Bending of an elliptic plate with a confocal hole

Seth, B. R. (1949) Bending of an elliptic plate with a confocal hole The Quarterly Journal of Mechanics and Applied Mathematics, 2 (2). pp. 177-181. ISSN 0033-5606

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Official URL: http://qjmam.oxfordjournals.org/content/2/2/177.ab...

Related URL: http://dx.doi.org/10.1093/qjmam/2.2.177

Abstract

An approximate solution for the bending of a thin elliptic plate with a confocal hole subjected to uniform pressure and clamped at the edges is discussed. The numerical results obtained are compared with those for a complete plate. It is found that the maximum deflexion win occurs near the inner boundary. For the plate bounded by ellipses whose semi-axes are (1·6c, 1·249c) and (1·14c, 0·548c) it is found that win is almost one-fifth the value for the plate complete up to the outer boundary. By making the minor axis of the hole vanishingly small the interesting case of an elliptic plate with a clamped crack can be treated.

Item Type:Article
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ID Code:71003
Deposited On:22 Nov 2011 13:11
Last Modified:22 Nov 2011 13:11

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