ABSTRACT
In the analysis of the drive system with a ¹exible coupling, the following models can be used [HSC99, SO07,PS08,DKT93,VBL05]:
• že model with distributed parameters • že Rayleigh model • že inertia-sha³-free model
26.1 Introduction ....................................................................................26-1 26.2 Mathematical Model of the Drive ................................................26-1 26.3 Methods of Torsional Vibration Damping .................................26-3 26.4 Passive Methods ..............................................................................26-3 26.5 ModiŸcation of the Classical Control Structure........................26-5 26.6 Resonance Ratio Control ...............................................................26-8 26.7 Application of the State Controller ............................................26-10 26.8 Model Predictive Control ............................................................26-11 26.9 Adaptive Control ..........................................................................26-14 26.10 Summary ........................................................................................26-18 References ..................................................................................................26-21
že selection of the suitable model is a compromise between the obtained modeling accuracy and calculation complexity. In the model with distributed parameters, it is assumed that the inertias of the motor, sha³, and load machine are split through the axis of movement. žis model can ensure the best accuracy of results; it is characterized by an inŸnite degree of freedom. However, the equations describing the system are the partial di¦erential equations with the form inconvenient for control structure analysis. žerefore, in the analysis of the system with ¹exible joints, the di¦erent models, which reduce the threedimensional phenomena, are utilized commonly.
