Structural Damage Identification Method of Girder Bridges Based on Multilevel Data Fusion Theory

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2">Case</td><td class="align_center" colspan="3">Frequency</td></tr><tr class="thead"><td class="align_center">1<sup>st</sup> order mode</td><td class="align_center">2<sup>nd</sup> order mode</td><td class="align_center">3<sup>rd</sup> order mode</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">Undamaged case</td><td class="align_center">5.2425</td><td class="align_center">21.048</td><td class="align_center">47.652</td></tr><tr><td class="align_left">Case 1</td><td class="align_center">5.2414</td><td class="align_center">21.033</td><td class="align_center">47.586</td></tr><tr><td class="align_left">Case 2</td><td class="align_center">5.2402</td><td class="align_center">21.015</td><td class="align_center">47.514</td></tr><tr><td class="align_left">Case 3</td><td class="align_center">5.2330</td><td class="align_center">20.959</td><td class="align_center">47.493</td></tr><tr><td class="align_left"><span style="width: 3.07474ptpx;"><svg height="19.9059pt" id="M44" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -19.6995 3.07474 19.9059" width="3.07474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,-10.46)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,-5.23)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g></svg></span></td><td class="align_center"><span style="width: 3.07474ptpx;"><svg height="19.9059pt" id="M45" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -19.6995 3.07474 19.9059" width="3.07474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,-10.46)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,-5.23)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g></svg></span></td><td class="align_center"><span style="width: 3.07474ptpx;"><svg height="19.9059pt" id="M46" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -19.6995 3.07474 19.9059" width="3.07474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,-10.46)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,-5.23)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g></svg></span></td><td class="align_center"><span style="width: 3.07474ptpx;"><svg height="19.9059pt" id="M47" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -19.6995 3.07474 19.9059" width="3.07474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,-10.46)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,-5.23)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g></svg></span></td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Modal frequencies of damage cases.</div>

Advances in Materials Science and Engineering

tab2

Table 2

Table 2: Structural Damage Identification Method of Girder Bridges Based on Multilevel Data Fusion Theory 