Seismic Vibration Mitigation of a Cable-Stayed Bridge with Asymmetric Pounding Tuned Mass Damper

Table 3

The first 10 vibration modes of the bridge.

Number of the mode	Frequency (Hz)	Description of modal shape
1^st	0.239	Floating of the girder in the longitudinal direction
2^nd	0.448	Symmetric bending of the girder in the vertical direction
3^rd	0.566	Symmetric bending of the girder in the lateral direction
4^th	0.608	Floating of the side piers in the longitudinal direction
5^th	0.608	Floating of the side piers in the longitudinal direction
6^th	0.654	The tower bends asymmetrically in the lateral direction
7^th	0.666	Bending of the girder in the vertical direction (second order)
8^th	0.680	Symmetric bending of the girder in the lateral direction (second order)
9^th	0.815	Bending of the pylon toward the inside direction
10^th	0.815	Bending of the pylon toward the outside direction