Skip to content

Digital Twin

Maintenance

  • Periodic
  • Preventive
  • Predictive
  • Reactive

The difference between Static and Dynamic Unbalance

A simple experiment

code

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.