Finite Element Model Updating of Steel Arch Bridge Based on First-Order Mode Test Data

Table 2

Comparison of first-order mode shapes of before and after updating with the measuring value.

Measuring points	Measuring value	Before updating		After updating
	Vibration mode	Vibration mode	Difference	Vibration mode	Difference
3	−0.243	−0.421	0.178	−0.340	0.097
4	−0.654	−0.877	0.223	−0.766	0.112
5	−1.000	−1.000	0.000	−1.000	0.000
6	−0.608	−0.660	0.052	−0.696	0.088
7	−0.065	0.000	0.065	0.016	0.081
8	0.553	0.660	0.107	0.650	0.097
9	0.917	1.000	0.083	0.918	0.001
10	0.571	0.877	0.306	0.768	0.197
11	0.247	0.421	0.174	0.357	0.110

Note. The vibration mode has been normalized. Nodes 1 and 13 are fixed ends, and their vibration mode value is 0, which is not listed in Table 2.