Nonlinear Regression Based Health Monitoring of Hysteretic Structures under Seismic Excitation

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left"> </td><td align="center">Mean</td><td align="center">Mean error</td><td align="center">St. d.</td><td align="center">95% confidence interval</td><td align="center">True value</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left">Preyielding stiffness</td><td align="center">27335</td><td align="center">0.1%</td><td align="center">271</td><td align="center"><svg height="11.439pt" id="M151" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z" id="g113-92"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="345" vert-adv-y="345"></glyph.data></g></svg>27263, 27407<svg height="11.439pt" id="M152" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="345" vert-adv-y="345"></glyph.data></g></svg></td><td align="center">27300</td></tr><tr><td align="left">Viscous damping coefficient</td><td align="center">482</td><td align="center">7.5%</td><td align="center">108</td><td align="center"><svg height="11.439pt" id="M153" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z" id="g113-92"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="345" vert-adv-y="345"></glyph.data></g></svg>453, 510<svg height="11.439pt" id="M154" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="345" vert-adv-y="345"></glyph.data></g></svg></td><td align="center">521</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Estimations of preyielding stiffness [KN/m] and viscous damping coefficient [KN<svg height="4.18388pt" id="M150" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -4.13406 3.07474 4.18388" width="3.07474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z" id="g113-46"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="228" vert-adv-y="228"></glyph.data></g></svg>s/m].

Shock and Vibration

tab2

Table 2

Table 2: Nonlinear Regression Based Health Monitoring of Hysteretic Structures under Seismic Excitation 