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

Figure 2

(a) Comparison of the symmetric and (b) antisymmetric vibration amplitude results from the proposed method and classical harmonic balance method (κ = 0.5, a = 3 m, b = c = 0.5 m, ξ = 0.02, and N = 4).

(a)

(b)