Rotational Force Balance Model (1 DOF)
The force balance equation for rotational motion in one direction is given as:
where,
I | moment of inertia |
θ | angle of rotation in radians |
t | time |
Hydrodynamic Torque
where,
τhydronamic | hydrodynamic torque |
τpressure | pressure torque |
τshear | shear torque |
Spring Torque
where,
τpreload | torsion preload torque |
τspring | spring torque |
kτ | torsion constant |
α | angular acceleration |
Damping Torque
where,
τdamping | damping torque |
Dτ | damping coefficient |
ω | angular velocity |
Additional force may be added using additional force on body.
Retarding (Friction) Torque
where,
τfriction | friction torque |
μ=μstatic | static friction coefficient for a stationary part |
μ=μsliding | sliding friction coefficient for a moving part |
N | normal component of the contact force |