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Shock and Vibration
Volume 1 (1993), Issue 1, Pages 89-93

Analysis of Vibrating Timoshenko Beams Using the Method of Differential Quadrature

P.A.A. Laura and R.H. Gutierrez

Institute of Applied Mechanics (CONICET-SENID-ACCE) and Department of Engineering, Universidad Nacional del Sur, 8000-Bahia Blanca, Argentina

Copyright © 1993 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The main advantages of the differential quadrature method are its inherent conceptual simplicity and the fact that easily programmable algorithmic expressions are obtained. It was developed by Bellman in the 1970s but only recently has been applied in the solution of technically important problems. Essentially, it consists of the approximate solution of the differential system by means of a polynomial–collocation approach at a finite number of points selected by the analyst. This article reports some numerical experiments on vibrating Timoshenko beams of nonuniform cross-section.