Analysis of Stiffened Penstock External Pressure Stability Based on Immune Algorithm and Neural Network

Table 5

Part of computing results of 𝑃_cr in the case of the different parameters 𝑎.

𝑃cr (MPa)		𝑏/𝑎
𝐿/𝑟	𝑎 (mm)	0.5	1.5	1.9	2.1	2.3	2.9	3.1	5.5
0.1	20	543.01	579.15	608.17	626.09	646.29	720.15	748.92	1195.9
	30	558.04	682.73	772.08	823.19	877.52	1051.2	1109.9	1619.6
	40	581.2	843.5	994.4	1069.9	1142.7	1329.6	1378.6	1480.9
	60	657.5	1152.9	1280.3	1316.6	1336.4	1320.6	1297.9	886.4
	80	766.1	1234.5	1223.0	1192.7	1153.4	1013.5	966.3	562.9
	100	881.6	1139.7	1036.4	978.14	920.6	766.4	722.5	412.6
0.5	20	108.60	115.83	121.63	125.21	129.26	144.03	149.78	239.19
	30	111.60	136.64	54.41	164.64	175.50	210.25	221.98	323.92
	40	116.2	168.71	198.9	213.9	228.5	265.9	275.7	296.2
	60	131.5	230.6	256.0	263.3	267.3	264.1	259.6	177.28
	80	153.2	246.9	244.6	238.5	230.7	202.7	193.26	112.6
	100	176.3	227.9	207.3	195.6	184.1	153.3	144.5	82.5
0.9	20	60.33	64.35	67.57	67.56	71.81	80.02	83.21	132.88
	30	62.00	75.86	85.79	9.46	97.50	16.80	123.32	179.95
	40	64.6	93.7	110.5	118.9	126.9	147.7	153.2	164.5
	60	73.1	128.1	142.3	146.3	148.5	146.7	144.2	98.5
	80	85.1	137.2	135.9	132.5	128.2	112.6	107.4	62.5
	100	97.9	126.6	115.2	108.7	102.3	85.2	80.3	45.8
3.0	20	18.01	19.31	20.27	20.87	21.54	24.00	24.96	39.86
	30	18.60	22.76	25.74	27.44	29.25	35.04	36.99	53.99
	40	19.4	28.1	33.1	35.7	38.1	44.3	45.9	49.4
	60	21.9	38.4	42.7	43.9	44.5	44.0	43.3	29.5
	80	25.5	41.2	40.8	39.8	38.4	33.8	32.2	18.8
	100	29.4	37.9	34.5	32.6	30.6	25.5	24.1	13.8