Abstract
Large deflections of Clamped Elliptic Plates under Uniform Load have been investigated by many authors among which the work of Nash and (Nash and Cooley, 1959) needs special mention. As a result of bending the edge of the plate tends to decrease and if the boundary of the plate is immovable, the plate is subjected to tension along the edges. The question then arises as to whether the divergence of Nash’s results from the Linear Theory is mainly due to this induced radial tension or to using a non Linear Theory. The object of this paper is to investigate this point.
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References
Mclachlan, N. W. (1947) Theory and application of Mathieu Function.
Nagdi, P. M. (1955) Journal of Applied Mechanics 22, 89–94.
Nash, W. A., and Cooley, I. D. (1959) Large Deflection of elliptic plates, ASME 26–2.
Timoshenko S. P., Woinowisky-Krieger, (1959) Theory of plates and shells, 2nd Edn. McGraw-Hiil, Newyork.
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Mondal, S. (2006). NOTE ON LARGE DEFLECTIONS OF CLAMPED ELLIPTIC PLATES UNDER UNIFORM LOAD. In: İnan, E., Kırış, A. (eds) Vibration Problems ICOVP 2005. Springer Proceedings in Physics, vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5401-3_46
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DOI: https://doi.org/10.1007/978-1-4020-5401-3_46
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-5400-6
Online ISBN: 978-1-4020-5401-3
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