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CVT

Continuously Variable Transmission component

        

 

The CVT component models the Continuously Variable Transmission.  The CVT is a type of transmission that allows changes in gear ratio without the “bumps” experienced with discrete gear changes. Mechanically, a CVT has two conical pulleys, connected by a belt drive. Changes in ratio are effected by adjusting the gap between the two sides of the pulleys, thus changing the relative diameters of the pulley and hence the gear ratio.

 

Kinematic Equation

 

Ideal Case

 

ϕb  =  r·ϕa  

 

r · τb=  τa

 

 

Non-Ideal Case

 

ϕb =  r ·κ  · ϕa 

 

 

r · τb =  τaτloss

 

 

Where

 

 

&kappa;&equals;1Sr       &omega;a·τa0     11Sr      ωa·τa<0

and Sr is the slip number (user input), also the torque loss is defined as

 

τloss&equals;&lpar;1&eta;&rpar; · &tau;a        ωa·τa0  &lpar;11&eta;&rpar;·&tau;a     ωa·τa<0

 

 

where η is the torque efficiency (user input). Also

 

ωa = &DifferentialD;&DifferentialD; t ϕa &equals;&varphi;·a 

 

 

Connections 

Name

Condition

Description

ID

flangea

-

Flange to driver shaft

flange_a

flangeb

-

Flange to driven shaft

flange_b

r

-

Base (geometric) CVT ratio

ratio

Slip Number Sr

ideal&equals;false

Conditional real input port for the slip number

slip_number

Efficiency &eta;

ideal&equals;false

Conditional real input port for the torque efficiency

efficiency

 

 

Parameters

Symbol

Condition

Default

Units

Description

ID

ideal

-

true

-

Defines whether the component is:

true - ideal or

false - non-ideal

ideal

 

See Also

MapleSim Driveline Library Overview

MapleSim Library Overview

1-D Mechanical Overview

CVT and Torque Converter

 

 

 


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