Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct

Figure 4

(a) Symmetric and (c) antisymmetric vibration amplitude versus excitation frequency for various damping ratios (κ = 0.2, a = 3 m, b = c = 0.5 m, and N = 4); (b) symmetric and (d) antisymmetric sound radiation versus excitation frequency for various damping ratios (κ = 0.2, a = 3 m, b = c = 0.5 m, and N = 4).

(a)

(b)

(c)

(d)