Lyapunov-Based Control for Suppression of Wind-Induced Galloping in Suspension Bridges

<table>Vertical displacement of the bridge deck with <svg height="14.7125" id="M219" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 51.787498 14.7125" width="51.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑈</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.14,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑜</tspan>
</text>
<text transform="matrix(1,0,0,-1,-55.16,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">2</tspan>
</text>
</g>
</g>
</svg> (m/sec) when using first controller, second controller, and TMD controller.</table>

Mathematical Problems in Engineering

fig13

Figure 13

Figure 13: Lyapunov-Based Control for Suppression of Wind-Induced Galloping in Suspension Bridges 