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Overpower
With the two motors of approximately the same horsepower but with no load speeds of almost 4 to 1, as the load increases, the CIM motor will actually stall out the drill motor and then drive it backwards! I would call that overpowering the drill motor..
I see no benefit in adding the complexity of a diiferential to this system. Just gear the drill motor down approx 4:1 and have both drive the input shaft. It will work just fine.
There was a team in Chicago two years ago that was displaying what they called an "infinately variable transmission". It used a differential on the input, and the idea was, when the load was light, both motors would contribute to the speed of the robot. An interesting idea. They had to go to a worm drive input on the higher speed motor to keep the system from backdriving it under load. They did not need a clutch or the two speed gearing.
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