Reduction of Vibrations in Long-Span Continuous Girder Bridges with Pounding Tuned Mass Dampers

Table 1

The first two modal analysis results of the bridge.

Mode shape	Frequency, ƒ (Hz)		Angular frequency, ω (rad/s)		Period (s)
	Uncontrolled	With PTMD	Uncontrolled	With PTMD	Uncontrolled	With PTMD
First-order cross bend	1.96	1.65	12.3	10.4	0.5	0.6
Second-order cross bend	3.55	2.69	22.3	16.9	0.3	0.4
First-order vertical bend	1.69	1.35	10.6	8.5	0.6	0.7
Second-order vertical bend	1.93	1.75	12.1	11.0	0.5	0.6