Non Local Vibration of Damped Viscoelastic—FGM-Beam (original) (raw)

Proceedings of the Third International Symposium on Materials and Sustainable Development, 2018

Abstract

This study presents a mechanical model to predict the effective damped viscoelastic behavior of a functional grading material (FGM). A detailed parametric study is carried out to elucidate the dynamic response of an Euler-Bernoulli beam with finite length on the basis of the non-local Eringen theory which reveal the influence of the material proprieties, nonlocal parameter and the viscoelastic parameter on the vibratory frequency of the system, we obtain the analytical solutions for the vibratory frequency of the system with boundary conditions. The applicability and the effectiveness of the model presented are demonstrated in canonical numerical examples.

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