On the effect of viscoelasticity on behavior of gyroscopes

Micro temperature-dependent FG porous plate: Free vibration and thermal buckling analysis using modified couple stress theory with CPT and FSDT

Three-dimensional magneto-elastic analysis of asymmetric variable thickness porous FGM circular plates with non-uniform tractions and Kerr elastic foundations

Electro-mechanical vibration characteristics of functionally graded piezoelectric plates with general boundary conditions

Hygrothermal stresses in one-dimensional functionally graded piezoelectric media in constant magnetic field

In this paper, free vibration of a circular plate composed of a transversely isotropic functionally graded piezoelectric material (FGPM) placed in a uniform magnetic field is investigated. Material properties are assumed to depend on the thickness of the circular plate and they are expressed as the same exponential function of h. The problem of free vibration for the transversely isotropic FGPM circular plate with clamped and simply supported boundary conditions is solved by means of the state space method. Numerical examples and some useful discussions are given to demonstrate the significant influence of material inhomogeneity, and adopting a certain value of the graded index can optimize structures of the circular plate. This will be of particular importance in modern engineering design.

Free vibration of a FGPM circular plate placed in a uniform magnetic field

Magnetothermoelastic analysis of functionally graded hollow spherical structures under thermal and mechanical loads

Time-dependent behaviors of a FGPM hollow sphere under the coupling of multi-fields

Based on the theory of the first-order shear deformation, a new set of equilibrium equations is developed by the principle of Hamilton. Using the Giannakopoulos’ contact model, the expressions of the contact force and the central deflection for a functionally graded materials circular plate are obtained. By using the orthotropic collocation point method and Newmark method, the unknown variable functions are discreted in space domain and time domain, and the whole problem is solved by the iterative method synthetically. Numerical results show that the material compositions, geometrical parameters and the initial velocity of the striking ball have great effects on the nonlinear dynamic response of the functionally graded materials circular plate.

Nonlinear dynamic response of functionally graded materials circular plates subject to low-velocity impact:

In this paper, the thermoelastic transient behavior of a clamped circular plate composed of functionally graded material (FGM) is investigated. The material properties of the FGM circular plate are assumed to vary through the plate thickness according to a power law distribution of the volume fraction of constituent materials, except Poisson's ratio, which is assumed as constant. Based on the von Karman equation and classical theory of thin plates, the equation of motion for the FGM circular plate is derived by the Hamilton principle. The nonlinear governing equation is solved by the Galerkin method, along with Newmark's integration method, in an iterative manner. Numerical results reveal that the functional gradient index, ratio of thickness to radius, thermal and mechanical loads have significant effect on the thermoelastic transient behavior of the clamped FGM circular plate. The result presented herein may be used as a reference for solving other transient coupled problems of thermoelasticity.

Lei Yang

Papers

Free vibration of a FGPM circular plate placed in a uniform magnetic field

Magnetothermoelastic analysis of functionally graded hollow spherical structures under thermal and mechanical loads

Time-dependent behaviors of a FGPM hollow sphere under the coupling of multi-fields

Nonlinear dynamic response of functionally graded materials circular plates subject to low-velocity impact:

Thermoelastic Transient Behavior for a Clamped FGM Circular Plate