Free vibration of a magnetoelectroelastic plate resting on a Pasternak foundation is investigated based on Mindlin theory. The in-plane electric and magnetic fields can be ignored for plates. According to the Maxwell equation and magnetoelectric boundary condition, the variation of electric and magnetic potentials along the thickness direction of the plate is determined. Using Hamilton’s princi...

surface and small scale effects on free transverse vibration of a single-walled carbon nanotube (swcnt) fitted with y-junction at downstream end conveying viscose fluid is investigated in this article based on euler-bernoulli beam (ebb) model. nonlocal elasticity theory is employed to consider small scale effects due to its simplicity and efficiency. the energy method and hamilton’s principle a...

this paper is concerned with the surface and small scale effects on transverse vibration of a viscoelastic single-layered graphene sheet (slgs) subjected to an in-plane magnetic field. the slgs is surrounded by an elastic medium which is simulated as visco-pasternak foundation. in order to investigate the small scale effects, the nonlocal elasticity theory is employed due to its simplicity and ...

This study presents the effect of edge ratio and fiber orientation on free vibration analysis of simply supported antisymmetric thin and thick laminated composite plates (LCP) on elastic foundation. In the analysis, the foundation is modeled as two parameters Pasternak and Winkler type foundation. The equation of motion for laminated rectangular plates resting on elastic foundation is obtained ...

In this article, electro-thermo nonlocal nonlinear vibration and instability of viscous-fluid-conveying double–walled boron nitride nanotubes (DWBNNTs) embedded on Pasternak foundation are investigated. The DWBNNT is simulated as a Timoshenko beam (TB) which includes rotary inertia and transverse shear deformation in the formulation. Considering electro-mechanical coupling, the nonlinear govern...

In this paper, the influence of the elastic foundation on the free vibration and buckling of thin-walled piezoelectric-based functionally graded materials (FGM) cylindrical shells under combined loadings is investigated. The equations of motion are obtained by using the principle of Hamilton and Maxwell's equations and the Navier's type solution used to solve these equations. Material propertie...

in this research, static stresses analysis of boron nitride nano - tube reinforced composite (bnntrc) cylinder made of poly - vinylidene fluoride (pvdf) subjected to non - axisymmetric thermo - mechanical loads and applied voltage is developed. the surrounded elastic medium is modelled by pasternak foundation. composite structure is modeled based on piezoelectric fiber reinforced composite (pfr...