in this article, vibration analysis of an euler-bernoulli beam resting on a pasternak-type foundation is studied. the governing equation is solved by using a spectral finite element model (sfem). the solution involves calculating wave and time responses of the beam. the fast fourier transform function is used for temporal discretization of the governing partial differential equation into a set ...

in this study, nonlocal nonlinear instability and the vibration of a double carbon nanotube (cnt) system have been investigated. the visco-pasternak model is used to simulate the elastic medium between nanotubes, on which the effect of the spring, shear and damping of the elastic medium is considered. both of the cnts convey a viscose fluid and a uniform longitudinal magnetic field is applied t...

In this article, dynamic modeling of double walled cylindrical functionally graded (FG) microshell is studied. Size effect of double walled cylindrical FG microshell are investigated using modified couple stress theory (MCST). Each layer of microshell is embedded in a viscoelastic medium. For the first time, in the present study, has been considered, FG length scale parameter in double walled c...

Theoretical research has numerous challenges, particularly about modeling structures, unlike experimental analysis, which explores the mechanical behavior of complex structures. Therefore, this study suggests a new model for functionally graded shell structures called “Tri-coated FGM” using spatial variation material properties to investigate free vibration response incorporating porosities and...

Abstract This article re-examines the nonlinear vibration and bending responses of porous sandwich cylindrical panels reinforced by graphene platelets resting on elastic foundations in thermal environments. The platelet-reinforced composite (GPLRC) core is assumed to be multilayers, each layer may have different porosity coefficient values achieve a piece-wise functionally graded pattern. By in...

This work presents a novel computational approach, the DSC regularized Dirac-delta method, for vibration analysis of functionally graded graphene-platelet reinforced (FG-GPLR) porous beams resting on Winkler–Pasternak elastic foundation under moving load. Based Timoshenko beam theory, energy functional model is represented by newly constructed basis function and minimized variational principle....

This manuscript develops for the first time a mathematical formulation of dynamical behavior bi-directional functionally graded porous plates (BDFGPP) resting on Winkler–Pasternak foundation using unified higher-order plate theories (UHOPT). The kinematic displacement fields are exploited to fulfill null shear strain/stress at bottom and top surfaces without needing factor correction. gradation...