A transient perturbation applied to a limb held in a given posture can induce oscillations. To restore the initial posture, the neuromuscular system must provide damping, which is the dissipation of the mechanical energy imparted by such a perturbation. Despite their importance, damping properties of the neuromuscular system have been poorly characterized. Accordingly, this paper describes the ...

In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping, dispersion, and source terms under Dirichlet boundary condition. Under some restrictions on the initial datum standard conditions relaxation functions, study global existence general decay solutions. The results obtained here are generalization previous recent work.

In this paper, a high-order iterative technique for solving wave equation with strong damping and nonlinear viscoelastic term is constructed. For purpose, we adapt the method used in earlier works establish existence theorem of recurrent sequence associated proposed problem. Thereafter, prove N-order convergence obtained to unique solution

WITH PASSIVE DAMPING by Thomas E. Alberts, Ph.D Candidate Gordon G. Hastings, Ph.D Candidate Wanye J. Book, Professor and ,Stephen L. Dickerson, Professor Department of Mechanical Engineering Georgia Institute of Technology Atlanta, Georgia 30332 This paper presents a hybrid active and passive control scheme for control ling the motion of a lightweight flexible arm. A straightforward developeme...

We investigate in this work a singular one-dimensional viscoelastic system with nonlinear source term, distributed delay, nonlocal boundary condition, and damping terms. By the theory of potentialwell, existence global solution is established, by energy method functional Lyapunov, we prove exponential decay result. This an extension Boulaaras? ([3] [27]).

We consider the following viscoelastic equation involving variable exponent nonlinearities:$ u_{tt}-\Delta u+\displaystyle {\int }_0^tg(t-s)\Delta u(s){{{\text{d}}}} s+a|u_{t}|^{m(x)-2}u_{t} = |u|^{q(x)-2}u. $Due to failure of embedding inequality for supercritical case, well-known technique is unsuccessful in our problem. To do this, strategy give a priori estimate weighted integral $ \display...