Statistical energy analysis of nonlinear vibrating systems.

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

Anisotropic energy distribution in three-dimensional vibrofluidized granular systems.

We examine the energy flows in a three-dimensional model of a granular system consisting of N inelastic hard spheres contained in an open cylinder of radius R under the influence of gravity. Energy is supplied to the system in the vertical direction by a vibrating base and is transferred to the perpendicular directions through particle-particle collisions. We examine how the local and global di...

Unified Green's function retrieval by cross-correlation; connection with energy principles.

It has been shown theoretically and observationally that the Green's function for acoustic and elastic waves can be retrieved by cross-correlating fluctuations recorded at two locations. We extend the concept of the extraction of the Green's function to a wide class of scalar linear systems. For systems that are not invariant under time reversal, the fluctuations must be excited by volume sourc...

Vibration Analysis of a Nonlinear System with a Nonlinear Absorber under the Primary and Super-harmonic Resonances (TECHNICAL NOTE)

Abstract   In vibratory systems, linear and nonlinear vibration absorbers can be used to suppress the primary and super-harmonic resonance responses. In this paper, the behavior of a nonlinear system with a nonlinear absorber, under the primary and super-harmonic resonances is investigated. The stiffnesses of the main system and the absorber are cubically nonlinear and the dampers are linear. M...