In this article we derive error estimates for the Galerkin approximation of a general linear second order hyperbolic partial differential equation. The results can be applied to a variety of cases e.g. vibrating systems of linked elastic bodies. The results generalize the work of Baker [1] and also allow for viscous type damping. Splitting the proofs for the semidiscrete and fully discrete case...

A viscoelastic rod model which includes damping has been used to simulate the spinal column mathematically. This one-dimensional rod was subjected to a ramp input acceleration and the theoretical acceleration at the end of the rod was compared to the experimental head acceleration data from previously conducted cadaver t&s. The agreement between the experimental and theoretical results is bette...

Modal control and spatial filtering technologies for vibration and/or structural acoustics radiation mitigation may be implemented through the use of distributed modal piezoelectric transducers with properly shaped electrodes which, in order to increase the robustness and stability of the controlled structural system, turn undesirable mode’s contributions unobservable and uncontrollable over th...

The oscillatory behaviour of a T-tail has been investigated at high subsonic Mach numbers on an aero-elastic model having tailplane settings of zero and three degrees. There is broadly satisfactory agreement between calculated and measured values of modal frequency and damping. The comparison has been based mainly on the flutter margin criterion of Zimmerman and Weissenburger, since the more co...

Elastic and dissipative properties of granular assemblies under uniaxial compression are studied both experimentally and by numerical simulations. Following a novel compaction procedure at varying oscillatory pressures, the stress response to a step strain reveals an exponential relaxation followed by a slow logarithmic decay. Simulations indicate that the latter arises from the coupling betwee...

The main purpose of this paper is concerned with the sensitivity analysis of main rotor dynamic response pertaining to variation of some relevant system parameters effectively supports the preliminary design of both articulated and hingeless helicopter rotor configurations. The methodology is laid out based on Galerkin solution of partial differential equation (PDE) of main rotor with flexible ...

We address the system of partial differential equations modeling motion of an elastic body inside an incompressible fluid. The fluid is modeled by the incompressible Navier-Stokes equations while the structure is represented by the damped wave equation with interior damping. The additional boundary stabilization γ, considered in our previous paper, is no longer necessary. We prove the global ex...

In this paper, we study the stability problem of a star-shaped network elastic strings with local Kelvin-Voigt damping. Under assumption that damping coefficients have some singularities near transmission point, prove semigroup corresponding to system is polynomially stable and decay rates depend on speed degeneracy. This result improves rate associated an earlier Z. Liu Q. Zhang in [21] involv...

EASUREMENTS of the elasticity of isolated aortic specimens are complicated by the nonlinear mechanical behavior of such tissues. Nonlinearity occurs in both static and dynamic measurements. Krafka, 1-2 in a series of studies on the static elasticity of isolated aortic strips, computed 3 elastic moduli, each at a different elongation. These moduli differed from each other and varied independentl...