How Does Gear Count Affect the Efficiency and Size of Gearboxes?

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Discussion Overview

The discussion centers on the impact of gear count on the efficiency and size of gearboxes, exploring the advantages and disadvantages of using two gears with high gear ratios versus three gears with lower gear ratios. Participants consider various factors including design constraints, weight, cost, and efficiency.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants suggest that the overall gear ratio required influences the choice between two high-ratio gears and three lower-ratio gears.
  • It is proposed that the lightest and most economical gearbox typically consists of pairs of gears providing a reduction ratio of about three, with a recommendation to use more than one pair if the ratio exceeds 5.2.
  • One participant notes that adding an extra gear does not change the gear ratio but alters the direction of rotation, introducing additional friction losses and inertia.
  • Another viewpoint emphasizes that for very high reduction ratios, planetary gearboxes can achieve larger reductions in a single stage, potentially resulting in a more compact and lighter design compared to multistage conventional gearboxes.
  • A participant highlights that the answer to the original question is complex and depends on multiple factors such as power, speed, size constraints, and efficiency, recommending a comprehensive resource for further understanding.
  • It is mentioned that planetary gears are advantageous for minimizing side forces on coaxial shafts and can be further optimized by using an axial stack of planetary gears.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the advantages of different gear configurations, and the discussion remains unresolved with no clear consensus on the best approach.

Contextual Notes

Participants acknowledge that the effectiveness of gear configurations is highly dependent on specific design constraints and requirements, which are not fully detailed in the discussion.

Datt
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I have a question what is a difference or advantage for using two gears with high gear ratio or using three gears with lower gear ratio.Is there any advantage.
 
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Welcome to PF.

Datt said:
Is there any advantage.
It depends on the overall ratio required. What ratio do you need?

The lightest weight and most economic gearbox will have pairs of gears, that each give a reduction ratio of about three. That comes about by considering the size and strength of the teeth.

If the ratio is greater than about 5.2 use more than one pair.
 
For one, adding an extra gear between two gears does not alter the gear ratio; It only changes the direction of rotation of the final gear.

To alter the final gear ratio, you need four gears, the middle two being on the same shaft. This adds extra friction losses and also extra inertia. Compared to a two-gear gear set, the final rotation is still reversed.

But the larger the gear ratio is, the more difficult it becomes to respect the combined design constraints like pressure angle, contact ratio, or undercut.
 
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Baluncore said:
Welcome to PF.It depends on the overall ratio required. What ratio do you need?

The lightest weight and most economic gearbox will have pairs of gears, that each give a reduction ratio of about three. That comes about by considering the size and strength of the teeth.

If the ratio is greater than about 5.2 use more than one pair.
That heavily depends on the gearbox.

For very high reduction ratios, planetary gearboxes can achieve much larger reductions than that in a single stage, which can end up more compact and lighter than a multistage conventional gearbox with a similar reduction ratio. Size and weight also depends very heavily on torque handling capacity, though of course that'll scale at least fairly similarly regardless of which gearbox design you chose.
 
Datt said:
I have a question what is a difference or advantage for using two gears with high gear ratio or using three gears with lower gear ratio.Is there any advantage.
There is no simple answer to your question. A complete answer depends on the ratio, power, speed, size constraints, efficiency constraints, cost constraints, and more. If you get a copy of Dudley's Handbook of Practical Gear Design, and read the entire book, you will be able to understand just how difficult it is to answer your question. The book is available from Amazon: https://www.amazon.com/dp/0367649020/?tag=pfamazon01-20. I read an earlier edition, and highly recommend it for completeness and readability.
 
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cjl said:
For very high reduction ratios, planetary gearboxes can achieve much larger reductions than that in a single stage, which can end up more compact and lighter than a multistage conventional gearbox with a similar reduction ratio.
Planetary gears are used on coaxial shafts where side forces need to be minimised. The planetary reduction unit can still be smaller and lighter again when an axial stack of planetary gears is used, rather than only one high-ratio planetary stage.
 

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