In the present analysis, an infinite Euler– Bernoulli beam of constant cross-section resting on an elastic foundation is considered. The beam and foundation are assumed to be homogeneous and isotropic. The foundation is modeled using one parameter without damping. The beam is subjected to a constant point load moving with a constant speed along the beam. An effort has been made to find the solu...

This paper presents a hybrid–Trefftz finite element algorithm designated as fictitious load approach. Its originality resides in the formulation and practical application of concepts which make it possible to account for the unilateral contact conditions of a plate without modification of the finite element mesh. To reach this aim, the approach allows the movable interface between the contact a...

Static analysis of shear deformable plates resting on two-parameter foundations is presented by the method of discrete singular convolution (DSC). The influence of foundation parameters on the deflections of the plate has been investigated. Numerical studies are performed and the DSC results are compared well with other analytical solutions and some numerical results.

The dynamic behaviour of a circular plate in contact with fluid and resting on two-parameter elastic foundations is of interest in the field of geotechnics, structure, highway, railway, oil and gas and mechanical engineering. In this work, the dynamic behaviour of circular plate in contact with fluid and resting on Winkler and Pasternak foundations is investigated. The coupled differential equa...

Soft hydraulics, which addresses the interaction between an internal flow and a compliant conduit, is central problem in microfluidics. We analyze Newtonian fluid rectangular duct with soft top wall at steady state. The resulting fluid–structure formulated for both vanishing finite inertia. At leading-order small aspect ratio, lubrication approximation implies that pressure only varies streamwi...