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In-plane Free Vibration Analysis of Parabolic Arches with Hollow Section

중공단면을 갖는 포물선형 아치의 면내 자유진동 해석

  • 이태은 (원광대학교 토목환경공학과) ;
  • 이병구 (원광대학교 토목환경공학과) ;
  • 이재영 (호원대학교 토목환경공학과) ;
  • 윤희민 (원광대학교 대학원 토목환경공학과)
  • Published : 2008.02.20

Abstract

The differential equations governing free vibrations of the elastic arches with hollow section are derived in polar coordinates, in which the effect of rotatory inertia is included. Natural frequencies is computed numerically for parabolic arches with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and reference are made to validate theories and numerical methods developed herein. The lowest four natural frequency parameters are reported, with the rotatory inertia, as functions of three non-dimensional system parameters: the breadth ratio, the thickness ratio and the rise to span length ratio.

Keywords

References

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  1. Nonlinear Dynamic Analysis of Space Truss by Using Multistage Homotopy Perturbation Method vol.22, pp.9, 2012, https://doi.org/10.5050/KSNVE.2012.22.9.879