Indian Journal of Science and Technology
Year: 2012, Volume: 5, Issue: 8, Pages: 1-5
Ali Nikkhoo1 , Hassan Kananipour*1 , Hossein Chavoshi1 and Raham Zarfam2
1 Department of Civil Engineering, University of Science and Culture, Tehran, Iran.
2 Departments of Civil Engineering, Sharif University of Technology, Tehran, Iran. [email protected]*, [email protected], [email protected], [email protected],
*Author For Correspondence
Departments of Civil Engineering
Email: [email protected]*
Application of curved beams in special structures requires a special analysis. In this study, the differential quadrature method (DQM) as a well-known numerical method is utilized in the dynamic analysis of the Euler-Bernoulli curved beam problem with a uniform cross section under a constant moving load. DQ approximation of the required partial derivatives is given by a weighted linear sum of the function values at all grid points. A prismatic semicircular arch with simply supported boundary conditions is assumed. The accuracy of the obtained results is corroborated by employing the Galerkin and finite element methods. Finally, the convergence rate of the DQM and Finite Element Method (FEM) in the associated problem is explored. In the structural problems with specific geometry, use of DQM which is independent of domain discretization, is proved to be efficient.
Keywords: Differential Quadrature Method (DQM), Semicircular curved beam, Moving load, Galerkin method, Finite element method.
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