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

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Vibration mode</td><td class="align_center">Natural frequencies (Hz)</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">Rigid mode</td><td class="align_center">f1 = 0</td></tr><tr><td class="align_left">Rotational modes</td><td class="align_center">f2 = f3 = 1104, f5 = f6 = 4595, f10 = f11 = 9286, f13 = f14 = 15111, f16 = f17 = 21544</td></tr><tr><td class="align_left">Translational modes</td><td class="align_center">f4 = 1207, f7 = 4930, f8 = 5967, f9 = 6467 f12 = 10421, f15 = 17898, f18 = 23060</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Natural frequencies of the system.</div>

Mathematical Problems in Engineering

tab3

Table 3

Table 3: Mathematical Modeling and Dynamic Analysis of Planetary Gears System with Time-Varying Parameters 