How to Calculate Forces on Sun Wheels in a Planetary Gear System?

  • Thread starter Thread starter Gunter1977
  • Start date Start date
  • Tags Tags
    Planetary Symmetry
Click For Summary
SUMMARY

This discussion focuses on calculating forces on sun wheels in a planetary gear system with 4 sun wheels and 1 planet wheel. The user initially faced a challenge with 3 equations and 4 unknowns but improved their model by assuming symmetry, resulting in 4 equations. Despite this adjustment, the user is still not achieving correct results and seeks further information and validation of their assumptions regarding average forces over the teeth. A reference to the Willis equation for planetary gears is provided for additional insights.

PREREQUISITES
  • Understanding of planetary gear systems
  • Familiarity with the Willis equation
  • Basic knowledge of mechanical engineering principles
  • Ability to solve systems of equations
NEXT STEPS
  • Research the Willis equation for planetary gear analysis
  • Explore methods for calculating forces in gear systems
  • Learn about symmetry assumptions in mechanical systems
  • Investigate alternative approaches to solving systems of equations
USEFUL FOR

Mechanical engineers, students studying gear systems, and professionals involved in the design and analysis of planetary gear mechanisms will benefit from this discussion.

Gunter1977
Messages
6
Reaction score
4
Hello everyone,

I hope somebody can assist me with this. I am working on a calculation for a planet gear with 4 sun wheels and 1 planet wheel. The aim is to determine the forces on the sun wheel. Initially, I have 3 equations and 4 unknowns. By making an assumption based on symmetry, I now have 4 equations. Unfortunately, I am not getting the correct results. Does anyone know where I can find more information on this or perhaps have a tip? Is my assumption correct regarding the average forces over the teeth? For more information see the attachement .

Thank you in advance.
 

Attachments

Engineering news on Phys.org
Hi

I'm thinking based on the assumption that the arms are symmetrical and the forces are equal on these arms, then I believe this could be the solution. There are probably more methods available, and I'd be glad to hear about them or any points for improvement, or if I'm entirely mistaken.

Thank you in advance
 

Attachments

Similar threads

A novel compound epicyclic gear system I can't seem to understand
  • · Replies 1 ·
Replies
1
Views
2K
How to calculate the gear ratio of this compound planetary gearset?
  • · Replies 15 ·
Replies
15
Views
3K
Compound planetary gear problem
  • · Replies 1 ·
Replies
1
Views
2K
Planet Gear System: Sun Gear Input, Same Torque in Ring & Carrier?
  • · Replies 2 ·
Replies
2
Views
2K
Planetary gearbox speed calculation - Simultaneous equations
  • · Replies 1 ·
Replies
1
Views
6K
Question about calculation of planetary gear ratios
  • · Replies 2 ·
Replies
2
Views
4K
Calculating the load on planetary gear from driving torque
  • · Replies 2 ·
Replies
2
Views
4K
Why is the gear ratio reversed in a planetary gear system?
  • · Replies 9 ·
Replies
9
Views
3K
Open differential:Force at the planetary wheel
  • · Replies 1 ·
Replies
1
Views
3K
Bicycle gear system's Input-Output ratio?
  • · Replies 3 ·
Replies
3
Views
2K