UniversalCoupling

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UniversalCoupling

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Iconic Diagrams\Mechanical\Rotation\Gears

Use

Domains: Continuous. Size: 1-D. Kind: Iconic Diagrams (Rotation).

Description

CouplingUniversal5

Universal Joint couplings are used to couple axes which are not aligned. The can be used in single or double set-up. Consider the single Universal Joint coupling, shown in the picture below.

CouplingUniversal1

Due to the nature of the coupling, the output angular velocity w1 will show a sinusoidal ripple, compared to the input angular velocity w2:

CouplingUniversal4

with α the angle between the two axes and j1 the initial rotation of the input axis. The initial rotation j1 is defined with respect to a plane that is spanned by the axes (1 and 2).

 

When two Universal Joint couplings are combined, the angular velocity of the output axis will be equal to the angular velocity of the input axis (e.g. no ripple) when two conditions are met. When the output axis of the first coupling is connected to the input axis of the second coupling, these conditions are:

1.For both couplings the absolute value of the angle α should be equal.
2.The difference in initial rotation of both couplings ( j1 - j2) should be equal to +p/2 [rad] or -p/2 [rad].

Two alignments are shown in the figure below.

CouplingUniversal2

 

 

CouplingUniversal3

α = 0.35, α' = -0.35 , j1 = 0, j1' = p/2 [rad]

α = 0.35, α' = 0.35 , j1 = 0, j1' = p/2 [rad]

Interface

Ports

Description

p1, p2

The input and output axes (Rotation)

Causality

 

 

 

Input

 

p1 not equal p2

 

Parameters

 

alpha

The angle between the two axes (α).

Initial Values

 

phi1_initial

The initial rotation of the input axis (j1).