An Improved Fourier Series Method for the Free Vibration Analysis of the Three-Dimensional Coupled Beams

Table 4

The natural frequencies for the coupled beams with 90° and 45° coupling angle (f/Hz).

Angle	Model	1	2	3	4	5
= 90°	Current	91.35	129.47	192.02	361.90	396.75
	ANSYS	91.94	129.91	193.24	365.96	400.69
	Error%	0.64	0.34	0.64	1.12	0.99
	Model	6	7	8	9	10
	Current	712.21	738.02	1136.14	1161.20	1312.90
	ANSYS	727.85	754.31	1158.00	1183.50	1343.50
	Error%	2.20	2.21	1.92	1.92	2.33
= 45°	Current	86.63	128.99	219.10	362.03	430.76
	ANSYS	86.15	128.54	217.32	358.03	425.28
	Error%	0.56	0.35	0.82	1.12	1.29
	Model	6	7	8	9	10
	Current	718.88	762.77	1106.60	1177.80	1191.00
	ANSYS	703.84	755.18	1096.20	1154.53	1170.87
	Error%	2.14	1.00	0.95	2.02	1.72