Numerical analysis solving the elastic dynamic problem

The purpose of this work is to present a numerical method for solving a problem of dynamic structures. For that, we use the Newmark algorithm and the finite element method for time and space discretisations, respectively. We prove the efficiency of the Newmark scheme in which the sum of elastic and kinetic energies is conserved. We conduct also numerical computations aiming to determine the influence of numerical parameters in terms of time step and mesh size on energy conservation.

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