6.6 Chaotic Dynamics of the Size-Dependent Flexible Beams
173
Table 6.2 Numerical results for the Bernoulli–Euler model (l/ h = 0.3, t ∈ [300; 5300]) [reprinted
with permission from International Journal of Non-Linear Mechanics publishers]
Table 6.3 Numerical results for the Bernoulli–Euler model (l/ h = 0.3, t ∈ [2500; 5300])
[reprinted with permission from International Journal of Non-Linear Mechanics publishers]
(b) phase portrait ˙
w[w(t)];
(c) 2D wavelet spectrum based on the mother Morlet wavelet.
6.6.1.1 The Bernoulli–Euler Model for l/h = 0.3
The Fourier spectrum exhibits six frequencies ω p = 9, ω 1 = 1.91, ω 2 = 2.73, ω 3 =
3.55, ω 4 = 4.372, ω 5 = 8.181. They are coupled through the following resonance
conditions: 2 · ω 2 + ω 3 = ω p , ω 2 − ω 1 = ω 3 − ω 2 = ω 4 − ω 3 = ω p − ω 5 .
Therefore, the frequency ω 2 plays a role of independent frequency, whereas the
remaining frequency is linearly dependent, i.e. we have two-frequency regime. The