December 2012
Intermediate to advanced
900 pages
25h 26m
English
Content preview from Collected Works of H. S. Tsien (1938-1956)
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The Buckling of Spherical Shells by External Pressure*
The general theory of thin shells was developed by A. E. H. Love. He assumed small deflections and for that reason neglected in the energy expression all terms higher than quadratic, and thus obtained linear differential equations for the determination of the equilibrium position of a shell under given forces. The theory of buckling of thin shells is also based essentially on Love’s equations. The buckling of cylindrical shells of uniform thickness under the action of a uniformly distributed axial load was calculated by R. Lorentz, R. V. Southwell, S. Timoshenko, W. Flügge, L. H. Donnell, and others. The same problem ...
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