In this study a vibration analysis was performed of an isotropic cylindrical shell submerged in fluid, resting on Winkler and Pasternak elastic foundations for simply supported boundary condition. Love’s thin theory exploited strain- curvature- displacement relationship. Shell problem solved by using wave propagation approach. Influence fluid as well were studied the natural frequencies shells....

Abstract Variational principles and variationally consistent boundary conditions are derived for a system of double Rayleigh beams undergoing vibrations subject to axial loads. The elastic layer connecting the modelled as three-parameter nonlinear Winkler–Pasternak with Winkler having linear components Pasternak only component. forced freely vibrating beam using semi-inverse approach. Hamilton’...

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 the present research, free vibration and modal stress analyses of thin circular plates with arbitrary edge conditions, resting on two-parameter elastic foundations are investigated.  Both Pasternak and Winkler parameters are adopted to model the elastic foundation. The differential transform method (DTM) is used to solve the eigenvalue equation yielding the natural frequencies and mode shape...

The bending and free vibration of porous functionally graded (PFG) beams resting on elastic foundations are analyzed. material features the PFG beam assumed to vary continuously through thickness according volume fraction components. foundation medium is also considered be linear, homogeneous, isotropic, modeled using Winkler-Pasternak law. hyperbolic shear deformation theory applied for kinema...

the available shear correction factors have mainly been developed for homogeneous isotropic plates and/or assuming that no shear tractions are imposed on the top and bottom surfaces of the plate. in the present research, a more general case of a circular functionally graded plate subjected to non-uniform normal and shear tractions at the top and bottom surfaces is considered. these non-uniform ...

In this study the effect of thermal stress on the torsional buckling of double walled carbon nanotubes is investigated. Moreover based on nonlocal continuum mechanic the buckling governing equations are obtained and equilibrium of Equations is generalized to double wall nanotubes. Also in this study the elastic medium, small scale effect and van der Walls force are considered. Also for simulati...