Finite Strip‐Elements for Thick Plate Analysis
Publication: Journal of Engineering Mechanics
Volume 115, Issue 6
Abstract
A finite strip‐element method is presented for the analysis of thick and thin plates under transverse loading. The method combines a number of advantages of both finite strips and finite elements. The formulation results in partial uncoupling of the global equations owing to orthogonality relationships of the trigonometric functions used in the displacement approximations. This enables any number of trigonometric series terms to be taken without increasing computer storage requirements. Simply supported and clamped edge conditions are exacfly satisfied, while the free edge condition is approximately satisfied as a natural boundary condition. A selective reduced integration scheme is used to avoid locking in the fhin plate limit. Three examples are considered demonstrating the accuracy and efficiency of the method.
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References
1.
Cheung, Y. K. (1968a). “Finite strip method in the analysis of elastic plates with two opposite simply supported ends.” Proc., Inst. Civ. Engrs., 40(5), 1–7.
2.
Cheung, Y. K. (1968b). “Finite strip method analysis of elastic slabs.” J. Engrg. Mech., ASCE, 94(6), 1365–1378.
3.
Cheung, Y. K., and Cheung, M. S. (1971). “Flexural vibrations of rectangular and other polygonal plates.” J. Engrg. Mech., ASCE, 97(2), 391–411.
4.
Dawe, D. J. (1986). “The analysis of shear‐deformable plates using finite strip elements.” Finite Element Methods for Plate and Shell Structures, Vol. 2: Formulations and Algorithms, T. J. R. Hughes and E. Hinton, eds., Pineridge Press. Swansea, U.K., 102–126.
5.
Dym, C. L., and Shames, I. H. (1973). Solid mechanics: A variational approach. McGraw‐Hill Book Co. Ltd., New York, N.Y.
6.
Golley, B. W., Grice, W. A., and Petrolito, J. (1987). “Plate bending analysis using finite strip‐elements.” J. Struct. Engrg., ASCE113(6), 1282–1296.
7.
Hinton, E., and Owen, D. J. R. (1984). Finite element software for plates and shells. Pineridge Press, Swansea, U.K.
8.
Hughes, T. J. R., Taylor, R. L., and Kanoknukulchai, W. (1977). “A simple and efficient finite element for plate bending.” Int. J. Num. Meth. Engrg., 11, 1529–1543.
9.
Mindlin, R. D. (1951). “Influence of rotary inertia and shear on flexural motions of isotropic elastic plates.” J. Appl. Mech., 18, 31–38.
10.
Ofiate, E., and Suarez, B. (1983). “A comparison of the linear, quadratic and cubic Mindlin strip elements for the analysis of thick and thin plates.” Comp. Struct., 17, 427–439.
11.
Timoshenko, S. P., and Woinowsky‐Krieger, S. (1959). Theory of Plates and Shells, 2nd Ed., McGraw‐Hill Book Co., Inc., New York, N.Y.
12.
Zienkiewicz, O. C. (1977). The finite element method, McGraw‐Hill Book Co. Ltd., London, U.K.
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Copyright © 1989 ASCE.
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Published online: Jun 1, 1989
Published in print: Jun 1989
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