The dynamic response of an elastic strip foundation lying on elastic soil with saturated substrata is greatly affected by pore pressure induced by a rocking moment. In this paper, we explore the mixed boundary-value problem of the rocking vibration of an elastic strip foundation on elastic soil with saturated substrata via Biot dynamic equations. First, the wave equations concerning both the si...

In this study, the buckling and free vibration of Timoshenko beams resting on variable elastic foundation analyzed by means of a new finite element formulation. The Winkler model has been applied for elastic foundation. A two-node element with four degrees of freedom is suggested for finite element formulation. Displacement and rotational fields are approximated by cubic and quadratic polynomia...

This study develops a comprehensive vibrational analysis of rotating nanobeams on visco-elastic foundations with thermal effects based the modified couple stress and Eringen’s nonlocal elasticity theories. approach accurately simulates size effects. Higher-order shear deformation beam theory generalized differential quadrature method are used to obtain numerical results. The parameters, length ...

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...