Mathematical Modeling and Dynamic Analysis of Planetary Gears System with Time-Varying Parameters

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left">Outer diameter <i>D</i> (mm)</td><td class="align_center">Inner diameter <i>d</i> (mm)</td><td class="align_center">Bearing width <i>B</i> (mm)</td><td class="align_center">Ball diameter <i>D</i><sub><i>b</i></sub> (mm)</td><td class="align_center">Number of rolling elements <i>n</i><sub><i>b</i></sub></td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">80</td><td class="align_center">40</td><td class="align_center">18</td><td class="align_center">12</td><td class="align_center">9</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Geometric parameters of the bearing.</div>

Mathematical Problems in Engineering

tab1

Table 1

Table 1: Mathematical Modeling and Dynamic Analysis of Planetary Gears System with Time-Varying Parameters 