Calculating Internal Gear Forces: Tips and Equations

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To calculate the forces an internal gear applies on a pinion, it's essential to consider the angular velocity and relevant dimensions. The torque input from the gear equals the torque output on the pinion, allowing for the determination of tangential forces using gear radii. Internal gears generally exhibit single-point contacts unless the contact ratio exceeds 2, which can complicate force calculations. This means that for most scenarios, the existing equations for single-point contact can still be applicable. Accurate calculations depend on understanding these dynamics and using the right equations.
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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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