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The structural dynamics analysis of one-dimensional elements (strings, beams) on continuous elastic support under high-velocity moving load is the main subject of the present doctoral dissertation. Two main types of mechanical systems have been considered, of a finite and of an infinite extension. Through ad hoc formulations and autonomous implementations, physical dynamic response characteristics of taut string/beam-foundation systems are revealed by virtue of analytical and numerical approaches, both in the linear and in the nonlinear regimes. First, two explicit closed-form analytical solutions relative to the static deflection of a finite Euler-Bernoulli elastic beam lying on aWinkler elastic foundation with space-dependent stiffness coefficient are derived. Then, a FEM implementation is developed to investigate the transient dynamic response of a simply-supported Euler-Bernoulli beam resting on spatially homogeneous Winkler nonlinear elastic foundations under the action of a transverse concentrated moving load, with a constant velocity and harmonic-varying magnitude in time. Regarding the analysis of infinite systems, the steady-state responses of a uniform infinite taut string and of a uniform infinite Euler-Bernoulli elastic beam, both resting on an elastic support and subjected to a concentrated transverse moving load, are numerically obtained by an original Discontinuous Least-Squares Finite Element Method (DLSFEM) and by effective Perfectly-Matched Layer (PML) implementations. In particular, concerning the steady-state response of the beam a wholly new, Perfectly Matched Layer (PML) for the underlying fourth-order differential problem is analytically formulated and implemented. In addition, a universal closed-form analytical solution is derived for the infinite beam moving load problem, apt to represent the response for all possible beam-foundation parameters. The present thesis demonstrates the reliability and effectiveness of all the derived analytical-numerical solutions, through extensive parametric analyses, carried out for interpreting the parametric variation of the mechanical response of the considered systems due to changes in their characteristic mechanical properties.

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