Calculating Internal Gear Forces: Tips and Equations

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SUMMARY

This discussion focuses on calculating the forces exerted by internal gears on pinions, emphasizing the importance of understanding torque relationships and contact ratios. The torque input from the gear equals the torque output on the pinion, allowing for the determination of tangential forces using gear radii. It is noted that internal gears typically exhibit single-point contacts unless the contact ratio exceeds 2, which is crucial for accurate force calculations.

PREREQUISITES
  • Understanding of torque relationships in gear systems
  • Familiarity with gear radii and their impact on force calculations
  • Knowledge of contact ratios in gear mechanics
  • Basic principles of angular velocity measurement
NEXT STEPS
  • Research the equations for calculating tangential forces in gear systems
  • Study the implications of contact ratios greater than 2 in internal gear applications
  • Explore methods for measuring angular velocity in gear systems
  • Learn about the effects of single-point contact on gear performance
USEFUL FOR

Mechanical engineers, gear design specialists, and anyone involved in the analysis and optimization of gear systems will benefit from this discussion.

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I'm trying to determine the forces that an internal gear applies on a pinion. I can measure the angular velocity of the gear and any relevant dimensions but can only find force equations for gears with a single point of contact. Any guidance is greatly appreciated.
 
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The torque in from the input gear equals the torque out on the output gear. Using gear radii, you should be able to easily find the tangential forces.

Also, gears typically have single point contacts. Unless you have a contact ratio greater than 2, there will be times when you have single-point contact.
 

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