등분포하중에서 아치의 외평면 좌굴해석

Out-of -Plane Buckling Analysis of Arches Due to Uniformly Distributed Radial Loads

아치의 평면 외 (out-of-plane) 좌굴 (buckling)을 미 ^1구적법 (DQM)을 이용하여 해석하였다 . 등분포 하중 하에서 아치(곡선 보)의 비틀림-좌굴을 분석하였고 , 다양한 경계조건 (boundary conditions)하에서 열림각 (opening angles)의 변화에 따른 임계하중 (critical loads)을 계산하였다 . DQM 결과는 해석적 해답 (exact solution)과 비교 분석하였다 . DQM은 적은 요소 (grid points)를 사용하고도 정확한 해석결과를 보여주었고 , 두 경계조건 (고정-고정 , 단순지지 - 단순지지)하에서 새로운 결과를 또한 제시하였다 .

The differential quadrature method (DQM) is applied to computation of the eigenvalues of the equations governing out-of-plane buckling of arches. Twist-buckling of arches(curved beams) under uniformly distributed radial loads are analyzed by this method. Critical loads are calculated for various end conditions and opening angles. Results are compared with existing exact solutions and other numerical solutions where available. The DQM gives good accuracy even when only a limited number of grid points is used New results are given for two sets of boundary conditions not previously considered for this problem: clamped-clamped and simply-simply supported ends.