Abstract
The Wiener‒Hopf technique is used to solve the problem of the flexure of a plate in the form of an infinite strip, simply supported on part of the boundary, and clamped on the remainder. The factorization of the kernel function is performed exactly by means of the generalized factorial function, which has been defined for this purpose. The transverse deflexion is then obtained as a Fourier integral. The case of uniform loading has been taken as a particular example. On evaluating the integral by residue theory the deflexion is obtained in the form of suitable eigenfunction expansions. These are used to compute the actual deflexion at various points in the plate. The nature of the singularity due to the change in boundary conditions is also discussed.
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11 articles.
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