KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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Free Vibrations of Horseshoe Symmetric Elliptic Arch: Using Boundary Conditions of Stress Resultants at Mid-Arc Revisited

마제형 대칭 타원 아치의 자유진동: 아치 정점의 합응력 경계조건 이용 재고(再考)

  • 이병구 (원광대학교 토목환경공학과) ;
  • 이태은 (동강대학교 건설환경과) ;
  • 김권식 (원광대학교 토목환경공학과) ;
  • 오상진 (전남도립대학교 토목환경과)
  • Received : 2020.07.07
  • Accepted : 2020.08.15
  • Published : 2021.06.01
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Abstract

This paper deals with the boundary conditions of the stress resultants at the mid-arc for free vibration analyses of the arch. The considered arch is a horseshoe symmetric elliptic arch. The work dealing with the boundary conditions of the deflection at both ends of the arch has already been reported in the open literature. This revisited paper aims to study the suitability of the boundary conditions of the stress resultants at the mid-arc to be replaced by the boundary condition at both ends. In this study, the boundary conditions of the stress resultants at the mid-arc are newly derived based on the theory of the previous work, and natural frequencies and mode shapes are obtained using the new boundary conditions of the stress resultants. The numerical results of this paper confirm that the new boundary conditions have been validated according to previous studies and results of finite element ADINA.

이 논문은 아치의 자유진동 해석에서 아치 정점의 합응력 경계조건 이용에 관한 연구이다. 연구 대상 아치는 마제형 타원 대칭 아치이다. 마제형 타원 아치의 자유진동을 다룬 연구는 이미 문헌에 발표된 바 있다. 이 재고 논문은 기존 문헌에서 사용한 아치 양단의 경계조건을 대신할 수 있는 아치 정점의 합응력 경계조건의 적용성을 연구하는 데 그 목적이 있다. 기존 문헌의 이론을 이용하여 아치 정점의 합응력 경계조건을 유도하고, 이를 이용하여 아치의 고유진동수와 진동형을 산정하였다. 이 연구의 결과는 기존 문헌 및 유한요소해 ADINA의 결과와 잘 일치하여, 아치 정점의 합응력 경계조건을 아치의 자유진동 해석에 적용할 수 있음을 검증하였다.

Keywords

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