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Thermal Stresses in Rectangular Plates*

Published online by Cambridge University Press:  07 June 2016

J. S. Przemieniecki
J. S. Przemieniecki*
Affiliation:
Bristol Aircraft Limited
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Summary

The characteristic functions for beam vibration modes are used to derive an approximate solution for the calculation of thermal stresses in rectangular isotropic flat plates subjected to arbitrary temperature distributions in the plane of the plate and constant temperatures through the plate thickness. The thermal stresses are obtained in the form of generalised Fourier expansions in terms of the characteristic functions, and their derivatives, representing normal modes of vibration of a clamped-clamped beam. Since these functions have recently been tabulated, the practical application of this new method to the thermoelastic stress analysis of plates presents no difficulty.

Type
Research Article
Information
Aeronautical Quarterly , Volume 10 , Issue 1 , February 1959 , pp. 65 - 78
Copyright
Copyright © Royal Aeronautical Society. 1959

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Footnotes

*

This paper is based on Chapter 8 of a Ph.D. thesis approved by the University of London(5);it was written while the author was at the Imperial College of Science and Technology, London.

References

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