In this study, a semi analytical method for transverse and axial vibration of single-walled boron nitride nanotube (SWBNNT) under moving a nanoparticle is presented. The surrounding elastic medium as Pasternak foundation and surface stress effect are included in the formulations of the proposed model. Using Timoshenko beam theory (TBT), Hamilton’s principle and nonlocal piezoelasticity theory, ...

The aim of this study is performing free vibration analysis segmented Timoshenko beams on two parameter elastic foundation by using the transfer matrix method (TMM). Pasternak model which has an incompressible shear layer vertical elements attached to Winkler springs was considered. formulations are based closed-form solutions equations motion were obtained. natural frequencies calculated equat...

in this study, the vibration behavior of functional graded (fg) circular and annular nanoplate embedded in a visco-pasternak foundation and coupled with temperature change is studied. the effect of in-plane pre-load and temperature change are investigated on the vibration frequencies of fg circular and annular nanoplate. to obtain the vibration frequencies of the fg circular and annular nanopla...

Abstract This study investigates the size-dependent wave propagation behaviors under thermoelectric loads of porous functionally graded piezoelectric (FGP) nanoplates deposited in a viscoelastic foundation. It is assumed that (i) material parameters obey power-law variation thickness and (ii) uniform porosity exists nanoplates. The combined effects viscoelasticity shear deformation are consider...