Dynamic Analysis of a Hybrid Squeeze Film Damper Mounted Rub-Impact Rotor-Stator System

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="279827.fig.007a" src="https://static.hindawi.com/articles/jam/volume-2012/279827/figures/279827.fig.007a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Phase diagram </td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="279827.fig.007b" src="https://static.hindawi.com/articles/jam/volume-2012/279827/figures/279827.fig.007b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Power spectrum </td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="279827.fig.007c" src="https://static.hindawi.com/articles/jam/volume-2012/279827/figures/279827.fig.007c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b> Lyapunov exponent</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="279827.fig.007d" src="https://static.hindawi.com/articles/jam/volume-2012/279827/figures/279827.fig.007d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>Poincaré map</td></tr></table></td></tr><tr class="fig-image" id="e"><td><img alt="279827.fig.007e" src="https://static.hindawi.com/articles/jam/volume-2012/279827/figures/279827.fig.007e.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(e) </b>Fractal dimension</td></tr></table></td></tr></table>

<table>Simulation results obtained for rotor-bearing system with <svg height="11.125" id="M118" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 54.275002 11.125" width="54.275002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.862)"><use xlink:href="#x1D460"></use></g><g transform="matrix(.017,-0,0,-.017,11.146,10.862)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,25.85,10.862)"><path d="M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105
q0 -76 10 -138.5t37 -107.5t69 -45q32 0 55.5 25t35.5 68.5t17.5 91.5t5.5 105t-5.5 105.5t-18 92t-36 68t-56.5 24.5z" id="x30"></path></g><g transform="matrix(.017,-0,0,-.017,34.009,10.862)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,37.885,10.862)"><path d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
q0 45 -26.5 69.5t-68.5 24.5q-67 0 -120 -79l-20 20l43 63q51 56 127 56h1q66 0 107 -37t41 -95q0 -42 -31 -71q-22 -23 -68 -54z" id="x33"></path></g><g transform="matrix(.017,-0,0,-.017,46.044,10.862)"><use xlink:href="#x32"></use></g>
</svg> (with rub-impact effect).</table>

Journal of Applied Mathematics

fig7

Figure 7

Figure 7: Dynamic Analysis of a Hybrid Squeeze Film Damper Mounted Rub-Impact Rotor-Stator System 