Vibration characteristics of elastic nanostructures embedded in fluid medium have been used for biological and mechanical sensing also to investigate materials properties. An analytical approach has developed this paper accurately predict toroidal vibrations an nanosphere water–glycerol mixture. The Maxwell Kelvin–Voigt models are describe the viscoelasticity fluid. influence key parameters suc...

Since shear waves in soft human tissues have been used clinics, little is known about their upper frequency behavior except that they fade out before the ultrasonic regime due to viscoelastic dissipation. Studying this bound has become a need micro-elastography aims at characterizing single cell using waves. We report through phantom experiments observation of 20.4 kHz. Moreover, it shown Kelvi...

In this paper, we present a rapid boundary stabilization of Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We introduce transformation to map states into (2+2) × hyperbolic PIDE-ODE system. Then backstepping is applied obtain control law guaranteeing closed-loop stability origin in H1 sense. Arbitrarily can be achieved adjusting par...

Abstract Aimed towards an application of ultrasound diagnosis using contrast agents, the dynamics encapsulated bubbles has been theoretically investigated under restriction a single bubble. In this paper, we extend theory for bubble or some to that many bubbles, and investigate weakly nonlinear propagation in initially quiescent incompressible liquid, uniformly containing microbubbles by shell ...

This paper investigates the parametric stability of an axially moving web subjected to non-uniform in-plane edge excitations on two opposite, simply-supported edges. The web is modeled as a viscoelastic plate whose constitutive relation obeys the Kelvin-Voigt model, and the in-plane edge excitations are expressed as the sum of a static tension and a periodical perturbation. Due to the in-plane ...

The present paper describes and provides an analytical solution for the problem of evaluating settlement load-bearing capacity weighty soil layers limited thickness resting upon incompressible bases excavation pit wall, exposure foundation to a distributed load in vicinity wall. authors developed method determining stressed state component reduced engineering based on Ribere–Faylon trigonometri...

We study the qualitative and numerical behavior of a thermodiffusion Timoshenko beam with Kelvin–Voigt damping. The model, recently derived by Aouadi $ \rm et al. (2019), describes effects under classical Fourier's Fick's laws for heat mass diffusion transmission, respectively. With help semigroup theory linear operators, we prove well posedness considered problem. Without assuming well-known c...

The free and forced in-plane vibrations of axially moving plates are investigated in this work. The plate possesses an internal damping of which the constitutive relation obeys the Kelvin-Voigt model, and the excitations are arbitrarily distributed on two opposite edges. First, the equations of motion and the boundary conditions of the axially moving plate are derived. Then, the extended Ritz m...

We revisit a method originally introduced by Werder et al. (in Comput. Methods Appl. Mech. Engrg., 190:6685-6708, 2001) for temporally discontinuous Galerkin FEMs applied to a parabolic partial differential equation. In that approach, block systems arise because of the coupling of the spatial systems through inner products of the temporal basis functions. If the spatial finite element space is ...