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중공단면을 갖는 포물선형 아치의 면내 자유진동 해석

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

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

초록

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.

키워드

참고문헌

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피인용 문헌

  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