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

	Steel and Composite Structures Volume 28, Number 2, July25 2018, pages 149-165 DOI: 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
	Ali Ghorbanpour Arani and Farhad Kiani
Abstract [Full Text]
	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.
Key Words
	microbeam; nonlinear vibrations; modified couple stress theory; orthotropic visco-Pasternak
Address
	(1) Ali Ghorbanpour Arani, Farhad Kiani: Department of Mechanical Engineering, University of Kashan, Kashan, Iran; (2) Ali Ghorbanpour Arani: Institute of Nanoscience& Nanotechnology, University of Kashan, Kashan, Iran.