MATEC Web Conf.
Volume 148, 2018International Conference on Engineering Vibration (ICoEV 2017)
|Number of page(s)||8|
|Section||New Trends in Analytical Approaches to Nonlinear Vibration|
|Published online||02 February 2018|
The nonlinear thermomechanical vibration of a functionally graded beam on Winkler-Pasternak foundation
University Politehnica Timisoara, 300222 Bd. Mihai Viteazu 1, Timisoara, Romania
2 Center for Advanced Technical Research, Romanian Academy Branch of Timisoara, Bd. Mihai Viteazu 24, Timisoara, Romania
* Corresponding author: email@example.com
By using the Optimal Auxiliary Functions Method (OAFM), nonlinear free thermomechanical vibration of functionally graded beam (FGB) on Winkler-Pasternak elastic foundation is studied. Based on von Karman geometric nonlinearity, on Euler-Bernoulli beam theory and also on Galerkin procedure we obtain a second-order nonlinear differential equation with quadratic and cubic nonlinear terms. The results obtained by means of OAFM are compared and shown to be in an excellent agreement with available solutions known in the literature.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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