Stress System in an Isotropic Elastic Rectangular Plate (Successive Report)

Stress Concentration in an Elastic Cosserat Plate Undergoing Extensional Deformations

The Nonlinear Thickness-shear Vibrations of an Infinite and Isotropic Elastic Plate

Thickness-shear vibrations of a plate is one of the most widely used functioning modes of quartz crystal resonators. For an analysis of vibrations, the Mindlin and Lee plate theories based on the displacement expansion of the thickness coordinate have been used as the linear theories. However, due to lacking of available method and complexity of the problem, the nonlinear thickness-shear vibrat...

Successive Standardization of Rectangular Arrays

In this note we illustrate and develop further with mathematics and examples, the work on successive standardization (or normalization) that is studied earlier by the same authors in [1] and [2]. Thus, we deal with successive iterations applied to rectangular arrays of numbers, where to avoid technical difficulties an array has at least three rows and at least three columns. Without loss, an it...

Damped Vibrations of Parabolic Tapered Non-homogeneous Infinite Rectangular Plate Resting on Elastic Foundation (RESEARCH NOTE)

 In the present paper damped vibrations of non-homogeneous infinite rectangular plate of parabolically varying thickness resting on elastic foundation has been studied. Following Lévy approach, the equation of motion of plate of varying thickness in one direction is solved by quintic spline method. The effect of damping, elastic foundation and taperness is discussed with permissible range of pa...

Dynamic Modelling and Simulation of a Flexible Rectangular Isotropic Plate Structure Using Finite Difference Methods

An investigation into the dynamic characterisation of a rectangular flexible plate structure is presented and a simulation algorithm characterising the behaviour of the plate is developed using finite difference methods. A thin, rectangular plate, with all edges clamped, is considered. The investigation is accomplished by varying the width over the length ratio of the plate. The algorithm is im...