Vibration Analysis of a Rotating Disk with a Crack

<table>Variations in the four lower dimensionless natural frequencies versus the angular speed <svg height="7.1875" id="M360" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 10.7625 7.1875" width="10.7625" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝜔</tspan>
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</svg> for a disk with a circumferential crack of angle <svg height="10.9875" id="M361" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 47.787498 10.9875" width="47.787498" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝜃</tspan>
<tspan style="font-size: 12.50px; " x="10.014903" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.055292" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="28.306791" y="0">4</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">∘</tspan>
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</svg> at a distance <svg height="14.7125" id="M362" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 72.162498 14.7125" width="72.162498" 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">𝑅</tspan>
<tspan style="font-size: 12.50px; " x="9.2522202" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="12.728054" y="0">𝑅</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑜</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">0</tspan>
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<tspan style="font-size: 12.50px; " x="21.405136" y="0">4</tspan>
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</svg>.</table>

International Scholarly Research Notices

Vibration Analysis of a Rotating Disk with a Crack

Figure 14