Abstract

This chapter deals with the study of the dynamics of continuous mechanical systems using the approximated finite element discretization approach. The general methodology used to define the matrix equations of motion in the case of vibration problems is described. Cable, beam and “taut beam” finite elements are analysed as examples of application; notions regarding two-dimensional and three-dimensional finite elements are shown. The basics concepts regarding the finite element method approach for nonlinear systems and methods of numerical integration of the nonlinear equations of motion are introduced.

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