مشخصات پژوهش

صفحه نخست /Nonlinear free vibration ...
عنوان
Nonlinear free vibration analysis of clamped circular ber metal laminated plates
نوع پژوهش مقاله چاپ‌شده
کلیدواژه‌ها
First order shear deformation theory; Nonlinear vibrations; Circular FML plate; Multiple time scales method.
چکیده
Nonlinear free vibration of symmetric circular Fiber Metal Laminated (FML) hybrid plates is investigated. Considering the Von Karman geometric nonlinearity, the First order Shear Deformation Theory (FSDT) is used to obtain the equations of motion. For the rst time, ve equations of motion of circular FML plates are derived in terms of plate displacements. The obtained equations are simpli ed for analyzing the rst mode of symmetric circular plates. Using the Galerkin method, ve coupled nonlinear Partial Di erential Equations (PDEs) of motion are transformed to a single nonlinear Ordinary Di erential Equation (ODE), which is solved analytically by the multiple time scales method, and an analytical relation is found for the nonlinear frequency of these plates. The obtained results are compared with the published results and good agreement is found. Moreover, the e ects of several parameters on linear and nonlinear frequencies and the free vibration response are investigated.
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