Analysis of the Nonlinear Structural-Acoustic Resonant Frequencies of a Rectangular Tube with a Flexible End Using Harmonic Balance and Homotopy Perturbation Methods : Figure 3

(a)

(b)

Figure 3: (a) The vibration amplitude ratio versus the 1st nonlinear resonant frequency (, 0.9, 1 mm). (b) The vibration amplitude ratio versus the 2nd nonlinear resonant frequency (, 0.9, 1 mm).