Fig. 6.26 Dynamics of the non-shallow arch. Post-transient phase plane trajectories (left),
poincaré sections (middle) and power spectra (right). (a) X = 2.25: period-2, ^ k
2 ¼ À0:007;
(b) X = 2.295: period-16, ^ k 1 ¼ À0:03; (c) X = 2.318: quasi-periodic, ^ k 1 % 0; (d) X = 2.4:
chaotic, ^ k 1 ¼ À0:026; (for all plots q = 0.2, x = 2.44, b = 0.03, m = 3.32 and j = 2.63)
(Thomsen 1992)
374
6 Chaotic Vibrations
poincaré sections (middle) and power spectra (right). (a) X = 2.25: period-2, ^ k
2 ¼ À0:007;
(b) X = 2.295: period-16, ^ k 1 ¼ À0:03; (c) X = 2.318: quasi-periodic, ^ k 1 % 0; (d) X = 2.4:
chaotic, ^ k 1 ¼ À0:026; (for all plots q = 0.2, x = 2.44, b = 0.03, m = 3.32 and j = 2.63)
(Thomsen 1992)
374
6 Chaotic Vibrations