In the present contribution the nonlinear dynamics of beams under axial time-dependent excitation is studied. The beams, which are embedded in a linear viscoelastic medium, are assumed as axially graded in terms of material properties. The transversal motion equation is derived under two main hypotheses, namely the beams satisfy the requirements of Euler-Bernoulli theory and undergo moderately large deflections.

Volume Subject Area:
13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Topics:
Nonlinear dynamics, Deflection, Equations of motion, Excitation, Materials properties
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