Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading

Table 5

Comparison of the first six natural frequency coefficients for a SS-C-SS-C plate under bending moment in  𝑥-direction (𝛼=2).

𝜆=𝑎/𝑏	𝑁/𝑁crit	Solution	Ω1	Ω2	Ω3	Ω4	Ω5	Ω6
	0	[A]	13.6858	23.6465	38.6942	42.5871	51.6767	58.647
		[B]	13.69	23.65	—	42.59	51.67	—
0.5	0.5	[A]	11.4936	24.152	37.9343	38.8757	52.632	58.7048
		[B]	11.49	24.15	37.93	—	52.63	—
	0.95	[A]	3.92178	24.906	27.6496	39.3337	52.6657	58.8581
		[B]	3.926	24.91	27.65	—	52.66	—
	0	[A]	28.9509	54.7433	69.3271	94.5862	102.217	129.096
		[B]	28.95	54.74	69.33	94.59	102.2	—
1	0.5	[A]	27.4647	45.9744	69.6407	87.2215	96.6079	129.164
		[B]	27.47	45.97	69.65	87.22	96.61	—
	0.95	[A]	15.6871	23.3557	46.9793	70.3963	99.624	110.599
		[B]	15.70	23.37	46.96	70.41	99.63	110.6
	0	[A]	95.2625	115.803	156.357	218.973	254.138	277.308
		[B]	95.26	115.8	156.4	—	254.1	277.3
2	0.5	[A]	94.7438	109.859	137.29	183.897	254.214	254.254
		[B]	94.76	109.9	137.3	183.9	254.2	—
	0.95	[A]	62.7485	77.444	93.4166	93.4229	101.133	187.917
		[B]	62.82	77.50	93.46	93.47	—	—

[A]: present approach and [B]: [3].