Free Vibrations of Elastica Shaped Arches

Elastica형 아치의 자유진동

  • 이병구 (원광대학교 토목환경공학과) ;
  • 오상진 (전남도립대학 토목환경과) ;
  • 이태은 (원광대학교 토목환경공학과) ;
  • 김권식 (원광대학교 대학원 토목환경공학과)
  • Received : 2008.07.10
  • Accepted : 2008.08.25
  • Published : 2008.11.30

Abstract

This paper deals with the free vibrations of elastica shaped arches. The elastica shaped arches are formed by the post-buckled column whose arc length is always constant. The equations governing free, planar vibration of general arch in open literature are modified for applying the free vibrations of elastica shaped arch and solved numerically to obtain frequencies and mode shapes for hinged-hinged, clamped-hinged and clamped-clamped end constraints. The effects of rotatory inertia, rise ratio and slenderness ratio on natural frequencies are presented. The frequencies of elastica shaped arches are greater than those of parabolic shaped ones. Also, typical mode shapes are presented in figures.

Acknowledgement

Supported by : 한국학술진흥재단

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