Structural Dynamics Modelization of One-Dimensional Elements on Elastic Foundations under Fast Moving Load

The present doctoral thesis deals with the dynamic response of one-dimensional structural elements, of both finite and infinite extension, lying on a continuous elastic foundation, under a high-velocity moving load. Pertaining finite systems, the transient response of a simply-supported Euler-Bernoulli beam resting on spatially uniform Winkler nonlinear elastic foundations under a concentrated harmonic moving load is studied by an autonomous FEM implementation. In addition, two analytical solutions for the static deflection of the same beam on a spatially varying Winkler elastic support are derived. Regarding infinite systems, the steady-state responses of a taut string and a Euler-Bernoulli beam, resting on a Winkler and a Pasternak support, respectively, under a concentrated moving load are analysed by an effective Discontinuous Least-Squares Finite Element Method (DLSFEM) coupled with an original Perfectly- Matched Layer (PML).