Nonlinear dynamic analysis of FG/SMA/FG sandwich cylindrical shells using HSDT and semi ANS functions: Fid-Bau Portal

Nonlinear dynamic analysis of FG/SMA/FG sandwich cylindrical shells using HSDT and semi ANS functions

Ramezani, Mohammadreza / Rezaiee-Pajand, Mohammad / Tornabene, Francesco

Abstract Nonlinear dynamic analysis of FG/SMA/FG sandwich shells on elastic foundations subjected to the thermomechanical loading is performed in this paper for the first time. The sandwich shells are made of a shape memory alloy (SMA) fiber-reinforced composite and functionally graded (FG) face sheets. Material properties of FGM shells are assumed to be temperature dependent and graded in the thickness direction according to the power-law distribution in terms of the volume fractions of the constituents. The modified Brinson phenomenological model is employed to determine the constitutive characteristics of SMA fibers. The governing equations are established using the higher-order shear deformation theory (HSDT) enriched by semi assumed natural strain (ANS) functions. The nonlinear equations of motion are solved by the Airy’s stress function, the Galerkin method and the fourth-order Runge–Kutta method. In numerical results, the effects of material properties, geometrical parameters, elastic foundations, imperfections and thermal loads on the nonlinear dynamic analysis of FG/SMA/FG hybrid shells are investigated.

Highlights • An analytical approach is proposed based on the higher-order shear deformation theory (HSDT) enriched by semi assumed natural strain (ANS) functions. • Material properties of FG/SMA/FG sandwich shells are calculated by using the power-law distribution and the modified Brinson model. • The nonlinear equations of motion are solved by the Airy’s stress function, the Galerkin method and the fourth-order Runge–Kutta method. • Nonlinear dynamic analysis of FG/SMA/FG sandwich shells on elastic foundations subjected to the thermomechanical loading is investigated.