this study investigates natural frequency analysis of an fg composite rectangular plate partially contacting with a bounded fluid. the material properties are assumed to be varying continuously through the thickness direction according to a simple power law distribution in terms of volume fraction of material constituents. wet dynamic transverse displacements of the plate are approximated by a ...

natural vibration analysis of plates represents an important issue in engineering applications. in this paper, a new and simplify method for vibration analysis of circular and rectangular plates is presented. the design of an effective robust controller, which consistently attenuates transverse vibration of the plate caused by an external disturbance force, is given. the dynamics of the plate i...

A popular approach to modeling bimolecular reactions between diffusing molecules is through the use of reactive boundary conditions. One common model is the Smoluchowski partial adsorption condition, which uses a Robin boundary condition in the separation coordinate between two possible reactants. This boundary condition can be interpreted as an idealization of a reactive interaction potential ...

A multiphase model for liquid-solid and solid-liquid phase transitions is developed using the framework of the general equation for the nonequilibrium reversible-irreversible coupling (GENERIC). The morphology is described by the cluster size distribution function, including both unstable embryos as well as stable crystallites, for which a diffusion equation is proposed. The driving forces ther...

Using heuristic arguments based on the trace formulas, we analytically calculate the semiclassical two-point correlation form factor for a family of rectangular billiards with a barrier of height irrational with respect to the side of the billiard and located at any rational position p/q from the side. To do this, we first obtain the asymptotic density of lengths for each family of periodic orb...

In this paper we address again the issue of the scale anomaly in quantum mechanical models with inverse square potential. In particular we examine the interplay between the classical and quantum aspects of the system using in both cases an operatorial approach.

Reduction of dimensionality is crucial for the deeper understanding of the mechanism for large-amplitude conformational transitions of complex molecules. By taking up a six-atom cluster as an illustrative example, we present a general methodology to understand conformational transitions of molecules in terms of the low-dimensional dynamics of molecular gyration radii. The dynamics of gyration r...

The complexity of ERP implementation can create high profile failures. Technology transfer scholars identify a difference in culture, either organizational or national, as a potential barrier to successful implementation of any complex technology. We explore this barrier to ERP system quality and consider user support, top management support and consultant quality as possible factors for success.

Based on a single particle model which describes the time evolution of the wave function during tunneling across a one dimensional potential barrier we study the proton decay of Pb from excited states with non-vanishing angular momentum `. Several quantities of interest in this process like the decay rate , the period of oscillation Tosc, the transient time ttr, the tunneling time ttun and the ...

In this paper, we prove some fixed point theorems for ordered Reich type contraction in cone rectangular metric spaces without assuming the normality of cone. Our results generalize and extend some recent results in cone rectangular metric spaces, cone metric spaces and rectangular metric space. Some examples illustrating the results are included.