A Cyclosymmetric Beam Model and a Spring-Supported Annular Plate Model for Automotive Disc Brake Vibration

<table>A cyclosymmetric beam of length <svg height="10.6875" id="M31" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 19 10.6875" width="19" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">𝐿</tspan>
</text>
</g>
</g>
</svg> excited by a point force, <svg height="13.6125" id="M32" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 24.1 13.6125" width="24.1" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.6125)">
<g transform="translate(72,-61.11)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑓</tspan>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="15.016103" y="0">)</tspan>
</text>
</g>
</g>
</svg>, at the origin, <svg height="10.9125" id="M33" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 35.924999 10.9125" width="35.924999" 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">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">0</tspan>
</text>
</g>
</g>
</svg>.</table>

International Scholarly Research Notices

fig1

Figure 1

Figure 1: A Cyclosymmetric Beam Model and a Spring-Supported Annular Plate Model for Automotive Disc Brake Vibration 