This paper deals with nonlinear vibration analysis using finite element method for frame structures consisting of elastic and viscoelastic damping layers supported by multiple nonlinear concentrated springs with hysteresis damping. The frame is supported by four nonlinear concentrated springs near the four corners. The restoring forces of the springs have cubic non-linearity and linear componen...

We present results for step-strain experiments and the resulting damping functions of polyethylene blends of different structures, including solutions of linear, star and comb polymers. Remarkably, an entangled melt of combs exhibits a damping function close to that for entangled linear chains. Diluting the combs with fasterrelaxing material leads to a more nearly constant damping function. We ...

A prescription is given for performing numerical simulations of field theory in Minkowski space using the Langevin equation. By introducing a weak damping term we find that the Langevin equations relax to their equilibrium values in a rather modest amount of time. As an example, we calculate the Green functions for both the harmonic and anharmonic oscillators. We study both analytically and num...

utt −Δu+ g1(ut) = f1(u, v), vtt −Δv + g2(vt) = f2(u, v) in a bounded domain Ω ⊂ Rn with Robin and Dirichlét boundary conditions on u and v respectively. The nonlinearities f1(u, v) and f2(u, v) have supercritical exponents representing strong sources, while g1(ut) and g2(vt) act as damping. In addition, the boundary condition also contains a nonlinear source and a damping term. By employing non...

In the current study, the effects of Casimir force and squeeze film damping on pull-in instability and dynamic behavior of electrostatically actuated nano and micro electromechanical systems are investigated separately. Linear elastic membrane theory is used to model the static and dynamic behavior of the system for strip, annular and disk geometries. Squeeze film damping is modeled using nonli...

The asymptotic behavior as well as the global existence of classical solutions to the 3D compressible Euler equations are considered. For polytropic perfect gas P ρ P0ρ , time asymptotically, it has been proved by Pan and Zhao 2009 that linear damping and slip boundary effect make the density satisfying the porous medium equation and the momentum obeying the classical Darcy’s law. In this paper...

Abstract In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping α ( e β ∣ u 2 − 1 ) \alpha \left({e}^{\beta | u{| }^{2}}...

<p style='text-indent:20px;'>In this paper, we introduce the weak Galerkin (WG) finite element method for Stokes equations with damping. We establish WG numerical scheme on general meshes and prove well-posedness of scheme. Optimal error estimates velocity pressure are derived. Furthermore, in order to accelerate algorithm, present a two-level give corresponding estimates. Finally, some e...