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Transition scenario to turbulence in thin vibrating plates

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Fig. 1 shows two typical measurements obtained for excitation frequencies f exc =151 Hz and 290 Hz respectively
Table 1: Eigenfrequencies (analytical values, in Hz) of the selected plate for the simulations, L x = 0.4m, L y = 0.6m, h=1 mm, E= 200 GPa, ν=0.3 and ρ=7860 kg.m −3 .
Table 2: Convergence of numerical eigenfrequencies on selected frequency bands. For each value of f S , the number of grid points used in the scheme is given, as well as the maximum deviation ∆ i f on four frequency intervals.
Figure 3: Transverse vibration and energy of an undamped plate excited at 87 Hz. (a): transverse dis- dis-placement w out at one point on the plate and history of the dimensioned loading amplitude ¯ A on the right axis
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