拓扑优化
非线性系统
拓扑(电路)
数学优化
趋同(经济学)
有限元法
过程(计算)
计算机科学
静态分析
转化(遗传学)
失真(音乐)
数学
控制理论(社会学)
应用数学
工程类
结构工程
量子力学
经济增长
带宽(计算)
控制(管理)
生物化学
程序设计语言
放大器
计算机网络
化学
物理
经济
人工智能
基因
操作系统
组合数学
作者
Hyun-Ah Lee,Gyung-Jin Park
标识
DOI:10.1016/j.cma.2014.10.015
摘要
A novel method for nonlinear dynamic response topology optimization is proposed using the equivalent static loads (ESLs) method. The ESLs are the loads that generate the same response field of linear static analysis as that of nonlinear dynamic analysis at each time step. In the proposed procedure, nonlinear dynamic analysis is performed, ESLs are made and linear static topology optimization is carried out with the ESLs. The process cyclically proceeds until the convergence criterion, which is specifically defined for this problem, is satisfied. Since the density method for topology optimization is utilized, the low-density finite elements can cause mesh distortion in nonlinear dynamic analysis. Transformation variables are introduced for a new update method for the incorporating process of the topology results into nonlinear dynamic analysis. Also, a new objective function is proposed to minimize the peaks of the time dependent transient responses. A couple of standard problems and a practical problem are solved to validate the proposed method.
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