Kinematics of a double pinion planetary gear system

In summary, the conversation discusses a problem with analyzing the kinematics of an epicyclic gear system. The system contains 2 planetary gears and a ring gear, all in line with each other. The speaker is struggling with finding the linear velocity between the two planetary gears and has obtained an equation involving angular velocity and radius. They ask if it is correct to assume that the linear velocity is equal to the product of the angular velocity and radius for both gears. The other person confirms that this assumption is correct.
  • #1
sgia2
1
0
Hi, I am having a problem analysing the kinematics of an epicyclic gear system. The system contains 2 planetary gears, one on top of the other. The centers of the planetary gears and the sun gear are all in line. The system also contains a ring gear on the top most planetary gear. Both planetary gears a connected to a common carrier. My direct problem is getting the linear velocity between the two planetary gears. I have obtained the following equation: Wp1*Rp1 + Wp2*Rp = Wc*(R5 +R6)?
W is angular velocity, R is radius and V is linear velocity

Where p1 refers to the topmost planetary gear and c stands for carrier. Now would I be right to assume that Wp1*Rp1 = Wp2*Rp = Vp12?
 
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  • #2
Yes, you can assume that Wp1*Rp1 = Wp2*Rp = Vp12. That is, the linear velocity between the two planetary gears is equal to the product of the angular velocity of each gear and the radius of each gear.
 

Related to Kinematics of a double pinion planetary gear system

What is a double pinion planetary gear system?

A double pinion planetary gear system is a type of gear system that consists of two pinion gears attached to a central sun gear, which then meshes with multiple planet gears. This configuration allows for more power transmission and torque distribution compared to a traditional single pinion system.

How does a double pinion planetary gear system work?

In a double pinion planetary gear system, the two pinion gears rotate at the same speed in opposite directions, causing the sun gear to rotate and drive the planet gears. The planet gears then transmit the power to the outer ring gear, which is connected to the output shaft.

What are the advantages of using a double pinion planetary gear system?

Some advantages of a double pinion planetary gear system include increased power transmission, improved efficiency, and smoother operation due to the distributed load on the planet gears. This type of gear system is also compact, which makes it suitable for various applications.

What are the limitations of a double pinion planetary gear system?

One limitation of a double pinion planetary gear system is the possibility of misalignment between the two pinion gears, which can lead to uneven load distribution and premature wear. Additionally, this type of gear system requires precise manufacturing and assembly, which can be more expensive.

What are some common applications of a double pinion planetary gear system?

Double pinion planetary gear systems are commonly used in automotive transmissions, industrial machinery, and wind turbines. They are also used in various power transmission systems, such as conveyor belts and cranes, where high torque and efficiency are required.

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