전산구조공학 (Computational Structural Engineering)

한국전산구조공학회 (Computational Structural Engineering Institute of Korea)
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원호형 곡선보의 면외 자유진동에 관한 수치해석적 연구

Out of Plane Free Vibrations of Circular Curved Beams

  • 이병구 (원광대학교 토목환경공학과) ;
  • 오상진 (원광대학교 토목환경공학과)
  • 발행 : 1996.03.01
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초록

이 논문은 원호형 곡선보의 면외 자유진동에 관한 연구이다. 곡선보 요소의 동적 평형방정식에 Timoshenko 이론을 적용하여 원호형 곡선보의 자유진동을 지배하는 상미분방정식을 유도하고 이를 수치해석하여 고유진동수를 산출할 수 있는 개략해법 중 하나인 수치해석기법을 개발하였다. 수치해석기법에서 미분방정식의 수치적분은 Runge-Kutta method를 이용하였고, 고유진동수의 결정은 Regular-Falsi method를 이용하였다. 실제 수치해석예에서는 회전-회전보, 고정-고정보에 대하여 시행하고 고유진동수에 미치는 무차원 변수들의 영향을 고찰하였다.

In this paper, an approximate method is developed to obtain the natural frequencies of the out of plane vibration of circular curved beams. The governing differential equations are derived using the dynamic equilibrium equations with the Timoshenko theory, and solved numerically. The Runge-Kutta method and Regula-Falsi method are used to integrate the differential equations and to determine the natural frequencies, respectively. In numerical examples, the hinged-hinged and clamped-clamped end constraints are considered. For each case, the four lowest natural frequencies are reported as functions of four non-dimensional system parameters.

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참고문헌

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