Nonlinear vibration behavior of hybrid multi-scale cylindrical panels via semi numerical method

Abstract

Based on differential quadrature method (DQM), a nonlinear vibrational analysis of hybrid multi-scale cylindrical panels has been performed in this article. The mechanical properties of hybrid composites have been formulated within the framework of three-dimensional Mori-Tanaka model taking into consideration the effects of unidirectional oriented fibers and randomly dispersed carbon nanotubes (CNTs). The governing equations for cylindrical panels have been established with respect to thin shell assumptions taking into account geometrical non-linearity. Next, DQM has been used to solve the governing equations for establishing the frequency-deflection curves of the cylindrical panel. It will be exhibited that frequency-deflection curves change by the varying of CNT weight fractions, fiber orientations, fiberglass volume, panel radius and dimension of CNTs.