In this paper, static analysis of functionally graded annular plate resting on elastic foundation with various boundary conditions is carried out by using a semi-‍analytical approach‍ (SSM‍-DQM). The differential governing equations are presented based on the three dimensional theory of elasticity. The plate is assumed isotropic at any point, while material properties to vary exponentially thro...

Immiscible flows arise in many diverse applications mechanical, chemical, and environmental engineering. Such involve interfacial conditions often feature mass (species) diffusion. Motivated by non-Newtonian duct processing, the present article a comprehensive mathematical model computational simulation with modified cubic B-spline-Differential Quadrature method (MCB-DQM) is described for unste...

the harmony search algorithm is applied to optimum designs of a functionally graded (fg)-carbon naotubes (cnts)-reinforced pipes conveying fluid subjected to moving load. the structure is modeled by reddy cylindrical shell theory and the motion equations are derived by hamilton's principal. based on differential quadrature method (dqm), the dynamic displacement of system is derived. the le...

in this paper, dynamic analysis of the composite truncated sandwich conical shells (stcs) with various boundary conditions subjected to low velocity impact was studied analytically, based on higher order sandwich panel theory. impact was assumed to occur normally over to the top face-sheet and the contact force history is predicted using two solution models of the motion are derived based on ha...

in this study, thermo-mechanical nonlinear vibration of a polyethylene (pe) cylindrical shell embedded in an elastic foundation was investigated. the shell is reinforced by armchair carbon nanotubes (cnts) where characteristics of the equivalent composite being determined using mori-tanaka model. the elastic medium is simulated using the spring constant of the winkler-type,  . employing nonline...

In this paper, it is tried to find an approximate single layer equivalent for multi-layer graphene sheets based on third order non-local elasticity theory. The plates are embedded in two parameter Winkler-Pasternak elastic foundation, and also the thermal effects are considered. A uniform transverse load is imposed on the plates. Applying the non-local theory of Eringen based on third order she...

In the last few decades, many numerical methods have been developed and employed to solve for various types of linear nonlinear equations due challenges in aspect implementation governing boundary conditions, computation time, algorithm complexity, accuracy, convergency, stability solution so on. Of open literature, differential quadrature (DQM), transform (DTM), finite difference (FDM) are exp...

In this paper, conjugate heat transfer of magneto hydrodynamic mixed convection of nanofluid about a vertical slender hollow cylinder embedded in a porous medium with high porosity have been numerically studied. The Forchheimer’s modification of Darcy’s law was used in representing the nanofluid motion inside the porous media. The governing boundary layer equations were transformed to non-dimen...

Increasing applications of laminated composite structures necessitate the development equivalent single layer (ESL) models that can achieve similar accuracy but are more computationally efficient than 3D or layer-wise models. Most ESL displacement-based do not guarantee interfacial continuity shear stresses within laminates. A possible remedy is enforcement interlaminar equilibrium in variation...

In this paper, two kinds of vibrations are considered for a composite Timoshenko rotor: longitudinal-torsional vibration and two plane transverse one. The kinetic and potential energies and virtual work due to the gyroscopic effects are calculated and the set of six governing equations and boundary conditions are derived using Hamilton principle. Differential quadrature method (DQM) is used as ...