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2004 Vol.6, Issue 4 Preview Page
Elastic stability analysis of curved steel rib using differential quadrature method (DQM)

미분 구적법 (DQM)을 이용한 곡선 강지보의 안정성 해석

Ki-Jun* Kang1*
,
Byeong-Sam Kim2
,
Sang-Hwan Kim3
강 기준*1*
,
김 병삼2
,
김 상환3
1호서대학교 기계건축토목공학부 교수
2호서대학교 기계건축토목공학부 교수
3호서대학교 토목공학과 교수
*교신저자. *Corresponding Author. 
31 December 2004. pp. 279-290
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Abstract

The differential quadrature method (DQM) for a system of coupled differential equations governing the elastic stability of thin-walled curved members is presented, and is applied to computation of the eigenvalues of out-of-plane buckling of curved beams subjected to uniformly distributed radial loads including a warping contribution. Critical loads with warping, which were found to be significant, are calculated for a single-span wide-flange beam with various end conditions, opening angles, and stiffness parameters. The results are compared with the exact methods available. New results are given for the case of both ends clamped and clamped-simply supported ends without comparison since no data are available The differential quadrature method gives good accuracy and stability compared with previous theoretical results.

Keywords
Curved beams
differential quadrature method
critical load
buckling
warping

이 논문은 I-단면 곡선강지보 (curved steel rib)의 등분포 하중 하에서, 비틀림 (warping)을 포함한, 외평면 (out-of-plane)의 안정성을 해석하였다. 미분구적법 (differential quadrature method, DQM)을 이용하여 다양한 경계조건, 굽힘각 (opening angles) 과 강성매개변수 (stiffness parameter)에 따른 임계하중 (critical loads) 및 임계하중 매개변수 (dimensionless buckling parameter)를 계산하였고, Differential quadrature method (DQM)의 해석결과를 타 이론과 비교 분석 하였다. 또한 두 경계조건 (고정-고정, 고정-단순지지)하에서의 새로운 결과를 제시하였고, DQM을 이용한 곡선강지보의 좌굴해석은, 비교적 적은 요소 (grid points)를 사용하고도, 타 이론에 의한 해석적 결과에 비해 정확성과 안정성을 보여주었다.

키워드
곡선터널라이닝
미분구적법
임계하중
좌굴
비틀림
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Information
  • Publisher :Korean Tunneling and Underground Space Association
  • Publisher(Ko) :한국터널지하공간학회
  • Journal Title :Journal of Korean Tunnelling and Underground Space Association
  • Journal Title(Ko) :한국터널지하공간학회 논문집
  • Volume : 6
  • No :4
  • Pages :279-290
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