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Optimum Elastic Restraint for Pressurised Circular Plates

Published online by Cambridge University Press:  04 July 2016

Charles W. Bert*
Affiliation:
Solid and Structural Mechanics Research Group, Battelle Memorial Institute

Summary

For uniform-thickness, solid circular plates made of isotropic elastic material and elastically restrained at the edge, expressions are derived for the optimum support stiffness to minimise the following quantities:

  1. 1. The largest effective stress based on several different strength theories.

  2. 2. The largest effective stress per unit of maximum deflection or per unit volume displaced.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1963

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References

1.Kitching, R.Optimum Support Position for Flat Plate Subjected to Pressure. Journal of the Royal Aeronautical Society, Vol. 65, pp. 832834, December 1961.CrossRefGoogle Scholar
2.Galletly, G. D.Optimum Design of Thin Circular Plates on an Elastic Foundation. Proc. of the Institution of Mech. Engineers, Vol. 173, No. 27, pp. 687698, 1959.CrossRefGoogle Scholar
3.Reismann, H.Bending and Buckling of an Elastically Restrained Circular Plate. Journal of Applied Mechanics, Vol. 19, Trans. ASME, Vol. 74, pp.167172, June 1952.Google Scholar