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

Figure 3

(a) Symmetric and (c) antisymmetric vibration amplitude versus excitation frequency for various source excitation magnitudes (a = 3 m, b = c = 0.5 m, ξ = 0.02, and N = 4); (b) symmetric and (d) antisymmetric sound radiation versus excitation frequency for various source excitation magnitudes (a = 3 m, b = c = 0.5 m, ξ = 0.02, and N = 4); (e) radiation efficiency versus excitation frequency for various structural modes.

(a)

(b)

(c)

(d)

(e)