How Do You Solve a Complex Epicyclic Gearbox Assignment?

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The discussion centers on a mechanical engineering student's struggle with a complex epicyclic gearbox assignment, specifically calculating the output speed to input speed ratio. The student has successfully completed a previous related question, achieving a 6:1 reduction ratio and a fixing torque of 25.46 Nm, but feels unprepared for the more complicated current question. Key concepts mentioned include the module calculation (m = D/T) and the importance of matching modules for meshing gears. The student seeks guidance on how to approach the modified gearbox question, highlighting a lack of covered examples in their lessons. Overall, the inquiry emphasizes the need for clearer instructional support on complex gearbox calculations.
dstealth
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Hi all, I'm Chris, a first time poster!

Currently stuck on an assignment question for my mechanical engineering course. The question is shown in the picture below. The capital T refers to 'teeth', as in 20T is 20 teeth on that particular gear. Ignore the little arrows with P and S - that is just me labeeling up the planetary and the sun gears. I answered a previous question on epicyclic gearboxes no problem but we have not been taught how to answer one this complex:-

Picture 002.jpg


Any pointers?

Thanks in advance.
 
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The question is essentially asking for the ratio of the output speed to the input speed.

If I remember correctly the module m= D/T and for meshing gears, the modules are the same.
 
rock.freak667 said:
The question is essentially asking for the ratio of the output speed to the input speed.

If I remember correctly the module m= D/T and for meshing gears, the modules are the same.

Shown in the pictures is the previous question which that question is based upon, along with my working out. I calculated a 6:1 reeduction ratio for the first question and a fixing torque of 25.46 Nm. I just don't know how to do the second question of the 'modified' gearbox that I posted in the first post.

Picture 003.jpg


Picture 004.jpg


Thanks
 
I'm sure the working out is simple, it's just we haven't covered any examples like this in the lesson.
 
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