Author:
Eyebe Guy,Betchewe Gambo,Mohamadou Alidou,Kofane Timoleon
Abstract
In the present study, the nonlinear vibration of a nanobeam resting on the fractional order viscoelastic Winkler–Pasternak foundation is studied using nonlocal elasticity theory. The D’Alembert principle is used to derive the governing equation and the associated boundary conditions. The approximate analytical solution is obtained by applying the multiple scales method. A detailed parametric study is conducted, and the effects of the variation of different parameters belonging to the application problems on the system are calculated numerically and depicted. We remark that the order and the coefficient of the fractional derivative have a significant effect on the natural frequency and the amplitude of vibrations.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Cited by
17 articles.
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