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Structural Topology Optimization for Forced Vibration Problem Using Level Set Method

[+] Author Affiliations
Lei Shu, Zongde Fang

Northwestern Polytechnical University, Xi’an, Shaanxi, China

Michael Yu Wang

The Chinese University of Hong Kong, Hong Kong, China

Zhengdong Ma

University of Michigan, Ann Arbor, MI

Paper No. DETC2011-47037, pp. 633-642; 10 pages
doi:10.1115/DETC2011-47037
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 37th Design Automation Conference, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5482-2
  • Copyright © 2011 by ASME

abstract

For the purpose of structure vibration reduction, a structural topology optimization for forced vibration problem is proposed based on the level set method. The objective of present study is to minimize the frequency response at the specified points or surfaces on the structure with an excitation frequency or a frequency range, subject to the given amount of the material over the admissible design domain. The sensitivity analysis with respect to the structural boundaries is carried out, while the X-FEM is employed for solving the state equation and the adjoint equation. The optimal structure with smooth boundaries is obtained by the level set evolution with advection velocity, derived from the sensitivity analysis and the optimization algorithm. A number of two-dimensional numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed approach.

Copyright © 2011 by ASME

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