Natural Frequency Analysis of Two Nonlinear Panels Coupled with a Cavity Using the Approximate Elliptic Integral Solution and the Method of Harmonic Residual Minimization

Table 1

(a) Acoustic mode and harmonic convergences of the frequency ratio of an aluminum plate (in-phase mode, vibration amplitude/thickness = 1). (b) Acoustic mode and harmonic convergences of the frequency ratio of an aluminum plate (out of phase mode, vibration amplitude/thickness = 1).

(a)

/	Number of harmonic terms = 1	2	3	4
Number of acoustic modes = 1	1.3981	1.3981	1.3981	1.3981
4	1.3961	1.3962	1.3962	1.3962
9	1.3961	1.3961	1.3961	1.3961
16	1.3961	1.3961	1.3961	1.3961
25	1.3961	1.3961	1.3961	1.3961

(b)

/	Number of harmonic terms = 1	2	3	4
Number of acoustic modes = 1	2.9676	2.9676	2.9676	2.9676
4	2.9505	2.9505	2.9505	2.9505
9	2.9502	2.9502	2.9502	2.9502
16	2.9502	2.9502	2.9502	2.9502
25	2.9502	2.9502	2.9502	2.9502