Unified Mathematical Model of Gear Train Analysis Based on State Space Method

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Adjacency relation of gear train units</td><td class="align_center">Adjacency connection characteristic</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"><object data="https://static.hindawi.com/articles/mpe/volume-2022/6136899/figures/6136899.tab-inline.001.svgz" name="6136899.tab-inline.001" type="image/svg+xml"></object></td><td class="align_center">Two single DOF gear train units are connected in series to form a single DOF gear train</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left"><object data="https://static.hindawi.com/articles/mpe/volume-2022/6136899/figures/6136899.tab-inline.002.svgz" name="6136899.tab-inline.002" type="image/svg+xml"></object></td><td class="align_center">A single DOF gear train unit and a two-DOF gear train unit are connected in series to form a two-DOF gear train</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left"><object data="https://static.hindawi.com/articles/mpe/volume-2022/6136899/figures/6136899.tab-inline.003.svgz" name="6136899.tab-inline.003" type="image/svg+xml"></object></td><td class="align_center">Two single DOF gear train units are connected in parallel to form a multioutput single DOF gear train</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left"><object data="https://static.hindawi.com/articles/mpe/volume-2022/6136899/figures/6136899.tab-inline.004.svgz" name="6136899.tab-inline.004" type="image/svg+xml"></object></td><td class="align_center">A single DOF gear train unit and a two-DOF gear train unit are connected in parallel to form a single DOF gear train</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left"><object data="https://static.hindawi.com/articles/mpe/volume-2022/6136899/figures/6136899.tab-inline.005.svgz" name="6136899.tab-inline.005" type="image/svg+xml"></object></td><td class="align_center">Two two-DOF gear train units are connected in parallel to form a two-DOF gear train</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Adjacency connection of two gear train units.</div>

Mathematical Problems in Engineering

tab1

Table 1

Table 1: Unified Mathematical Model of Gear Train Analysis Based on State Space Method 