This paper presents a modified variational principle for the treatment of thin plate bending on an elastic foundation. The foundation may be of the Winkler or Pasternak type. A hybrid Trefftz (HT) finite-element (FE) model has been developed based on the principle and a new set of T-complete functions. The derivation of the new set of trial functions is based mainly on the resolution approach o...

The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler-Pasternak foundation. The crack action is simulated by a line spring model. Also, the differential quadrature method with a geometric mapping are applied to study the free vibration o...

It has been observed from previous large earthquakes that weakening the structural foundation can reduce damage of structure itself by allowing a rocking motion to release seismic energy, and this design philosophy is gradually applied new constructions. In paper, simplified model process rigid block proposed, equation derived, parameter analysis carried out. was found height–width ratio dampin...

This paper is concerned with the analysis of bending edge waves travelling in a thick Kirchhoff-type piezoelectric film resting on Winkler–Fuss foundation. The electromechanical coupling accounted for defining flexural rigidities to embrace and dielectric material constants. Dynamics solved analytically demonstrated numerically by assuming harmonic wave propagation. It observed that an increase...

In this paper, static response and buckling analysis of functionally graded saturated porous beam resting on Winkler elastic foundation is investigated. The beam is modeled using higher-order shear deformation theory in conjunction with Biot constitutive law which has not been surveyed so far. Three different patterns are considered for porosity distribution along the thickness of the beam: 1) ...