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

نویسندگانA. Ghorbanpour Arani , F. Kiani
نشریهSTEEL COMPOS STRUCT
شماره صفحات149
شماره مجلد28
ضریب تاثیر (IF)3.899
نوع مقالهFull Paper
تاریخ انتشار2018-07-25
رتبه نشریهعلمی - پژوهشی
نوع نشریهالکترونیکی
کشور محل چاپایران
نمایه نشریهSCOPUS ,JCR

چکیده مقاله

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.

tags: microbeam; nonlinear vibrations; modified couple stress theory; orthotropic visco-Pasternak