𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The energy envolope of a randomly excited non-linear oscillator

✍ Scribed by J.B. Roberts

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
405 KB
Volume
60
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The exact differential equation for the energy envelope of a randomly excited non-linear oscillator is approximated by a time-averaging procedure. The resulting equation shows that, if the damping is sufficiently light and the correlation time scale of the excitation process is sufficiently small, the energy envelope can be approximated as a one-dimensional Markov process, governed by an appropriate Fokkcr-Planck equation. The physical significance of the various terms in this latter equation is emphasized.

πŸ“œ SIMILAR VOLUMES

RESPONSE SPECTRAL DENSITIES AND IDENTIFI
RESPONSE SPECTRAL DENSITIES AND IDENTIFICATION OF A RANDOMLY EXCITED NON-LINEAR SQUEEZE FILM OSCILLATOR
✍ S. Bellizzi; R. Bouc; M. Defilippi; P. Guihot πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 292 KB

The concept of linear systems with random coefficients is used to obtain an analytical approximation of the power spectral density (PSD) function of the response of an oscillator with non-linear inertia, damping and stiffness terms. To identify the parameters involved in the non-linear terms, a proc

Analysis of a randomly excited non-linea
Analysis of a randomly excited non-linear stretched string
✍ G. Tagata πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 583 KB

In the frequency region such that the non-linear terms arise from the fact that a string stretches in oscillation, when a narrow band random external force is applied, for a long period, to the string, it has been observed in digital simulation results that there is a small amplitude for which the a