Vibration Analysis of Conical Shells by the Improved Fourier Expansion-Based Differential Quadrature Method

Table 1

Comparison of the natural frequency parameters under variable circumferential wave numbers (°, , and ).

	C-C			S-S			F-C		F-S
	Present	Shu [7]	Irie et al. [6]	Present	Shu [7]	Irie et al. [6]	Present	Irie et al. [6]	Present	Irie et al. [6]
0	0.8731	0.8732	0.8731	0.2234	0.2233	0.2233	0.8696	0.8696	0.1435	0.1441
1	0.8120	0.8120	0.8120	0.5460	0.5463	0.5462	0.7634	0.7634	0.1660	0.1667
2	0.6696	0.6696	0.6696	0.6307	0.6310	0.6310	0.5289	0.5292	0.1152	0.1158
3	0.5430	0.5428	0.5430	0.5063	0.5062	0.5065	0.363	0.3637	0.1007	0.1017
4	0.4568	0.4566	0.4570	0.3944	0.3942	0.3947	0.2818	0.2829	0.1467	0.1474
5	0.4092	0.4089	0.4095	0.3341	0.3340	0.3348	0.2767	0.2779	0.2089	0.2093
6	0.3965	0.3963	0.3970	0.3239	0.3239	0.3248	0.3184	0.3196	0.2729	0.2743
7	0.4144	0.4143	0.4151	0.3512	0.3514	0.3524	0.3762	0.3775	0.3345	0.3361
8	0.4569	0.4568	0.4577	0.4019	0.4023	0.4033	0.4398	0.4411	0.3970	0.3985
9	0.5177	0.5177	0.5186	0.4670	0.4676	0.4684	0.5103	0.5116	0.4655	0.4670