In-Plane Extensional Vibration Analysis of Curved Beams using DQM

미분구적법을 이용한 곡선보의 태평면 진동분석

  • Kang, Ki-Jun (Department of mechanical Design Engineering, Hoseo University) ;
  • Kim, Byeong-Sam (Department of mechanical Design Engineering, Hoseo University)
  • 강기준 (호서대학교 기계설계공학과) ;
  • 김병삼 (호서대학교 기계설계공학과)
  • Published : 2002.03.01

Abstract

DQM(differential quadrature method) is applied to computation of eigenvalues of the equations of motion governing the free in-plane vibration for circular curved beams including mid-surface extension and the effects of rotatory inertia. Fundamental frequencies are calculated for the members with various end conditions and opening angles. The results are compared with numerical solutions by other methods for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.

아크축(arch axis)의 연장(extensibility) 및 회전관성(rotatory inertia)을 고려한 곡선보(curved beam)의 평면내(in-plane) 자유진동을 미분구적법(DQM)을 이용하여 다양한 경계조건(boundary conditions)과 굽힘각(opening angles)에 따른 진동수(frequencies)를 계산하였다. DQM의 결과를 다른 수치해석결과와 비교하였으며, DQM은 적은 요소(grid points)을 사용하여 정확한 해석결과를 보여주었다.

Keywords

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