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http://dx.doi.org/10.12989/scs.2018.28.2.149

Nonlinear free and forced vibration analysis of microbeams resting on the nonlinear orthotropic visco-Pasternak foundation with different boundary conditions  

Arani, Ali Ghorbanpour (Department of Mechanical Engineering, University of Kashan)
Kiani, Farhad (Department of Mechanical Engineering, University of Kashan)
Publication Information
Steel and Composite Structures / v.28, no.2, 2018 , pp. 149-165 More about this Journal
Abstract
Using the modified couple stress theory and Euler-Bernoulli beam theory, this paper studies nonlinear vibration analysis of microbeams resting on the nonlinear orthotropic visco-Pasternak foundation. Using the Hamilton's principle, the set of the governing equations are derived and solved numerically using differential quadrature method (DQM), Newark beta method and arc-length technique for all kind of the boundary conditions. First convergence and accuracy of the presented solution are demonstrated and then effects of radius of gyration, Poisson's ratio, small scale parameters, temperature changes and coefficients of the foundation on the linear and nonlinear natural frequencies and dynamic response of the microbeam are investigated.
Keywords
microbeam; nonlinear vibrations; modified couple stress theory; orthotropic visco-Pasternak;
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Times Cited By KSCI : 6  (Citation Analysis)
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