Journal of the Korea Academia-Industrial cooperation Society (한국산학기술학회논문지)

The Korea Academia-Industrial cooperation Society (한국산학기술학회)
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In-Plane Buckling Analysis of Curved Beams Using DQM

미분구적법(DQM)을 이용한 곡선보의 내평면 좌굴해석

  • Kang, Ki-Jun (Department of Automative Engineering, Hoseo University) ;
  • Kim, Young-Woo (Department of Automative Engineering, Hoseo University)
  • 강기준 (호서대학교 공과대학 자동차공학과) ;
  • 김영우 (호서대학교 공과대학 자동차공학과)
  • Received : 2012.04.19
  • Accepted : 2012.07.12
  • Published : 2012.07.31
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Abstract

The differential quadrature method (DQM) is applied to computation of the eigenvalues of in-plane buckling of the curved beams. Critical moments and loads are calculated for the beam subjected to equal and opposite bending moments and uniformly distributed radial loads with various end conditions and opening angles. Results are compared with existing exact solutions where available. The DQM gives good accuracy even when only a limited number of grid points is used. More results are given for two sets of boundary conditions not considered by previous investigators for in-plane buckling: clamped-clamped and simply supported-clamped ends.

곡선보 (curved beam)의 내평면 모멘트 및 등분포하중 하에서 평면내 (in-plane) 좌굴 (buckling)을 미분구적법(DQM)을 이용하여 해석하였다. 다양한 경계조건 (boundary conditions)과 굽힘각 (opening angles)에 따른 임계모멘트 및 임계하중을 계산하였다. DQM의 해석결과는 해석적 해답 (exact solution) 결과와 비교하였으며, DQM은 적은 요소 (grid points)를 사용하여 정확한 해석결과를 보여주었다. 두 경계조건(고정-고정, 단순지지-고정)하에서 새 결과를 또한 제시하였다.

Keywords

References

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  1. In-Plane Buckling Analysis of Asymmetric Curved Beam Using DQM vol.14, pp.10, 2013, https://doi.org/10.5762/KAIS.2013.14.10.4706