A Wiener-Laguerre Model of VIV Forces Given Recent Cylinder Velocities

<table>Laguerre analysis and rotatron transform velocity histories into a hydrodynamic force. The matrix <svg height="10.325" id="M192" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.7 10.325" width="12.7" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐷</tspan>
</text>
</g>
</g>
</svg> is the discrete form of the Laguerre analysis functions, which appear in (<a href="https://static.hindawi.com/articles/mpe/volume-2011/414702/figures/#EEq21">4.14</a>). The dots symbolize a matrix-matrix product.</table>

Mathematical Problems in Engineering

fig4

Figure 4

Figure 4: A Wiener-Laguerre Model of VIV Forces Given Recent Cylinder Velocities 