Level set-based isogeometric topology optimization for maximizing fundamental eigenfrequency  

作　　者：Manman XU Shuting WANG Xianda XIE 

机构地区：[1]School of Mechanical Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China

出　　处：《Frontiers of Mechanical Engineering》2019年第2期222-234,共13页机械工程前沿（英文版）

基　　金：the National Natural Science Foundation of China(Grant No.51675197).

摘　　要：Maximizing the fundamental eigenfrequency is an efficient means for vibrating structures to avoid resonance and noises.In this study,we develop an isogeometric analysis(IGA)-based level set model for the fonnulation and solution of topology optimization in cases with maximum eigenfrequency.The proposed method is based on a combination of level set method and IGA technique,which uses the non-uniform rational B-spline(NURBS),description of geometry,to perfonn analysis.The same NURBS is used for geometry representation,but also for IGA-based dynamic analysis and parameterization of the level set surface,that is,the level set function.The method is applied to topology optimization problems of maximizing the fundamental eigenfrequency for a given amount of material.A modal track method,that monitors a single target eigenmode is employed to prevent the exchange of eigenmode order number in eigenfrequency optimization.The validity and efficiency of the proposed method are illustrated by benchmark examples.

关 键 词：TOPOLOGY optimization level SET method isogeometric analysis EIGENFREQUENCY 

分 类 号：TH[机械工程]