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ME321 Kinematics and Dynamics of Machines

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... gear trains have two degrees of freedom. i.e., we must specify two inputs. In a planetary (or epicyclic) gear train, ... L - Last gear. F - First Gear. A - Arm ... – PowerPoint PPT presentation

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Title: ME321 Kinematics and Dynamics of Machines


1
ME321 Kinematics and Dynamics of Machines
  • Steve Lambert
  • Mechanical Engineering,
  • U of Waterloo

2
Gear Trains
There are three general classifications for gear
trains
Compound Gear Train
Simple Gear Train
Planetary Gear Train
3
Simple Gear Trains
Speed Ratios
V -?2r2 ?3r3
For internal gears
For external gears
4
Compound Gears
5
Planetary Gear Trains
Simple planetary gear trains have two degrees
of freedom i.e., we must specify two inputs
In a planetary (or epicyclic) gear train, one of
the axes rotates around another axis
6
Planetary Gear Trains
7
Formula Method
Start with relative velocity analysis with
respect to the arm for two gears
Divide these two equations to get the final
formula
8
Formula Method
Subscripts L - Last gear F - First Gear A -
Arm
The term on the left-hand-side of the equation is
the velocity with respect to the arm, and can
always be calculated
The terms of the right hand side of the equation
represent three absolute velocities Given 2, the
third can always be calculated
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