Determination of prestress fields in structures is the utmost importance, since they have a significant impact on operational characteristics, and their level distribution must be strictly controlled. In this paper, we present modeling bending vibrations solid annular round inhomogeneous prestressed plates within framework Timoshenko hypotheses. New inverse problems identification are studied b...

in this research three-dimensional free vibration analysis of functionally graded circular plate with various boundary conditions is achieved. a semi-analytical method, which makes use of the state space method and the one-dimensional differential quadrature method, is used to obtain the vibration frequencies and dynamic responses of circular plates. numerical results are given to demonstrate t...

In present study, thermo-elastic buckling analysis of multi-layer orthotropic annular/circular graphene sheets is investigated based on Eringen’s theory. The moderately thick and also thick nano-plates are considered. Using the non-local first and third order shear deformation theories, the governing equations are derived. The van der Waals interaction between the layers is simulated for multi-...

A generalized solution procedure is developed for in-plane free vibration of rectangular and annular sectorial plates with general boundary conditions. For the annular sectorial plate, the introduction of a logarithmic radial variable simplifies the basic theory and the expression of the total energy. The coordinates, geometric parameters and potential energy for the two different shapes are or...

Acoustic properties of the metamaterial graded absorber, also known as ``acoustic black hole'', are studied in linear regime. The absorber consists thin metallic circular plates, each with a central perforation, separated by annular air cavities. Radius perforation plate is gradually decreasing distance from to front surface, forming channel staircase radius profile. A semi-analytical equivalen...

in this paper, asymmetric buckling analysis of functionally graded (fg) circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. this plate is on an elastic medium that simulated by winkler and pasternak foundation. mechanical properties of the plate are assumed to vary nonlinearly by temperature change. the equili...