Epicyclic gear:modules for the sun,planet and ring gear

AI Thread Summary
In a planetary gear set, the module (M) of the sun, planet, and ring gears must be equal for proper meshing. The relationship between the pitch circle diameters (PCD) and the number of teeth (N) is valid only when all gears share the same module. If the modules differ, the gears would not achieve rolling contact, leading to operational issues. Applications of this principle are crucial in ensuring efficient gear design and functionality. Therefore, maintaining equal modules across all gears in a planetary system is essential for performance.
marellasunny
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Is the module(M) of the sun,planet and ring gear in a 'planetary gear set' equal to each other always? Is it possible for M to be different for each of the gears in the set?[-Applications of this?]

$$PCD_{Ring}=PCD_{Sun}+2*PCD_{Planet}\Rightarrow N_{Ring}=N_{Sun}+2*N_{Planet}$$

is valid only when the modules of all the 3 gear types are same.

where,
PCD- pitch circle diameter
N- no. of teeth
 
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All gears that mesh together must be of the same module or DP.
If that was not so the teeth would not be in rolling contact.
 
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