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A method for solving problems of elastic plates of arbitrary shape

Published online by Cambridge University Press:  09 April 2009

J. Mazumdar
J. Mazumdar
Affiliation:
University Adelaide Adelaide, S.A..
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The methods developed up to now in the theory of plates do not lend themselves easily to the solution of problems in the case of plates of arbitrary shape. Such methods lend themselves only to the solution of problems for plates of certain special simple shapes. Moreover, because of the complicated mathematical tools involved in these methods, the methods are not suitable for engineers. Hence there arises the need for the formulation of an approximate theory which may appear quite suitable for attacking problems on plates of arbitrary shape. In the present paper the author develops a new method which aims at the solution of the problem quite independently of the shape of the plate.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 1 , February 1970 , pp. 95 - 112
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Timoshenko, S., Woinowsky-Krieger, S., Theory of Plates and Shells (Second Ed., McGraw Hill Book Co., 1959).Google Scholar
[2]Galerkin, B. G., Thin Elastic Plates (Gostekhizgat, 1933 in Russian).Google Scholar
[3]Mazumdar, J., Bending and Stability of Plates of arbitrary shape (Ph. D. Dissertation, Moscow State University, Moscow, 1965, in Russian).Google Scholar
[4]Mazumdar, J., Ustoichivost plastinok proizvolnogo ochertaniya, Vestnik, Moscovskkogo Univ.-ta, Serlja 1, No. 6, (1966) (in Russian).Google Scholar