Journal of Korean Association for Spatial Structures (한국공간구조학회논문집)

Korean Association for Spatial Structures (한국공간구조학회)
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Dynamic Model and Governing Equations of a Shallow Arches with Moving Boundary

이동 경계를 갖는 얕은 아치의 동적 모델과 지배방정식

  • Shon, Sudeok (Dept. of Architectural Eng., Koreatech University) ;
  • Ha, Junhong (School of Liberal Arts, Koreatech University) ;
  • Lee, Seungjae (Dept. of Architectural Eng., Koreatech University)
  • 손수덕 (한국기술교육대학교 건축공학과) ;
  • 하준홍 (한국기술교육대학교 교양학부) ;
  • 이승재 (한국기술교육대학교 건축공학과)
  • Received : 2022.03.22
  • Accepted : 2022.03.27
  • Published : 2022.06.15
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Abstract

In this paper, the physical model and governing equations of a shallow arch with a moving boundary were studied. A model with a moving boundary can be easily found in a long span retractable roof, and it corresponds to a problem of a non-cylindrical domain in which the boundary moves with time. In particular, a motion equation of a shallow arch having a moving boundary is expressed in the form of an integral-differential equation. This is expressed by the time-varying integration interval of the integral coefficient term in the arch equation with an un-movable boundary. Also, the change in internal force due to the moving boundary is also considered. Therefore, in this study, the governing equation was derived by transforming the equation of the non-cylindrical domain into the cylindrical domain to solve this problem. A governing equation for vertical vibration was derived from the transformed equation, where a sinusoidal function was used as the orthonormal basis. Terms that consider the effect of the moving boundary over time in the original equation were added in the equation of the transformed cylindrical problem. In addition, a solution was obtained using a numerical analysis technique in a symmetric mode arch system, and the result effectively reflected the effect of the moving boundary.

Keywords

Acknowledgement

이 논문은 2019년도 정부(과학기술정보통신부)의 재원으로 한국연구재단의 지원을 받아 수행된 기초연구사업임(NRF-2019R1F1A1058327) 및 (NRF-2019R1A2C2010693)

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