This article presents a method for treating the doubly infinite system of simultaneous equations encountered in the small-deflection bending of clamped plates, rectangular plates in a stale of plane-stress, and certain other problems in elasticity. This method consists essentially of satisfying the boundary conditions at discrete points rather than continuously along the boundaries. A numerical example for the clamped plate problem indicates that the method may give faster convergence than the usual method of treating the equations, in some cases.
On Some Systems of Equations Encountered in Thin Plate and Elasticity Theory
H. D. Conway
Cornell University, Ithaca, N. Y.
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Conway, H. D. (March 1, 1961). "On Some Systems of Equations Encountered in Thin Plate and Elasticity Theory." ASME. J. Appl. Mech. March 1961; 28(1): 143–144. https://doi.org/10.1115/1.3640432
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