Vibration Analysis of a Rotating Disk with a Crack

<table>Frequency response of a disk with a radial crack of dimensionless length (a) <svg height="14.7125" id="M358" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 68.4375 14.7125" width="68.4375" 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">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="9.7523403" y="0">𝑅</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.95,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑜</tspan>
</text>
<text transform="matrix(1,0,0,-1,-44.97,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">3</tspan>
</text>
</g>
</g>
</svg> or (b) <svg height="14.9" id="M359" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 76.25 14.9" width="76.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9)">
<g transform="translate(72,-60.08)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="6.2765059" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="9.7523403" y="0">𝑅</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.95,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑜</tspan>
</text>
<text transform="matrix(1,0,0,-1,-44.97,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="27.66914" y="0">5</tspan>
</text>
</g>
</g>
</svg> and two different angular speed values.</table>

International Scholarly Research Notices

Vibration Analysis of a Rotating Disk with a Crack

Figure 13