Determining model parameters
To configure the "AntiSlosh" add‑on, you first have to determine the model parameters "Undamped natural frequency f0", "Damping D", and "Nominal speed of the application". Model parameters are determined as follows:
- Determine the parameters "Natural frequency f0" and "Damping D" using the impulse response of the "container-liquid" system. To do this, measure the "Angle of inclination α" of the liquid surface.
- Based on the measured impulse response, determine the oscillation period Td of the damped system. The first maxima belonging to the settling process are not included in the evaluation. Td is given directly by the distance between two maxima.
- Using the "Logarithmic decrement Λ", calculate the "Decay constant δ" and the "Damping factor D" using the following formulae:
- Use the following formula to calculate the "Natural frequency of the undamped system f0":
- Use the following formula to calculate the "Nominal application speed" (the speed of the master axis vMaster must be configured in user units per second):