There is a huge data set of a girder mast (accelerations, strains), containing structural and meteorological data. It is accessible via: https://doi.org/10.25835/0027803. Several damage cases are available.
We submitted an article to SCHM, wich is currently under review. Feel free to contact me for the authors version.
Hi Yuejian, I'd recommend the Z24 Bridge data set (https://bwk.kuleuven.be/bwm/z24). It is one year of accelerometer monitoring data including known controlled damage scenarios .