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

Figure 7

(a) (1,1) mode, (b) (2,1) mode, (c) (3,1) mode, and (d) (4,1) mode structural-acoustic peak ratios versus excitation level (a = 2 m, b = c = 0.5 m, ξ = 0.02, and N = 4).

(a)

(b)

(c)

(d)