It's my understanding that in a planetary gearbox, force moves through the system via four mechanisms: the ring gear, the planet gears, the planetary carrier, and the sun gear. I'm trying to understand how to calculate torque coming into the system by measuring it at only one of these four points.
In my mental model of the problem, I understand that a force transfer will occur from the ring, through the planets and/or the planetary carrier, and into the sun gear.
My intuition tells me that if the resistance in the planetary carrier is greater than the resistance in the sun gear, the planetary carrier will not rotate and instead force will be transferred by the individual planets gears (rather than the planet carrier). In this case, would measuring the torque experienced by the planetary carrier measure the input torque?
To phrase the question in a more tangible way, in this system:
Ring gear (input) (unknown torque)
Sun gear (output) (has some unknown resistance)
Planetary Carrier (fixed to housing with a static torque sensor between)
Would I be able measure the torque produced from the the Ring Gear via the static torque sensor on the planetary carrier?