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

Figure 4

(a) The 1st nonlinear resonant frequency versus 𝜔_𝑠/𝜔_𝑎 (𝐴/𝑡=0.4, 0.8, 1.2 mm). (b) The 2nd nonlinear resonant frequency versus 𝜔_𝑠/𝜔_𝑎 (𝐴/𝑡=0.4, 0.8, 1.2 mm).

(a)

(b)