Analytical and Finite Element Modeling of the Dynamic Characteristics of a Linear Feeding Stage with Different Arrangements of Rolling Guides

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left" rowspan="2">Stage model</td><td align="center" colspan="5">Vibration mode</td></tr><tr class="thead"><td align="center">Yawing mode</td><td align="center">Pitching mode</td><td align="center">Lower rolling mode</td><td align="center">Vertical mode</td><td align="center">Higher rolling mode</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left">Guide span (200 mm)</td><td align="center">343</td><td align="center">468</td><td align="center">517</td><td align="center">657</td><td align="center">754</td></tr><tr><td align="left">Guide span (280 mm)</td><td align="center">341</td><td align="center">468</td><td align="center">608</td><td align="center">657</td><td align="center">885</td></tr><tr><td align="center" colspan="6"><hr/></td></tr><tr><td align="left">Difference (%)</td><td align="center">0.7</td><td align="center">0.0</td><td align="center">17.5</td><td align="center">0.0</td><td align="center">17.3</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Modal frequencies of the feeding stage predicted by analytical approach.

Mathematical Problems in Engineering

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Table 3

Table 3: Analytical and Finite Element Modeling of the Dynamic Characteristics of a Linear Feeding Stage with Different Arrangements of Rolling Guides 

Table 3 | Analytical and Finite Element Modeling of the Dynamic Characteristics of a Linear Feeding Stage with Different Arrangements of Rolling Guides 