Comparison Study on the Exact Dynamic Stiffness Method for Free Vibration of Thin and Moderately Thick Circular Cylindrical Shells

Table 3

Natural frequencies of the thin-walled cylinder with different boundary conditions (Hz).

BCs	Model	I flexural	II flexural	I shell-like	II shell-like	I torsional	II torsional
S-S	Present thin	14.025	51.506	14.851	22.931	80.790	161.579
	Present thick	14.021	51.502	14.828	22.877	80.792	161.585
	NAS2D [23]	13.978	51.366	14.913	22.917	80.415	160.810
	Reference [23]	14.022	51.503	18.405	25.460	80.786	161.573
	Reference [13]	14.294	51.567	18.608	25.574	80.639	162.551
C-C	Present thin	28.577	69.110	17.350	30.239	80.790	161.579
	Present thick	28.574	69.105	17.327	30.193	80.792	161.585
	NAS2D [23]	28.498	68.960	17.396	30.225	80.415	160.810
	Reference [23]	28.576	69.110	20.484	32.222	80.786	161.573
	Reference [13]	28.354	69.096	20.463	31.974	80.838	161.579
C-F	Present thin	5.081	29.092	14.153	17.427	40.395	121.184
	Present thick	5.076	29.086	14.140	17.370	40.396	121.188
	NAS2D [23]	5.059	29.001	14.235	17.435	40.209	120.620
	Reference [23]	5.077	29.090	23.069	25.239	40.394	121.181
	Reference [13]	5.047	29.002	23.003	24.979	40.431	121.203
F-F	Present thin	30.939	77.045	14.036	14.105	80.788	161.576
	Present thick	30.931	77.038	14.032	14.076	80.792	161.585
	NAS2D [23]	30.829	76.806	14.129	14.171	80.415	160.810
	Reference [23]	30.932	77.043	22.987	23.053	80.789	161.577
	Reference [13]	30.945	77.052	22.864	23.048	80.787	161.592