TECHNICAL NOTES
Feb 1, 1989

Bending of Circular Plates Supported at Number of Points

Publication: Journal of Engineering Mechanics
Volume 115, Issue 2

Abstract

There are many methods available in the literature to study the static behavior of plates with different boundary conditions. Except for a few simple cases, exact solutions for plate problems are rather difficult to obtain. In many cases, one may have to resort to various approximate and numerical methods. Each method has its own merits and demerits. In this note, a new method of solving plate bending problems known as charge simulation method is introduced. This method is somewhat similar to the boundary element method, but differs from it in that the source is placed outside the domain. The method is applied to a circular plate fixed at a number of points along its edge. Experiments have been carried out to check the results presented.

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References

1.
Raamachandran, J. (1985). “Charge simulation method applied to plate bending problems.” Proc. Wrkshp. in Solid Mechanics, University of Roorkee.
2.
Raamachandran, J. (1986). “Large deflection of plates using charge simulation method.” Proc. Int. Conf. on Computational Mechanics, ICCM 86, 103–1086, Tokyo, Japan.
3.
Singer, H., Steinbigter, H., and Weiss, P. (1974). “Charge simulation method for the calculation of high voltage fields.” I.E.E.E. J. of Power Apparatus System, 93, 1660.
4.
Szilard, R. (1970). Theory and analysis of plates—classical and numerical methods. Prentice Hall of India.
5.
Timoshenko, S. P., and Krieger, S. W. (1959). Theory of plates and shells, McGraw Hill Book Company Inc., New York, N.Y.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 2February 1989
Pages: 437 - 441

History

Published online: Feb 1, 1989
Published in print: Feb 1989

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Authors

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J. Raamachandran
Asst. Prof., Dept. of App. Mech., Indian Inst. of Tech., Madras, 600036, India
G. C. Bhaskara Reddy
Grad. Student, Dept. of App. Mech., Indian Inst. of Tech., Madras

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