In this study, nonlinear vibration of a composite cable is investigated by considering nonlinear stress-strain relations. The composite cable is composed of an aluminum wire as reinforcement and a rubber coating as matrix. The nonlinear governing equations of motion are derived about to an initial curve and based on the fundamentals of continuum mechanics and the nonlinear Green-Lagrangian stra...

Based on scaling arguments the governing equations for turbulent flows are classified. The similarity for stratified and rotating flows is characterized and the conditions for a hydrostatic assumption are shown for several flow regimes. For stratified rotating flow a scale analysis of the turbulent stresses exhibits different classes of second order closure. The complete sets of the governing e...

The incompressible Navier-Stokes equations describe a wide range of problems in fluid mechanics. They are composed of an equation in mass conservation and two momentum conservation equations, one for each Cartesian velocity component. The dependent variables will be the pressure p and the velocity components u and v in the x and y directions respectively. The use of numerical methods to solve t...

The goal of this paper is to prove the well-posedness for the governing equations which are used for cylindrical cloaking simulation. A new time-domain finite element scheme is developed to solve the governing equations. Numerical results demonstrating the cloaking phenomenon with the cylindrical cloak are presented. We finally extend the analysis and simulation to an elliptical cloak model.

We study the process of destruction synchronous oscillations in a model two interacting microbubble contrast agents exposed to an external ultrasound field. Completely this are possible case identical bubbles, when governing system equations possess symmetry leading existence synchronization manifold. Such can be destructed without breaking corresponding dynamical system. Here we describe pheno...

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-...