Question

Figure 4 shows a six-element planetary transmission, where spur gears 1 and 2 have an mi module, spur gears 3 and 5 have an m2 module, and spur gears 4 and 6 have an mj module. a. Write the train output velocity (Op) formula as a function of the angular velocity of shafts A, B and C, and tooth numbers Ni to No b. Establish the angular velocity of the output shaft D when : 1. Shaft B is held stationary and shaft A has an input velocity 2. Shaft A is held stationary and shaft B has an input velocity; 20, N2 60, Ns 27, N4 22, Ns 75 and N6 70, and c. If the tooth numbers are N the input torque is 100 N m clockwise, calculate the output torque for conditions lof question b. Consider a 100% efficiency. d. For the operating conditions of question c, show on a 3D sketch, the forces acting on all gear wheels (direction and sense) as well as the angular velocities and torques on shafts A and D. Finally, if mi, m2 and m are 3 mm, 5 mm and 5 mm, respectively, calculate the magnitude of the forces. Describe and comment on each step of the solution (in words). Figure 4: Transmission

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Answer 1

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