Multi-resolution nonlinear topology optimization with enhanced computational efficiency and convergence

作     者：Zijie Chen Guilin Wen Hongxin Wang Liang Xue Jie Liu 陈梓杰;文桂林;王洪鑫;薛亮;刘杰

作者机构：Center for Research on Leading Technology of Special EquipmentSchool of Mechanical and Electric EngineeringGuangzhou UniversityGuangzhou 510006China 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11902085 and 11832009) the Science and Technology Association Young Scientific and Technological Talents Support Project of Guangzhou City(Grant No.SKX20210304) the Natural Science Foundation of Guangdong Province(Grant No.2021Al515010320) 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2022年第38卷第2期

页      码：93-109,I0003页

摘      要：Huge calculation burden and difficulty in convergence are the two central conundrums of nonlinear topology optimization(NTO).To this end,a multi-resolution nonlinear topology optimization(MR-NTO)method is proposed based on the multiresolution design strategy(MRDS)and the additive hyperelasticity technique(AHT),taking into account the geometric nonlinearity and material *** MR-NTO strategy is established in the framework of the solid isotropic material with penalization(SIMP)method,while the Neo-Hookean hyperelastic material model characterizes the material *** coarse analysis grid is employed for finite element(FE)calculation,and the fine material grid is applied to describe the material *** alleviate the convergence problem and reduce sensitivity calculation complexity,the software ANSYS coupled with AHT is utilized to perform the nonlinear FE calculation.A strategy for redistributing strain energy is proposed during the sensitivity analysis,i.e.,transforming the strain energy of the analysis element into that of the material element,including Neo-Hooken and second-order Yeoh *** examples highlight three distinct advantages of the proposed method,i.e.,it can(1)significantly improve the computational efficiency,(2)make up for the shortcoming that NTO based on AHT may have difficulty in convergence when solving the NTO problem,especially for 3D problems,(3)successfully cope with high-resolution 3D complex NTO problems on a personal computer.

主 题 词：Nonlinear topology optimization Multi-resolution design,Additive hyperelasticity technique Computational efficiency Convergence 

学科分类：12[管理学] 1201[管理学-管理科学与工程类] 07[理学] 070105[070105] 0701[理学-数学类] 

核心收录：

D　O　I：10.1007/s10409-021-09028-p

馆 藏 号：203111660...