ON CHAOTIC OSCILLATIONS OF A LAMINATED COMPOSITE CYLINDER SUBJECT TO PERIODIC APPLICATION OF TEMPERATURE

Citation
J. Argyris et al., ON CHAOTIC OSCILLATIONS OF A LAMINATED COMPOSITE CYLINDER SUBJECT TO PERIODIC APPLICATION OF TEMPERATURE, Chaos, solitons and fractals, 9(9), 1998, pp. 1529-1554
Citations number
20
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,Physics,"Physycs, Mathematical
ISSN journal
09600779
Volume
9
Issue
9
Year of publication
1998
Pages
1529 - 1554
Database
ISI
SICI code
0960-0779(1998)9:9<1529:OCOOAL>2.0.ZU;2-V
Abstract
In the present study, we explore and confirm the chaotic behaviour of a laminated composite cylinder subjected to a rapid periodic heat load . The laminated cylinder comprises eight layers of carbon-epoxy materi al and is supported by end diaphragms. The analysis is performed using the natural-mode finite element method. An irregular signal and an at tractor is obtained. Taken's method is used to reconstruct the attract or. For the time series, the largest Lyapunov exponents and the correl ation dimension are computed. Various tests are performed in order to distinguish chaos from noise. Thus the proof for the existence of chao s is formally established. (C) 1998 Elsevier Science Ltd. All rights r eserved.