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GENERAL SOLUTION OF THE TWO-DIMENSIONAL THEORY OF ELASTICITY FOR AN ORTHOTROPIC RECTANGULAR PLATE,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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A single form of the solution of the two-dimensional problem of stresses for orthotropic rectangular plates is constructed. Unlike other solutions, it is applicable under general boundary conditions at the contour of the plate. It is assumed that body forces are absent and that the principal directions of the plate coincide with the Ox and Oy axes. The usual equations are used for the two-dimensional stressed state. The solution of the first boundary value problem of elasticity theory is used as an illustration. Formulas are obtained that allow the unknown coefficients to be determined as functions of the known coefficients of Fourier series for the external forces at the contour of the plate. The formulas allow complete solution of the first boundary value problem. The second boundary problem and diverse mixed problems can be reduced to solution of infinite systems of linear algebraic equations. Author
APPROVED FOR PUBLIC RELEASE