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
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.