Journal of the Architectural Institute of Korea Structure & Construction (대한건축학회논문집:구조계)

Architectural Institute of Korea (대한건축학회)
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Topology Optimization of Plane Structures under Free Vibration with Isogeometric Analysis

등기하해석법을 이용한 자유진동 평면구조물의 위상최적화

  • 이상진 (경상대학교 건축공학과) ;
  • 배정은 (경상대학교 구조연구실, SJ미래)
  • Received : 2018.03.13
  • Accepted : 2018.05.28
  • Published : 2018.06.30
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Abstract

Isogeometric concept is introduced to find out the optimum layout of plane structure under free vibration. Eigenvalue problem is formulated and numerically solved in order to obtain natural frequencies and mode shapes of plane structures. For the exact geometric expression of the structure, the Non-Uniform Rational B-spline Surface (NURBS) basis functions is employed and it is also used to define the material density functions. A node-wise design variables is adopted to deal with the updating of material density in topology optimization (TO). The definition of modal strain energy is employed to achieve the maximization of fundamental frequency through its minimization. The verification of the proposed TO technique is performed by a series of benchmark test for plane structures.

Keywords

Acknowledgement

Supported by : 경상대학교

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