Topology Optimization for Harmonic Excitation Structures with Minimum Length Scale Control Using the Discrete Variable Method  

作　　者：Hongliang Liu Peijin Wang Yuan Liang Kai Long Dixiong Yang 

机构地区：[1]Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation,College of Aerospace Engineering,Shenyang Aerospace University,Shenyang,110136,China [2]State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian,116023,China [3]State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources,North China Electric Power University,Beijing,102206,China

出　　处：《Computer Modeling in Engineering & Sciences》2023年第6期1941-1964,共24页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundation of China (12002218 and 12032008);the Youth Foundation of Education Department of Liaoning Province (Grant No.JYT19034).

摘　　要：Continuumtopology optimization considering the vibration response is of great value in the engineering structure design.The aimof this studyis toaddress the topological designoptimizationof harmonic excitationstructureswith minimumlength scale control to facilitate structuralmanufacturing.Astructural topology design based on discrete variables is proposed to avoid localized vibration modes,gray regions and fuzzy boundaries in harmonic excitation topology optimization.The topological design model and sensitivity formulation are derived.The requirement of minimum size control is transformed into a geometric constraint using the discrete variables.Consequently,thin bars,small holes,and sharp corners,which are not conducive to the manufacturing process,can be eliminated from the design results.The present optimization design can efficiently achieve a 0–1 topology configuration with a significantly improved resonance frequency in a wide range of excitation frequencies.Additionally,the optimal solution for harmonic excitation topology optimization is not necessarily symmetric when the load and support are symmetric,which is a distinct difference fromthe static optimization design.Hence,one-half of the design domain cannot be selected according to the load and support symmetry.Numerical examples are presented to demonstrate the effectiveness of the discrete variable design for excitation frequency topology optimization,and to improve the design manufacturability.

关 键 词：Discrete variable topology optimization harmonic excitation minimumlength scale control geometric constraint MANUFACTURABILITY 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]