Abstract
In the paper, on the basis of the solution of the biharmonic problem for a smooth semi-strip and the method of the integral Fourier transform, is constructed the exact solution of a nonhomogeneous boundary value problem for a semi-strip clamped at the end (a concentrated force is applied inside the domain along the horizontal axis). The solution is constructed on the superposition principle in the form of the sum of integrals and series in trigonometric functions and Papkovich–Fadle eigenfunctions. The coefficients of these expansions are determined by simple formulas as the Fourier integrals of given boundary functions.
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