Elastic Buckling Behaviour of a Four-Lobed Cross Section Cylindrical Shell with Variable Thickness under Non-Uniform Axial Loads

Table 1

The fundamental buckling loads factor 𝑝for symmetric and antisymmetric modes of a loaded cylindrical shell of a four-lobed cross section with variable thickness, (𝜁=0.5,𝑙=4,ℎ=0.02).

	Symmetric Modes									Antisymmetric Modes
	𝜂									𝜂
	1			2			5			1			2			5
m	A	B	𝜇	A	B	𝜇	A	B	𝜇	A	B	𝜇	A	B	𝜇	A	B	𝜇
1	40.302	94.051	2.3	50.989	136.74	2.6	88.279	250.30	2.8	94.246	112.68	1.2	168.57	284.263	1.6	388.71	953.791	2.4
2	25.574	69.646	2.7	29.288	86.071	2.9	41.987	123.78	2.9	68.699	73.642	1.1	122.94	189.365	1.5	187.28	505.348	2.7
3	17.866	46.885	2.6	20.130	59.302	2.9	27.534	81.447	2.9	50.583	53.087	1.1	99.788	151.587	1.5	133.15	382.095	2.8
4	15.577	42.455	2.7	17.147	50.619	2.9	22.342	66.150	2.9	43.672	46.177	1.1	76.928	136.385	1.7	101.56	294.163	2.8
5	15.542	43.810	2.8	16.812	49.664	2.9	20.978	62.135	2.9	43.135	45.996	1.1	65.259	138.198	2.1	84.270	244.699	2.9
6	16.712	48.118	2.9	17.841	52.776	2.9	21.554	63.860	2.9	45.836	49.448	1.1	59.274	149.957	2.5	75.065	218.302	2.9
7	18.697	54.486	2.9	19.790	58.563	2.9	23.284	69.133	2.9	50.163	55.326	1.1	56.544	162.277	2.8	70.566	205.435	2.9
8	21.323	62.578	2.9	22.434	66.401	2.9	25.967	76.972	2.9	51.791	63.102	1.2	55.934	162.293	2.9	69.048	201.169	2.9
9	24.502	71.840	2.9	25.667	75.978	2.9	29.305	86.887	2.9	52.878	72.511	1.3	56.837	165.161	2.9	69.586	202.863	2.9
10	28.184	82.184	2.9	29.431	87.127	2.9	33.251	98.609	2.9	54.918	83.406	1.5	58.897	171.260	2.9	71.655	208.993	2.9