Abstract An extended meshfree method is employed in this paper for investigating the dynamic behaviour of cracked plates based on first-order shear deformation theory (FSDT). The FSDT a straightforward formulation with assumption as its name implies, which appropriate relatively thick plates. In study, chosen an alternative to conventional mesh-based methods model plate structures. Among variou...

The free vibration of the lattice cylindrical composite shell reinforced with Carbon Nano-tubes (CNTs) was studied in this study. The theoretical formulations are based on the First-order Shear Deformation Theory (FSDT) and then by enforcing the Galerkin method, natural frequencies are obtained. In order to estimate the material properties of the reinforced polymer with nano-tubes, the modified...

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...

This paper presents a new finite modelling of the nonlinear static bending analysis piezoelectric functionally graded (FG) sandwich plates resting on elastic foundations. Finite element formulations are derived by using first-order shear deformation theory (FSDT) Mindlin and method. The proposed mathematical model this work verified comparing results with those other methods, they in good agree...

Fundamental frequencies of solid and annular elliptical plates were approximated using the static deflections by means finite element method (FEM) without computing eigenvalues. The problem was formulated within framework first order shear deformation theory (FSDT). effects (i) inner outer boundary conditions, (ii) size perforation, (iii) aspect ratio, (iv) thickness plate on performance examin...

As a first endeavour, nonlinear dynamic response of the glass fibre-reinforced​ epoxy (GRE) laminated composite cylindrical shells under an impulse load is investigated based on first-order shear deformation theory (FSDT) shells. Green’s strain and von Kármán hypothesis are assumed to consider geometrical nonlinearity due large in model. A new solution procedure composed differential quadrature...

In this paper, transverse and longitudinal vibration of nonlinear plate under exciting of orbiting mass is considered based on first-order shear deformation theory. The nonlinear governing equation of motion are discretized by the finite element method in combination with Newmark’s time integration scheme under von Karman strain-displacement assumptions. For validation of method and formulation...

The present paper provides a semi-analytical solution to obtain the displacements and stresses in a functionally graded material (FGM) rotating thick cylindrical shell with clamped ends under non-uniform pressure. Material properties of cylinder are assumed to change along the axial direction according to a power law form. It is also assumed that the Poisson’s ratio is constant. Given the exist...

In this paper, the vibrational and buckling analysis of a cylindrical sandwich panel with an elastic core under thermo-mechanical loadings is investigated. The modeled cylindrical sandwich panel as well as its equations of motions and boundary conditions is derived by Hamilton’s principle and the first-order shear deformation theory (FSDT). For the first time in the present study, various bound...