In this paper, we deal with the elastic vibrations of flexible structures modeled by the ‘standard linear model’ of viscoelasticity in n-dimensional space. We study the uniform exponential stabilization of such kind of vibrations after incorporating separately very small amount of passive viscous damping and internal material damping of Kelvin-Viogt type in the model. Explicit forms of exponent...

The effects of amine functionalization of carbon nanotubes (CNTs) and CNTs weight percent (wt. %), on the first bending natural frequencies and damping properties of CNT/epoxy composites are investigated in this paper. CNTs and amine functionalized CNTs (AFCNTs), with two different weight percentages, are used to manufacture the beam shaped specimens. Epoxy, CNT/epoxy (0.25 and 0.5 wt. % of CNT...

in this paper, we present an analytical method for solving a well-posed boundary value problem of mathematical physics governing the vibration characteristics of an internal flow propelled fluid-structure interaction where the pipeline segment is idealized as an elastic hollow beam conveying an incompressible fluid on a viscoelastic foundation. the effect of coriolis and damping forces on the o...

We consider the following Helmholtz problem which models the propagation of a wave of frequency ω > 0 and velocity of propagation c > 0 in an unbounded homogeneous medium:  ∆u + k2u = 0 in ΩE, u = g on Γ, lim r→∞ √ r ( ∂u ∂r − iku ) = 0, where k := ω/c is the wave number, ΩE := R\ΩI, with ΩI ⊂ R2 being a simply connected bounded domain with regular boundary Γ, and g ∈ H 1 2 (Γ) is a given...

Abstract Direct numerical simulation of counterflow flames using compressible flow formulation has encountered many numerical difficulties associated with inflow and outflow boundary conditions. In this study, one of the most critical issues is found to be careful consideration of transverse terms in the standard local one-dimensional inviscid (LODI) relations. While this issue applies to the g...

The effect of fine particles on turbulence damping and reduction of flow friction coefficient in ribleted pipes, have been investigated experimentally. Tests have been conducted in a ribleted pipe with hydraulic diameter of 18.6 mm, and 20 stream wise riblets of 1.8 mm depth, along the pipe. Flows of water tap with Reynolds number from 5000 to 30000 were compared with flows containing silt-clay...

This paper is concerned with the solvability and uniform stability of a hyperbolic equation with spatially varying coefficients of viscosity and elasticity and boundary damping.

Two types of damping are commonly applied to describe ferromagnets at the macroscopic level: one by Landau and Lifshitz, and the other by Gilbert. This work successively applies the methods of irreversible thermodynamics to insulators, insulating paramagnets, and uniform insulating ferromagnets, in the last case uniquely obtaining Landau-Lifshitz damping. These methods are then applied to non-u...

A d'Alembert-based solution of forced wave motion with internal and boundary damping is presented with the specific intention of investigating the transient response. The dynamic boundary condition is a convenient method to model the absorption and reflection effects of an interface without considering coupled PDE's. Problems with boundary condition of the form [Formula: see text] are not self-...

Linear dynamics of Euler-Bernoulli beams with non-viscous non-local damping is considered. It is assumed that the damping force at a given point in the beam depends on the past history of velocities at different points via convolution integrals over exponentially decaying kernel functions. Conventional viscous and viscoelastic damping models can be obtained as special cases of this general damp...