Vibration Analysis of Curved Beams Using Differential Quadrature

수치해석(미분구적법 DQM)을 이용한 곡선보의 진동분석

The differential quadrature method (DQM) is applied to computation of eigenvalues of the equations of motion governing the free in-plane and out-of-plane vibrations for circular curved beams. Fundamental frequencies are calculated for the members with various end conditions and opening angles. The results are compared with existing exact solutions and numerical solutions by other methods (Rayleigh-Ritz, Galerkin or FEM) for cases in which they are available. The differential quadrature method gives good accuracy even when only a limited number of grid points is used.

곡선보(curved beam)의 평면내(in-plane)와 평면외(out-of-plane)의 자유진동을 해석하는데 differential quadrature method (DQM)를 이용하여 다양한 경계조건(boundary conditions)과 굽힘각 (opening angles)에 따른 진동수(frequencies)를 계산하였다. DQM의 결과는 엄밀해(exact solution) 또는 다른 수치해석(Rayleigh-Ritz, Galerkin 또는 FEM) 결과와 비교하였으며, DQM은 적은 요소(grid points)를 사용하여 정확한 해석결과를 보여주었다.