This paper presents new exact 3-D (three-dimensional) elasticity closed-form solutions for out-of-plane free vibration of thick rectangular single layered FG (functionally graded) plates and thick rectangular homogeneous plate coated by a functionally graded layer with simply supported boundary conditions. It is assumed that the plate is on a Winkler-Pasternak elastic foundation and elasticity ...

THE FOURIER SPECTRAL ELEMENT METHOD FOR VIBRATION ANALYSIS OFGENERAL DYNAMIC STRUCTURESbyXUEFENG ZHANGMay 2012Advisor: Dr. Wen LiMajor: Mechanical EngineeringDegree: Doctor of PhilosophyThe Fourier Spectral Element Method (FSEM) was proposed by Wen Li on the vibrationof simple beams (Li, 2000), and was extended to the vibration of rectangular plates (Li, ...

one of the causes of perturbation at vertical intakes is the happening of vortices with an air core. the vortices with an air core occur whenever the submergence of the intake is less than a critical value. anti-vortex devices and specially plates are used to avoid the negative effects of the air-core vortices. if plates are used, then the geometry of them should be studied experimentally. acco...

This study presents critical buckling of functionally graded soft ferromagnetic porous (FGFP) rectangular plates, under magnetic field with simply supported boundary condition. Equilibrium and stability equations of a porous rectangular plate in transverse magnetic field are derived. The geometrical nonlinearities are considered in the Love-Kirchhoff hypothesis sense. The formulations are compa...

In the traditional buckling analysis of rectangular plates the classical thin plate theory is generally applied, so neglecting the plating shear deformation. It seems quite clear that this method is not totally appropriate for the analysis of thick plates, so that in the following the two variable refined plate theory proposed by Shimpi (2006), that permits to take into account the transverse s...

In this paper, the effect of anisotropy on the free vibration of laminated rectangular plate supporting a localized patch mass is investigated. The two variable refined plate theory is applied to define the third order displacement field of a composite rectangular plate. The plate is considered to have simply supported boundaries. The equations of motion for rectangular plate are obtained by ca...

In this paper, nonlinear equations of motion for laminated composite rectangular plates based on the first order shear deformation theory were derived. Using a perturbation method, the nonlinear equation of motion was solved and analytical relations were obtained for natural and nonlinear frequencies. After proving the validity of the obtained analytical relations, as an alternative and simple ...