한국소음진동공학회논문집 (Transactions of the Korean Society for Noise and Vibration Engineering)

  • 제22권9호
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  • Pages.879-888
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  • 2012
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  • 1598-2785(pISSN)
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  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
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시분할구간 호모토피 섭동법을 이용한 공간 트러스의 비선형 동적 해석

Nonlinear Dynamic Analysis of Space Truss by Using Multistage Homotopy Perturbation Method

  • 손수덕 (한국기술교육대학교 건축공학부) ;
  • 하준홍 (한국기술교육대학교 교양학부) ;
  • 이승재 (한국기술교육대학교 건축공학부)
  • 투고 : 2012.06.29
  • 심사 : 2012.08.16
  • 발행 : 2012.09.20
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초록

This study aims to apply multistage homotopy perturbation method(MHPM) to space truss composed of discrete members to obtain a semi-analytical solution. For the purpose of this research, a nonlinear governing equation of the structures is formulated in consideration of geometrical nonlinearity, and homotopy equation is derived. The result of carrying out dynamic analysis on a simple model is compared to a numerical method of 4th order Runge-Kutta method(RK4), and the dynamic response by MHPM concurs with the numerical result. Besides, the displacement response and attractor in the phase space is able to delineate dynamic snapping properties under step excitations and the responses of damped system are reflected well the reduction effect of the displacement.

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참고문헌

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