Open AccessGeneralized synchronization by coupling of restoring force and determination of parameters in vibration systems
Author(s) -
Weiyang Qin,
Wang Hong-Jin,
Gao Hang-shan
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.42
Subject(s) - vibration , amplitude , synchronization (alternating current) , restoring force , physics , harmonic , coupling (piping) , duffing equation , mechanical system , control theory (sociology) , harmonic oscillator , excited state , mathematical analysis , classical mechanics , computer science , acoustics , nonlinear system , mathematics , topology (electrical circuits) , quantum mechanics , materials science , control (management) , combinatorics , artificial intelligence , metallurgy
For a class of vibration systems excited by external harmonic forcegenerally the restoring force cannot be given an accurate analytical expression. For such system, a derived system of generalized synchronization (GS) is set up. The GS between the two systems is proved. Since there is no time element in the equations of the derived systemthe derived system can reach GS with the original system automaticallyeven if the frequency and amplitude of external force are varied. By using GSa novel method to determine parameters in a vibration systeme.g.the damping coefficient and the amplitude and frequency of external exciting forceis presented and proved. From the simulation of Duffing systemit can be seen that the presented method is effective and can give a result of high accuracy.