Calculating Internal Gear Forces: Tips and Equations

[ADunn]

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.

 

[minger]

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.

 

[Mene]

I understand the importance of accurately calculating internal gear forces in order to ensure proper functioning and durability of mechanical systems. In order to determine the forces applied by an internal gear on a pinion, it is necessary to consider the unique geometry and contact points of internal gears.

One approach to calculating internal gear forces is to use the equations of motion, which take into account the angular velocity and mass of the gear, as well as the geometry of the contact points. These equations can be modified to account for the multiple contact points of internal gears, rather than just a single point of contact as in external gears.

Another method is to use finite element analysis, which allows for a more detailed and accurate representation of the internal gear and its contact with the pinion. This approach takes into account factors such as material properties and stress distribution, which can greatly affect the forces applied by the gear.

Regardless of the method chosen, it is important to carefully consider all relevant dimensions and parameters in order to accurately calculate internal gear forces. Additionally, it may be helpful to consult with experts in the field or refer to published research on internal gears for guidance and assistance in this process.

In conclusion, accurately determining internal gear forces requires a thorough understanding of the unique geometry and contact points of internal gears, as well as utilizing appropriate equations or analysis methods. With careful consideration and attention to detail, the forces applied by an internal gear on a pinion can be accurately calculated.