Dual Stage Rack & Conveyor

  1. The Belt and Pinion are fixed to the same stationary object as shown in brown.
  2. The idler pulleys are both mounted to the rack, as shown in green.
  3. If the Rack moves 1cm, then Stage 2 moves 2cm. Ie. 2:1 ratio.

 

Symbol Description Units

JDM

Inertia of drive mechanism

kg-m2

TDM

Torque of drive mechanism

Nm

aDM

Rotational acceleration

rad/s2

h1

Efficiency of stage 1 pinion transmission

 1

h2

Efficiency of stage 2 belt transmission

 1

q

Incline angle above horizontal

o

m1

Friction coefficient for stage 1

  

m2

Friction coefficient for stage 2

  

g

Acceleration due to gravity = 9.81

m/s2

mLoad

Mass of load + payload

kg

mCB

Mass of counterbalance

kg

mBelt

Mass of belt

kg

mRack

Mass of rack

kg

mStage2

Mass of stage 2

kg

mIP1

Mass of idler pulley 1

kg

mIP2

Mass of idler pulley 2

kg

JP

Inertia of pinion

kg-m2

JIP1

Inertia of idler pulley 1

kg-m2

JIP2

Inertia of idler pulley 2

kg-m2

rP

Radius of pinion

m

rIP1

Radius of idler pulley 1

m

rIP2

Radius of idler pulley 2

m

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