SimDriveline™

Ring-Planet

Represent set of carrier, planet, and ring gear wheels with specified ring-planet gear ratio

Library

Gears

Description

The Ring-Planet gear block represents a set of carrier, planet, and ring gear wheels. The planet is connected to and rotates with respect to the carrier. The planet and ring corotate with a fixed gear ratio that you specify and in the same direction with respect to the carrier. A ring-planet gear is, along with a planet-planet gear, a basic element of a planetary gear set.

Axis Motions and Constraints

The Ring-Planet block imposes one kinematic and one geometric constraint on the three connected axes:

r_Rω_R = r_Cω_C + r_Pω_P , r_R = r_C + r_P

In terms of the ring-to-planet gear ratio g_RP = r_R/r_P, the effective kinematic constraint is

g_RP·ω_R = ω_P + (g_RP – 1)ω_C ,

reducing the three axes to two independent degrees of freedom.

The gear ratio is also the ratio of the number of teeth on each gear and the ratio of the torques in each axis, g_RP= N_R/N_P = τ_R/τ_P.

Warning All gear ratios must be strictly positive. If any gear ratio equals 0 or becomes negative at any time, a SimDriveline™ simulation stops with an error.

The ring-planet gear ratio g_RP must be strictly greater than one.

Ring-Planet Gear Set

Viewing a Mechanical Drawing of the Ring-Planet Gear

Click here to open a detailed mechanical drawing of the ring-planet gear set.

Viewing a Ring-Planet Gear Animation

If you are connected to the Internet and have an AVI-compatible media streaming application installed on your system, click here to play a recorded animation of the ring-planet gear set. The animation takes a short time to download and start.

Dialog Box and Parameters

Ring (R)/Planet (P) gear ratio: Ratio g_RP of the ring gear wheel radius to the planet gear wheel radius. This gear ratio must be strictly greater than 1. The default value is 2.

Example