Rotary


 

Unbalanced Load and Incline Angle
Motion profile position, b = 90°

Incline, q = 0°
Above Horizontal
Side View
 

Incline, q = 90°
Above Horizontal
Side View
 
 

Incline, q = 0°
Above Horizontal
Bottom View
 
 

Incline, q = 45°
Above Horizontal
Side View
 

 


  

Comments

Per the above formulae, the Disc Mass, MDisc, and Load Mass, MLoad, are only used for the Torque due to friction, Tm, and only have an effect when the incline angle, q, is < 90o

Symbol Description Units

JDM

Inertia of drive mechanism

kg-m2

JCoupling

Inertia of coupling

kg-m2

JDisc

Inertia of disc

kg-m2

JLoad

Inertia of load + payload

kg-m2

TDM

Torque of drive mechanism

Nm

TThrust

Thrust torque at load

Nm

Tm

Torque due to friction

Nm

TUL

Torque due to unbalanced load

Nm

aDM

Rotational acceleration

rad/s2

h

Efficiency of drive mechanism

1

b

Motion profile position

o

q

Incline angle above horizontal

o

mDisc

Disc friction coefficient

 

MDM

Mass of drive mechanism

kg

MDisc

Mass of disc

kg

MLoad

Mass of load

kg

MUL

Mass of unbalanced load

kg

rUL Offset radius of unbalanced load m

g

Acceleration due to gravity = 9.81

m/s2

Fr

Radial force

N

Fa

Axial force

N

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