Dog Clutch - MapleSim Help

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Dog Clutch

Dog Clutch component

The Dog Clutch component models a clutch where the coupling of the two sides is achieved by the engagement of toothed connections between the two shafts (as opposed to friction in normal clutches). A typical usage of dog clutches is in manual transmissions.

 

Geometry

The Dog Clutch geometry is defined by two parameters; gap and ϵ as shown in the figure below.

 

 

Equations

 

 

 

 

ϕrel = ϕb  ϕa 

 

and

 

 

ωrel = ⅆⅆ t ϕrel 

 

 

&varphi;&Hat;rel  &equals; 0state&equals; 0ϕrel  gap · floorϕrelgap    state  0    and    &varphi;rel  0ϕrel  gap · ceilϕrelgap     state  0    and    &varphi;rel  < 0

 

 

 

τa &plus; &tau;b &equals; 0

 

 

 τb  &equals;s astate &equals; 20state  2

 

   

The contact between the teeth on the two sides of the Dog Clutch is modeled using linear angular springs and dampers: 

 

sa &equals; &lcub;0      τk &plus; τc  0τk &plus; τc      τk &plus; τc < 0gap    ϕ&Hat;rel   gap  &plus;  &varepsilon; 0      τk &plus; τc  0τk &plus; τc      τk &plus; τc &gt; 0 ϵ  ϕ&Hat;rel  < 00      τk &plus; τc  0τk &plus; τc      τk &plus; τc < 00   ϕ&Hat;rel    &varepsilon; 0      τk &plus; τc 0τk &plus; τc      τk &plus; τc &gt;0gap   ϵ    ϕ&Hat;rel  <  gap 0otherwisestate &equals; 20otherwise

 

 

where

 

 

τk  &equals;c · ϕ&Hat;rel  &plus; gap  ϵ      gap  <  ϕ&Hat;rel   gap  &plus;  ϵ c · ϕ&Hat;rel  &plus; ϵ      ϵ  ϕ&Hat;rel  < 0c · ϕ&Hat;rel   ϵ0   ϕ&Hat;rel    &varepsilon;c · ϕ&Hat;rel   gap &plus; ϵgap   ϵ    ϕ&Hat;rel  <  gapstate&equals;20otherwise

 

 

and

 

τc &equals;  d · &omega;rel

 

 

State Machine Definition

 

The Dog Clutch has three distinct states as shown in the figure below.

 

 

 

 

 

state  &equals;  &lcub;&lcub;1                   12   s    1 0                    0   s  <  12 prestate&equals; 0&lcub;      1      ϕ&Hat;rel <gap&plus;&varepsilon;   or  ϕ&Hat;rel   &gt; &varepsilon;     and    ϕ&Hat;rel   < &varepsilon;   or   ϕ&Hat;rel &gt;gap  &varepsilon;2otherwise         12   s    10           0   s  < 12prestate&equals; 1   2                  12   s    10                    0   s  < 12prestate&equals; 2

 

The boolean output locked is defined as

 

locked &equals; 0state   21state  &equals; 2

 

 

Connections 

Name

Condition

Description

ID

flangea

-

Flange to side a

flange_a

flangeb

-

Flange to side b

flange_b

signal

-

Real input signal for clutch activation, from 0 (disengaged) to 1 (engaged)

signal

locked

-

Boolean output port for the clutch state

false: free

true: locked

state_locked

 

Parameters

Symbol

Condition

Default

Units

Description

ID

gap

-

&pi;6

rad

see "Geometry" section above

gap

ϵ

&pi;18

rad

see "Geometry" section above

epsilon

c

-

1105

N·mrad

Angular teeth stiffness

c

d

100

N·m · srad

Angular teeth damping

d

See Also

MapleSim Driveline Library Overview

MapleSim Library Overview

1-D Mechanical Overview

Clutches and Brakes

 

 


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