Semi-Analytical Solution Based on Strip Method for Buckling and Vibration of Isotropic Plate

Table 2

Comparisons for the buckling forces 𝜆_cr of rectangular isotropic plates SSSS under uni-axial load 𝑁_𝑥; or 𝑁_𝑥.

𝛽	𝜆cr=−(𝑁𝑥𝑎^2/𝐷𝜋^2)			𝜆cr=−(𝑁𝑦𝑎^2/𝐷𝜋^2)
	Present	Exact [8]	[6]	Present	Exact [8]	[6]
0.15	0.95816605		—
0.25	1.128906247	1.128906252	1.128906247
0.35	1.260007167
0.50	1.56250000	1.56250000	1.562500000	4.09131879		4.09131879
0.65	2.023506256			4.281435537
0.75	2.441406250	2.441406250	2.441406250	4.34021181	4.34027760	4.34021181
0.85	2.967006237			4.106579447
1.00	4.0000	4.00000000	3.999999990	4.00000006	4.00000000	4.00000006
1.15	5.394006247			4.078643686
1.25	6.566406250	6.566406250	6.566406250	4.20250002	4.20250000	4.20250002
1.35	7.966506249			4.371196821
1.50	10.56250000	10.56250000	10.56250000	4.69444443	4.69444442	4.69444443
1.65	13.85700619			5.089809442
1.75	16.50390623	16.50306239	16.50390623	5.38903626	5.38903061	5.38903626
1.85	19.55850615			5.714684090
2.00	25.00000000	25.00000000	24.99999999	6.25000001	6.25000000	6.25000001