Modelling of Dynamical Behavior of a Spindle-Holder-Tool Assembly (original) (raw)

This paper describes the complete procedure for mathematical modeling of dynamic behavior of a spindle holder – tool assembly. The developed model, in addition to translational, takes into account the rotational degrees of freedom, and therefore can be used for calculation and prediction of frequency response function of a spindle tool holder – tool assembly. In order to properly describe behavior of a dynamic system with correspondent mathematical model, including a spindle assembly, it is necessary, in addition to the exact mathematical model, to define unknown model parameters, i.e. different types of connections, which are very difficult, often impossible, to determine in the experimental way. Accordingly, this paper describes the mathematical formulation of the Levenberg-Marquardt method which was applied to identify the unknown parameters of a spindle assembly. In order to verify the proposed mathematical model of the spindle – holder – tool assembly and the principles for ide...