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In this paper, dynamic response of non-prismatic elastic beam resting on elastic foundation and subjected to moving distributed masses is investigated. To obtain the solution of the fourth order partial differential equations with singular and variable coefficients governing the motion of the structural member, an elegant mathematical procedure involving the Mindlin and Goodman's technique, the generalized Galerkin method and the asymptotic Struble's technique with the series representation of the Heaviside function. Various results obtained from the analysis of the closed form solutions are presented in plotted curves and fully discussed. MSC 2010: 74H45,74K10

Response characteristics of non-uniform beam with time-dependent boundary conditions and under the actions of travelling distributed masses