Application of BP Neural Network Improved by Fireworks Algorithm on Suspender Damage Prediction of Long-Span Half-Through Arch Bridge

Table 5

Comparison between the calculated and measured cable forces of the suspender (unit: kN).

Hanger no.	Calculation I	Calculation II	Calculation II mean value	Measured value	Measured mean value	Difference value ①	Difference ① percentage (%)	Difference value ②	Difference ② percentage (%)
U1	390.4	355.8	393.5	369.4	396	3.1	0.8	−2.5	−0.6
U2		431.3		422.6
U3	381.1	380.2	378.9	391.3	380.9	−2.2	−0.6	−2	−0.5
U4		377.7		370.5
U5	379.7	383.8	384.4	403.9	385.7	4.7	1.2	−1.3	−0.3
U6		384.7		367.4
U7	391.2	389.7	390.1	492.3	392	−1.1	−0.3	−1.9	−0.5
U8		390.4		291.6
U9	375.3	387.5	388.4	416.1	393.7	13.1	3.5	−5.3	−1.3
U10		389.3		371.3
U11	389.1	385.4	386.1	388.5	409.1	−3	−0.8	−23	−5.6
U12		386.7		429.7
U13	381.9	387.6	387.9	390.4	400.5	6	1.6	−12.6	−3.1
U14		388.1		410.5
U15	376.8	386.5	386.9	362.5	392.1	10.1	2.7	−5.2	−1.3
U16		387.3		421.7
U17	383.6	389.7	389.2	397.6	385.9	5.6	1.5	3.3	0.9
U18		388.6		374.1
U19	380.9	387.5	387.7	470.3	392.1	6.8	1.8	−4.4	−1.1
U20		387.8		313.8
U21	380.6	387.8	387.6	401.3	409.8	7	1.8	−22.2	−5.4
U22		387.3		418.2
U23	382.5	388.6	388.4	378.3	384.9	5.9	1.5	3.5	0.9
U24		388.1		391.5
U25	384.7	388.6	388.8	413.5	398.4	4.1	1.1	−9.6	−2.4
U26		388.9		383.2
U27	381.9	388.5	388.6	461.6	395.5	6.7	1.8	−6.9	−1.7
U28		388.7		329.3
U29	386.5	389.9	390.2	382.3	410.4	3.7	1.0	−20.2	−4.9
U30		390.4		438.5
U31	379.9	386.6	387	447.5	406.8	7.1	1.9	−19.8	−4.9
U32		387.4		366.1
U33	378.3	388.7	388.8	385.3	368.8	10.5	2.8	20	5.4
U34		388.9		352.3
U35	385.6	388.4	388.7	391.4	388.3	3.1	0.8	0.4	0.1
U36		388.9		385.2
U37	379.4	388.3	388.5	371.9	369.7	9.1	2.4	18.8	5.1
U38		388.6		367.5
U39	377.1	386.3	386.6	378.3	367.1	9.5	2.5	19.5	5.3
U40		386.8		355.9
U41	371.6	379.1	380.3	378.7	368	8.7	2.3	12.3	3.3
U42		381.4		357.3
U43	376.4	385.5	386.4	402.5	367	10	2.7	19.4	5.3
U44		387.2		331.4
U45	388.7	389.1	389	427.3	401.3	0.7	0.2	−12.3	−3.1
U46		388.9		375.3
U47	383.3	386.9	386.8	398.5	367.6	3.5	0.9	19.2	5.2
U48		386.7		336.7
U49	372.4	387.4	387.5	402.8	383	15.1	4.1	4.5	1.2
U50		387.6		363.2
U51	392.1	387.6	387.5	411.5	385.9	−4.6	−1.2	1.6	0.4
U52		387.2		360.3
U53	367.9	387.7	388.1	382.3	390.2	20.2	5.5	−2.1	−0.5
U54		388.5		398.1
U55	378.6	384.6	384.2	365.8	389.7	5.6	1.5	−5.5	−1.4
U56		383.8		413.6
U57	383.3	378.1	379.2	356.7	377.6	−4.1	−1.1	1.6	0.4
U58		380.4		398.5
U59	391.5	431.7	393.8	407.2	387.8	2.3	0.6	6.0	1.5
U60		356		368.4