Spur Gear, Friction and Energy Loss

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SUMMARY

The discussion focuses on calculating friction losses in a spur gear drive/train for robotics applications. Key formulas include the relationship between power, torque, and angular velocity, specifically Power = Torque * Angular Velocity. To account for friction, the frictional force (F) is multiplied by the radius (R) to determine the torque exerted by friction. The energy lost due to friction can be calculated using the formula Energy Lost = (F x R) * Angular Velocity * t, where t is the time the motor runs.

PREREQUISITES
  • Understanding of torque and angular velocity in mechanical systems
  • Knowledge of frictional forces and their impact on mechanical components
  • Familiarity with power calculations in robotics
  • Basic integration techniques for calculating energy loss over time
NEXT STEPS
  • Research methods for estimating frictional forces in mechanical systems
  • Learn about integrating functions to calculate energy loss over time
  • Explore torque compensation techniques in robotic drive systems
  • Study the impact of gear design on friction and energy efficiency
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Robotics engineers, mechanical designers, and anyone involved in optimizing gear systems for energy efficiency and performance.

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For an analysis of a robot component: a Spur gear drive/train.

How can I account for friction losses?
I can calculate the torque, with neglecting friction.


And what about the change in energy?
I know power = torque*angular velocity
 
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first you need a way to estimate the frictional force F on part.

this frictional force, acting on a shaft of radius R will exert a torque FxR.

You can tell your engine to exert that much more torque and it will cancel out the frictional losses.

If you want to calculate the energy lost:
Power lost = F x velocity
Power lost = F x (R * angular velocity)
Power lost = ( F x R ) * angular velocity

to find the energy lost, you would have to integrate this function. If the angular velocity is constant and the motor is run for a time t, the equation simplifies to:

Energy lost = ( F x R ) * angular velocity * t
 

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