Circular Elastic Plate Resting on Tensionless Pasternak Foundation
Publication: Journal of Engineering Mechanics
Volume 130, Issue 10
Abstract
In this technical note, a thin circular plate resting on a two-parameter (Pasternak-type) foundation is studied under concentrated central and distributed loads. The governing equations of the plate are derived for static loading case considering the lift off (uplift) of the plate from the foundation. For the approximate solution, a Galerkin technique is adopted and the free vibration mode shapes of the completely free plate are chosen as the displacement functions. The technique yields a system of algebraic nonlinear equations, and its solution is accomplished by using an iterative method. The numerical results are obtained for evaluation of the behavior of the plate and then given comparatively in figures. Although in the case of a tensionless Winkler foundation, the lift off of the plate from the foundation takes place, when the displacement of plate is negative, while in case of the two-parameter foundation the lift off appears when the slopes of the foundation surface and that of the plate are not equal.
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References
1.
Abramowitz, M., and Stegun, I.A. ( 1965). Handbook of mathematical functions, Dover, New York.
2.
Celep, Z. (1988). “Circular plate on a tensionless Winkler foundation.” J. Eng. Mech., 114(10), 1720–1736.
3.
Celep, Z. and Turhan, D. (1990). “Axisymmetric dynamic response of circular plates on tensionless elastic foundation.” J. Appl. Mech., 57, 677–681.
4.
Dutta, S. C. and Roy, R. (2002). “A critical review on idealization and modeling for interaction among soil-foundation-structure system.” Comput. Struct., 80, 1579–1594.
5.
Güler, K. and Celep, Z. (1995). “Dynamic response of a circular plate on a tensionless elastic foundation.” J. Sound Vib.,183(2), 185–195.
6.
Kerr, A. D. (1964). “Elastic and viscoelastic foundation models.” J. Appl. Mech., 31, 491–498.
7.
Kerr, A. D. (1976). “On the derivation of well-posed boundary value problems in structural mechanics.” Int. J. Solids Struct., 12(1), 1–11.
8.
Kerr, A. D. and Coffin, D. W. (1991). “Beams on two-dimensional Pasternak base subjected to loads that causes lift off.” Int. J. Solids Struct., 28(4), 413–422.
9.
Leissa, A.W. ( 1969). Vibration of plates, Scientific and Technical Information Division, National Aeronautics and Space Administration, Washington, D. C.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 130 • Issue 10 • October 2004
Pages: 1251 - 1254
Copyright
Copyright © 2004 ASCE.
History
Published online: Oct 1, 2004
Published in print: Oct 2004
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