A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates

A review of theories for the modeling and analysis of functionally graded plates and shells

Stress and strain recovery for functionally graded free-form and doubly-curved sandwich shells using higher-order equivalent single layer theory

Vibration behaviors of functionally graded rectangular plates with porosities and moving in thermal environment

A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation

Three-dimensional exact solution for the free vibration of arbitrarily thick functionally graded rectangular plates with general boundary conditions

A general Fourier solution for the vibration analysis of composite laminated structure elements of revolution with general elastic restraints

A unified method for the vibration and damping analysis of constrained layer damping cylindrical shells with arbitrary boundary conditions

The main purpose of this paper is to investigate free vibration behaviors of functionally graded sector plates with general boundary conditions in the context of three-dimensional theory of elasticity. Generally, the material properties of functionally graded sector plates are assumed to vary continuously and smoothly in thickness direction. However, the changes in the material properties may occur in the other directions, such as radial direction. Therefore, two types of functionally graded annular sector plates are considered in the paper. In this work, both the Voigt model and Mori-Tanaka scheme are adopted to evaluate the effective material properties. Each of displacements of annular sector plate, regardless of boundary conditions, is expressed as modified Fourier series which consists of three-dimensional Fourier cosine series plus several auxiliary functions introduced to overcome the discontinuity problems of the displacement and its derivatives at edges. To ensure the validity and accuracy of the method, numerous examples for isotropic and functionally graded sector plates with various boundary conditions are presented. Furthermore, new results for functionally graded sector plates with elastic restraints are given. The effects of the material profiles and boundary conditions on the free vibration of the functionally sector plates are also studied.

Three-dimensional free vibration analysis of functionally graded annular sector plates with general boundary conditions

Rotating machine fault diagnosis method based on nonlinear ICA (Independent Component Analysis) of improved particle swarm

Siyang Gao

Papers

Three-dimensional exact solution for the free vibration of arbitrarily thick functionally graded rectangular plates with general boundary conditions

A general Fourier solution for the vibration analysis of composite laminated structure elements of revolution with general elastic restraints

A unified method for the vibration and damping analysis of constrained layer damping cylindrical shells with arbitrary boundary conditions

Three-dimensional free vibration analysis of functionally graded annular sector plates with general boundary conditions

Rotating machine fault diagnosis method based on nonlinear ICA (Independent Component Analysis) of improved particle swarm