Axisymmetric Vibration of Piezo-Lemv Composite Hollow Multilayer Cylinder

Table 2

Different values of complex frequencies for real wave numbers in the second axial mode of piezocomposite Hollow cylinder.

Wave no	Frequencies
(ε)	With middle core LEMV; (𝑁=0.33) [24]	With middle core; CFRP-3 layer [4]	With middle core; CFRP-5 layer
0.1	0.3865 + i 0.0755	0.7015 + i 0.2708	0.3000 + i 0.0000
0.4	0.5392 + i 0.1051	0.7581 + i 0.0019	0.5000 + i 0.0000
0.8	0.7020 + i 0.0289	0.8230 + i 0.0083	0.6120 + i 0.0001
1.2	1.2581 + i 0.0000	1.1999 + i 0.0000	0.0728 + i 0.0004
1.6	1.4854 + i 0.0006	1.5999 + i 0.0000	0.8250 + i 0.0000
2.0	1.6464 + i 0.0015	1.9996 + i 0.0000	0.9280 + i 0.0000
2.4	2.0180 + i 0.5477	2.3986 + i 0.0002	1.1000 + i 0.0000
2.8	2.1510 + i 0.7166	2.7998 + i 0.0000	1.3000 + i 0.0001
3.0	2.5692 + i 0.0038	3.0524 + i 0.1521	1.4000 + i 0.0007