Solution of Beam on Elastic Foundation by DQEM
Publication: Journal of Engineering Mechanics
Volume 124, Issue 12
Abstract
A new numerical approach for solving the problem of a beam resting on an elastic foundation is proposed. The approach uses the differential quadrature (DQ) to discretize the governing differential equations defined on all elements, the transition conditions defined on the interelement boundaries of two adjacent elements, and the boundary conditions of the beam. By assembling all the discrete relation equations, a global linear algebraic system can be obtained. Numerical results of the solutions of beams resting on elastic foundations obtained by the DQEM are presented.
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References
1.
Bathe, K. J. (1978). “ADINA: a finite element program.”Rep. 82448-1, Dept. of Mech. Engrg., MIT, Cambridge, Mass.
2.
Bellman, R. E., and Casti, J.(1971). “Differential quadrature and long-term integration.”J. Math. Anal. and Applications, 34, 234–238.
3.
Bellman, R. E., Kashef, B. G., and Casti, J.(1972). “Differential quadrature: a technique for the rapid solution of non-linear partial differential equations.”J. Computational Phys., 10, 40–52.
4.
Chen, C. N. (1995). “A differential quadrature element method.”Proc., 1st Int. Conf. on Engrg. Computation and Comp. Simulation, Changsha, China.
5.
Chen, C. N.(1998). “The warping torsion bar model of the differential quadrature element method.”Comput. Struct., 66, 249–257.
6.
Chen, C. N. (1998a). The development of numerical solution techniques based on the differential quadrature.” A. P. Publication.
7.
Chen, C. N. (1998b). “A generalized differential quadrature element method.”Proc., Int. Conf. on Advanced Computational Methods in Engrg., University of Ghent, Ghent, Belgium.
8.
Reisman, H., and Pawlik, P. (1980). Elasticity—theory and application. John Wiley and Sons, New York.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 12 • December 1998
Pages: 1381 - 1384
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Dec 1, 1998
Published in print: Dec 1998
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