Application of Soft Computing Paradigm to Large Deformation Analysis of Cantilever Beam under Point Load

Table 2

Comparison of the approximate solution obtained by ANN-GNDO-SQP algorithm with analytical solution for different variations is dimensionless end point load of large deflected cantilever beam.

Exact	ANN-GNDO-SQP	Exact	ANN-GNDO-SQP	Exact	ANN-GNDO-SQP	Exact	ANN-GNDO-SQP
0.0	0	2.02E − 09	0	−5.11E − 08	0	−5.70E − 09	0	6.07E − 07
0.1	0.0475	0.04750000	0.0950	0.09500000	0.1425	0.14250000	0.1900	0.19000004
0.2	0.0900	0.09000000	0.1800	0.18000000	0.2700	0.27000000	0.3600	0.36000005
0.3	0.1275	0.12750000	0.2550	0.25500000	0.3825	0.38250000	0.5100	0.51000000
0.4	0.1600	0.16000000	0.3200	0.32000000	0.4800	0.48000000	0.6400	0.64000000
0.5	0.1875	0.18750000	0.3750	0.37500000	0.5625	0.56250000	0.7500	0.75000008
0.6	0.2100	0.21000000	0.4200	0.42000000	0.6300	0.63000364	0.8400	0.84000000
0.7	0.2275	0.22750000	0.4550	0.45500000	0.6825	0.68250000	0.9100	0.91000000
0.8	0.2400	0.24000188	0.4800	0.48000000	0.7200	0.72000000	0.9600	0.96000004
0.9	0.2475	0.24750207	0.4950	0.49500000	0.7425	0.74250001	0.9900	0.99000006
1.0	0.2500	0.25000192	0.5000	0.50000000	0.7500	0.75000000	1.0000	1.00000001