$C_{p}\left ( X\right )$ is distinguished $\Leftrightarrow$ the strong dual $L_{\beta }\left barrelled bidual $M\left ) =\mathbb {R}^{X}$. So one may judge how nearly by is, and also near dense subspace to Baire space $\mathbb Being Baire-like, always fairly close {R}^{X}$ in that sense. But if not distinguished, we show codimension of uncountable, i.e., algebraically far from {R}^{X}$, moreove...

Magnetohydrodynamic(MHD) peristaltic flow of a Couple Stress Fluid through a permeable channel is examined in this investigation. The flow analysis is performed in the presence of an External Magnetic Field. Long wavelength and low Reynolds number approach is implemented. Mathematical expressions of axial velocity, pressure gradient and volume flow rate are obtained. Pressure rise, frictional f...

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...

In this article we show exponential and polynomial decay rates for the partially viscoelastic nonlinear wave equation subject to a nonlinear and localized frictional damping. The equation that model this problem is given by utt − κ0∆u + ∫ t 0 div[a(x)g(t− s)∇u(s)] ds + f(u) + b(x)h(ut) = 0 in Ω× R, (0.1) where a, b are nonnegative functions, a ∈ C(Ω), b ∈ L∞(Ω), satisfying the assumption a(x) +...

The mechanical instabilities and viscoelastic response of individual multiwalled carbon nanotubes and nanofibers (MWCNTs/Fs) under uniaxial compression are studied with atomic force microscopy. Specific buckling events are evident by regimes of negative stiffness, i.e., marked drops in force with increasing compression. Uniaxial cyclic loading can be repeatedly executed even in initially postbu...

This paper presents numerical studies of friction-induced instabilities of brake systems using complex mode analysis. The complex eigenvalue extraction is performed at a deformed configuration; thus, nonlinear effects are taken into account in the modal analysis. An example case is used to illustrate the importance of friction-induced damping and nonlinear effects in brake squeal analysis. It i...

Squeeze film dampers (SFDs) are often used in machines with high rotational speed to reduce non-periodic behavior by creating external damping. There are some structural parameters which are of great importance in designing these systems, such as oil film thickness and inner race mass of SFD. Moreover, there is a crucial parameter associated with manufacturing process, under the title of wavine...

A mathematical model describing the law of contact gliding friction, taking into account changes in sliding states, is proposed for consideration. The generalization classical linear models friction carried out by putting more additive components allowing new state transitions frictional interaction.
 developed makes it possible to give analytic description schematic diagram slip coefficie...

This study evaluates how people represent “even if” conditionals when they have to integrate them with previous “if then” conditionals and also make an inference. The terms in the premises were ordered to facilitate their integration (Figure 1: If A then B; Even if B C). In half the cases, the “even if” conditional was expressed with a negation instead of an affirmation (If A then B; Even if no...