A General Fourier Formulation for In-Plane and Out-of-Plane Vibration Analysis of Curved Beams

Table 2

The first ten-order dimensionless natural frequency Ω of the curved beam varies with the value of K_u1.

Stiffness value	0	10^2	10^4	10^6	10^8	10^10	10^12	10^14
	0.00	2.56	7.76	8.09	8.10	8.10	8.10	8.10
	10.28	10.28	10.28	10.28	10.28	10.28	10.28	10.28
	27.79	27.80	27.84	27.85	27.85	27.85	27.85	27.85
	28.80	28.80	28.80	28.80	28.80	28.80	28.80	28.80
	46.94	47.84	54.46	54.95	54.95	54.95	54.95	54.95
	56.81	56.81	56.81	56.81	56.81	56.81	56.81	56.81
	74.04	75.49	92.14	92.21	92.21	92.21	92.21	92.21
	92.58	92.60	93.97	93.97	93.97	93.97	93.97	93.97
	93.97	93.97	110.46	117.88	117.96	117.96	117.96	117.96
	140.10	140.10	140.10	140.10	140.10	140.10	140.10	140.10