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On the General Theory of Heterogeneous Aeolotropic Plates

Published online by Cambridge University Press:  07 June 2016

Yehuda Stavsky*
Affiliation:
Department of Mechanics, Israel Institute of Technology
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Summary

A large deflection theory is established for the bending and stretching of aeolotropic plates with elastic moduli that vary in the x, y, z directions. The theory is formulated in terms of two simultaneous non-linear differential equations, with variable coefficients, for the transverse deflection w and an Airy stress function F. Small deflection heterogeneous plate theory and some other sub-classes of plate problems are formulated by specialising the general non-linear plate equations. Effects of initial irregularities and of a variable elastic foundation are considered.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1964

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