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...

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...

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...

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 ...

in this paper, asymmetric buckling analysis of functionally graded (fg) circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. this plate is on an elastic medium that simulated by winkler and pasternak foundation. mechanical properties of the plate are assumed to vary nonlinearly by temperature change. the equili...