Operations between rotating elements

Asked Jan 15 '23 at 19:43

Active Jan 16 '23 at 00:05

Viewed 33 times

Given two (or more) rotating elements, which mathematical operations can be done between them?

For example:

Different gear ratios can be used to multiply a rotating element's angular velocity by a fixed scalar.
A differential gear can be used to average the angular velocity of two axles. If we then multiply the result by two (see point above), we have a way to add angular velocities.
I'm fairly sure a clever arrangement with a CVT gear system can be used to "multiply" the angular velocity of two rotating elements.

Is there a systematic approach to this? Can someone point me to some reference material?

edited Jan 16 '23 at 00:05

asked Jan 15 '23 at 19:43

impresso

Many textbooks exist, one is Mechanics of Machines by Ryder & Bennet. – Solar Mike Jan 15 '23 at 19:53
I've had a look at the index, and it seems to be a regular textbook on the principle of mechanics. What I'm looking for is a more systematic analysis (from an abstract standpoint, mostly) of the possible mathematical operations between rotating parts. – impresso Jan 15 '23 at 20:23
So, only several hundred other books to check. – Solar Mike Jan 15 '23 at 20:24
Lovely, can you point me to one? – impresso Jan 15 '23 at 20:24
I did, but not doing your research for you. Can't even be bothered to check in my own library. – Solar Mike Jan 15 '23 at 20:28

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