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Topology Optimization of a Vibrating System of Rigid and Flexible Bodies for Maximizing Repeated Eigenfrequencies

중복 고유 진동수를 갖는 진동하는 강체-유연체 계의 위상최적설계

  • Ahn, Byungseong (Dept. of Mechanical and Aerospace Engineering & IAMD, Seoul Nat'l Univ.) ;
  • Kim, Suh In (Dept. of Mechanical and Aerospace Engineering & IAMD, Seoul Nat'l Univ.) ;
  • Kim, Yoon Young (Dept. of Mechanical and Aerospace Engineering & IAMD, Seoul Nat'l Univ.)
  • 안병성 (서울대학교 기계항공공학부, 정밀기계설계공동연구소) ;
  • 김서인 (서울대학교 기계항공공학부, 정밀기계설계공동연구소) ;
  • 김윤영 (서울대학교 기계항공공학부, 정밀기계설계공동연구소)
  • Received : 2015.11.12
  • Accepted : 2016.02.29
  • Published : 2016.04.01

Abstract

When a system consisting of rigid and flexible bodies is optimized to improve its dynamic characteristics, its eigenfrequencies are typically maximized. While topology optimization formulations dealing with simultaneous design of a system of rigid and flexible bodies are available, studies on eigenvalue maximization of the system are rare. In particular, no work has solved for the case when the target frequency becomes one of the repeated eigenfrequencies. The problem involving repeated eigenfrequencies is solved in this study, and a topology optimization formulation and sensitivity analysis are presented. Further, several numerical case studies are considered to demonstrate the validity of the proposed formulation.

Keywords

Topology Optimization;System of Rigid and Flexible Bodies;Repeated Eigenvalues

Acknowledgement

Supported by : 한국연구재단

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