A Modified Transfer Matrix Method for Modal Analysis of Stepped Rotor Assembly Applied in the Turbomolecular Pump

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left"></td><td class="align_center">Traditional TMM (Hz)</td><td class="align_center">FEM (Hz)</td><td class="align_center">Error (%)</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">1st order bending frequency</td><td class="align_center">179.21</td><td class="align_center">179.89</td><td class="align_center">−0.37</td></tr><tr><td class="align_left">2nd order bending frequency</td><td class="align_center">481.60</td><td class="align_center">481.77</td><td class="align_center">−0.04</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The natural frequencies of the equidiameter shaft.</div>

Shock and Vibration

tab1

Table 1

Table 1: A Modified Transfer Matrix Method for Modal Analysis of Stepped Rotor Assembly Applied in the Turbomolecular Pump 