Higher Period Stochastic Bifurcation of Nonlinear Airfoil Fluid-Structure Interaction

<table>Response surface of the pitch angle <svg height="7.1750002" id="M464" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.175)">
<g transform="translate(72,-66.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛼</tspan>
</text>
</g>
</g>
</svg> at <svg height="10.9125" id="M465" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 58.775002 10.9125" width="58.775002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜏</tspan>
<tspan style="font-size: 12.50px; " x="9.8648672" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.905256" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="28.156755" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="34.408257" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="40.659756" y="0">0</tspan>
</text>
</g>
</g>
</svg> as function of the random nonlinearity parameter <svg height="14.5875" id="M466" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 15.6375 14.5875" width="15.6375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.5875)">
<g transform="translate(72,-60.33)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛽</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.97,60.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝛼</tspan>
</text>
</g>
</g>
</svg>.</table>

Mathematical Problems in Engineering

fig12

Figure 12

Figure 12: Higher Period Stochastic Bifurcation of Nonlinear Airfoil Fluid-Structure Interaction 