Digital Twin
Maintenance
- Periodic
- Preventive
- Predictive
- Reactive
The difference between Static and Dynamic Unbalance
A simple experiment
A simple model
Centrifugal force of a mass \(m_e\) at distance \(r\) from the center of rotation, with angular velocity \(\omega\): \(F=m_e r \omega\)
Using a lumped mass model, and assuming the damping coefficient and the stiffness of the support are negligible, if the mass or the rotor is \(m\), we can write :
\(m \ddot{x} = m_e r \omega^2 cos(\omega t)\)
\(m \ddot{y} = m_e r \omega^2 sin(\omega t)\)
This allows us to estimate the accelerations under the simplistic assumptions we made.