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

Table 2

(a) Acoustic mode convergence for various amplitudes (1st resonant frequency). (b) Acoustic mode convergence for various amplitudes (2nd resonant frequency).

(a)  

	No. of acoustic modes = 1	4	9
𝐴/𝑡=0.2	0.64363	0.64348	0.64348
0.6	0.66148	0.66140	0.66139
1	0.67762	0.67759	0.67759
1.4	0.68723	0.68721	0.68721

(b)  

	No. of acoustic modes = 1	4	9
𝐴/𝑡=0.2	1.07985	1.07786	1.07781
0.6	1.19770	1.19539	1.19534
1	1.40935	1.40661	1.40655
1.4	1.67018	1.66715	1.66709