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ISSN : 2233-8292

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Vol.6 No.4
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미분 구적법 (DQM)을 이용한 곡선 강지보의 안정성 해석구

Elastic stability analysis of curved steel rib using differential quadrature method(DQM)

(사)한국터널지하공간학회 / (사)한국터널지하공간학회, (P)2233-8292; (E)2287-4747
2004, v.6 no.4, pp.279-290
강기준 (호서대학교)
김병삼 (호서대학교)
김상환 (호서대학교)
강기준, 김병삼, & 김상환. (2004). 미분 구적법 (DQM)을 이용한 곡선 강지보의 안정성 해석구. (사)한국터널지하공간학회, 6(4), 279-290.
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초록

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.

keywords
Curved beams, differential quadrature method, critical load, buckling, warping, 곡선터널라이닝, 미분구적법, 임계하중, 좌굴, 비틀림, Curved beams, differential quadrature method, critical load, buckling, warping

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, 곡선터널라이닝, 미분구적법, 임계하중, 좌굴, 비틀림, Curved beams, differential quadrature method, critical load, buckling, warping

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