Singularities for uniformly moving and static concentrated forces on shallow circular cylindrical shells are obtained in terms of the integrals of the products of cylindrical and circular functions. Some relations between the solutions of Helmholtz’s equation and the solutions of bi-Helmholtz’s equation are also given.
Singular solutions are constructed which generate the singularities for great many types of concentrated action on shallow spherical and cylindrical shells. Subsequently a technique is introduced to construct the Green’s functions for closed circular cylindrical shells. Also, the deformation of thin plates subjected to moving hot spots is discussed briefly.
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