Dynamic analysis of soil-structure interaction shear model for beams on transversely isotropic viscoelastic soil

Dynamic response problem of the Timoshenko shear beam resting on the transversely isotropic viscoelastic foundation and subjected to a moving load is investigated. The extended Hamilton's principle is used to obtain the dynamic response equations of the beam-soil system. The corresponding partial differential equations are derived using variational principle. Using the analytical solutions, finite-element method, and central difference method, these differential equations are solved and mutually verified. The Newmark-β iterative algorithm is employed to decouple the dynamic equations of the beam-soil system. A modified two-parameter spring foundation model is used to simulate the dynamic characteristics of soil medium. Finite-element analysis demonstrates that the developed shear model of beam-soil is effective and accurate. Other numerical examples are carried out to analyze the effect of the shear beam, the load speed, and transverse isotropy of the dynamic medium model.