AdvancedTopic 87 of 106Engineering Mechanics
Gear trains
Combinations of gears give large ratios; planetary trains offer compact high reduction.
In depth
Simple train ratio = product of driven teeth / product of driving teeth. Compound trains use shafts with two gears. Planetary trains with sun, planets, ring and carrier give high ratios compactly using the tabular method.
Key points
- Idlers reverse direction only
- Ratio multiplies per stage
- Used in transmissions
ExampleA 3:1 and a 4:1 stage give 12:1 overall.
What is Gear trains?
Combinations of gears give large ratios; planetary trains offer compact high reduction.
Why is it important to understand gear trains?
Gear trains reach large ratios and compact layouts that a single pair cannot achieve, so they are used in gearboxes and vehicles.
How do I find the ratio of a compound gear train?
Multiply the ratios of each stage, taking into account the direction of rotation at each mesh.
Why are planetary gear sets popular?
They provide high ratios in a compact coaxial layout and distribute load across several planet gears.
How is Gear trains used in practice?
Typical applications include designing a reduction gearbox for a robot joint, choosing a planetary gearbox for a compact drill drive and calculating the ratio of a bicycle drivetrain with several sprockets.
What should I learn before Gear trains?
Study "Gears" first (topic 86 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.
What are the key points of Gear trains?
Idlers reverse direction only. Ratio multiplies per stage. Used in transmissions.
Can you give an example of Gear trains?
A 3:1 and a 4:1 stage give 12:1 overall.
What comes after Gear trains?
The next topic is "Belt and chain drives", which builds directly on this one.
How difficult is Gear trains?
It is classed as Advanced in Engineering Mechanics (topic 87 of 106). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Engineering Mechanics.