In the present study the free vibration analysis of the functionally graded rectangular nanoplates is investigated. The nonlocal elasticity theory based on the exponential shear deformation theory has been used to obtain the natural frequencies of the nanoplate. In exponential shear deformation theory an exponential functions are used in terms of thickness coordinate to include the effect of tr...

Based on the Frobenius series method, stresses analysis of the functionally graded rotating thick cylindrical pressure vessels (FGRTCPV) are examined. The vessel is considered in both plane stress and plane strain conditions. All of the cylindrical shell properties except the Poisson ratio are considered exponential function along the radial direction. The governing Navier equation for this pro...

this article deals with the buckling analysis of perfectly bonded cross-ply laminated composite plates reinforced by wavy carbon nanotubes (cnts) under in-plane loads using element free galerkin (efg) method based on first-order shear deformation theory (fsdt). the wavy single-walled cnts and poly-co-vinylene are used for the fibers and the matrix, respectively. the cnt fibers are distributed i...

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...

This paper aims to investigate the pull-in phenomenon of functionally graded (FG) capacitive nanocantilevers subjected to an electrostatic force and thermal moment due to an applied voltage and thermal shock considering intermolecular force within the framework of nonlocal elasticity theory to account for the small scale effect. The FG nano-beam is made of mixture of metal and ceramic which the...

In this research, the effect of rotation on the free vibration is investigated for the size-dependent cylindrical functionally graded (FG) nanoshell by means of the modified couple stress theory (MCST). MCST is applied to make the design and the analysis of nano actuators and nano sensors more reliable. Here the equations of motion and boundary conditions are derived using minimum potential ene...

Functionally graded material (FGM) is an advanced class of composite material. In FGM, the volume fraction each constituent can be tailor-made across thickness for desired applications. this paper, analytical solution and numerical simulation free vibration transient heat conduction problem in a functionally pipe are considered. 3D elasticity theory adopted considering effect natural frequency ...

This paper proposes a new general framework of higher-order shear deformation theory (HSDT) and solves the structural responses functionally graded (FG) plates using novel exponential shape functions for Ritz method. Based on fundamental equations elasticity theory, displacement field is expanded in unified form which can recover to many different plate theories such as zeroth-order third-order...

This study presents nonlinear vibration of functionally graded-graphene platelet-reinforced composite (FG-GPLRC) beams under various time-dependent forces. Their material distributions are characterized by continuous functions with four patterns reinforcement which uniform, linear and parabolic I II. The third-order shear deformation theory is used to represent the displacement fields, while ge...

Over the past decades, numerous damage diagnosis techniques based on modal flexibility have been studied and developed for various types of structures, but rarely structures made functionally graded (FG) materials. This paper aims to present extensive applicability a sensitivity-based index termed as MFBDI identification FG beams. The formulation this is closed-form sensitivity derived from dir...