(3192005)资助项目.
摘    要:瞄准应力和疲劳两类局部性能约束的结构拓扑优化问题,概括为分部、化整和集成3种解法和交融的3种解法.类比应力约束推导了疲劳寿命情况,一为满疲劳公式,二为疲劳寿命约束全局化的结构寿命概念和相应解法.在倒寿命概念下,实现了疲劳寿命约束与应力约束的规格统一.补充和完整了已有的局部性能约束解法,属于单目标模型,有分部、化整、集成三种.基于互逆规划理论的定理2,提出了交融优化解法,是单目标与多目标模型的交替迭代,有分部-集成、化整-集成和集成-集成三种.上述6种解法皆基于ICM方法进行建模.算例表明,新提出的交融优化方法提高了求解效率.

关 键 词:局部性能约束  交融解法  互逆规划  分部解法  化整解法  集成解法  结构拓扑优化  ICM方法
收稿时间:2021/5/15 0:00:00
修稿时间:2021/6/14 0:00:00

Reciprocal programming method for structural lightweight topology optimization with local performance constraints
SUI Yun-kang,PENG Xi-rong,YE Hong-ling,LI Zong-han.Reciprocal programming method for structural lightweight topology optimization with local performance constraints[J].Chinese Journal of Computational Mechanics,2021,38(4):479-486.
Authors:SUI Yun-kang  PENG Xi-rong  YE Hong-ling  LI Zong-han
Affiliation:Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100022, China;School of Civil Engineering, Hunan City University, Yiyang 413000, China
Abstract:The structural topology optimization problem targeting the local performance constraints on stress and fatigue is summarized as three kinds of solutions:partition, globalization and integration methods, and three blending optimization methods. Fatigue life conditions are derived by analogy with stress constraints;one is full fatigue formula;the other is the concept of structural life with the globalization of fatigue life constraints and corresponding solutions. Under the concept of reverse life, the specification of fatigue life constraint and stress constraint is unified. The existing methods solving local performance constraint problems are supplemented. Three kinds of methods belong to the single objective model, which are partition, globalization and integration methods. Based on Theorem 2 of the reciprocal programming theory, three blending optimization methods are proposed, which are alternating iteration of single-objective and multi-objective models. They are partition-integration, globalization-integration and integration-integration blending optimization respectively. The above six methods are all modeled based on the ICM method. The numerical example shows that the proposed blending optimization methods can improve the solution efficiency.
Keywords:local performance constraints  blending method  reciprocal programming  partition method  globalization method  integration method  structural topology optimization  ICM(Independent  Continuous and Mapping) method
本文献已被 CNKI 万方数据 等数据库收录!
点击此处可从《计算力学学报》浏览原始摘要信息
点击此处可从《计算力学学报》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司    京ICP备09084417号-23

京公网安备 11010802026262号