Nonlinear vibration of functionally graded cylindrical shells embedded with a piezoelectric layer

Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells

“…They used the Chebyshev orthogonal polynomial for discretization of the equations. Jafari et al (2014) studied the FG cylindrical shell embedded with a piezoelectric layer and used the Multi-mode Galerkin and Runge-Kutta method to provide the solution. More detailed information and references on this subject may be found in the review paper by Alijani and Amabili (2014).…”

Dynamic Stability of Bi-Directional Functionally Graded Porous Cylindrical Shells Embedded in an Elastic Foundation

“…To date, many analytical and numerical approaches have been proposed in literature to handle simple and coupled vibration problems of cylindrical shell structures, including thermo-elastic, piezoelectric, and thermo-piezoelectric multi-field problems (see refs. [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27], among others). As far as FGMs are concerned, many recent studies about the free vibration and buckling response of conventional and bi-directional FG cylindrical shells have been recently performed in literature [28][29][30][31][32][33].…”

Investigations on dynamic analysis and free vibration of FGMs rotating circular cylindrical shells

“…Strozzi and Pellicano [18] analyzed the nonlinear vibrations of FGMs circular cylindrical shells, that Sanders-Koiter theory is applied to model the nonlinear dynamics of the system in the case of finite amplitude of vibration. Nonlinear vibration problem of simply supported FGMs cylindrical shells with embedded piezoelectric layers studied by Jafari et al [19]. Sofyev et al [20] studied the frequencies and critical axial load of sandwich cylindrical shell containing an FGM S core with shear stresses, rotary inertia and subjected to axial compressive load based on Donnell's shell theory using the shear deformation theory.…”