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Author: Hömberg, Dietmar × End date: 2009 × Start date: 2000 × Has files: Yes × Type: Text × Publisher: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik × Subject: stability ×

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    A comparison of analytical cutting force models
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Rott, Oliver; Hömberg, Dietmar; Mense, Carsten
    The modeling of dynamic processes in milling and the determination of stable cutting conditions have become increasingly important for the optimization of manufacturing processes. Analytic approaches and time domain simulations based on simplified dynamic systems are used to identify chatter-free machining conditions. Stresses applied to the system are generally estimated by cutting force models. The goal of this paper is to compare the influence of the cutting force models on the stability limits. Numerical simulations of a simplified, generic milling machine model are therefore performed, while varying the cutting force approach. In order to distinguish stable from unstable cutting conditions a numerical stability criterion is used. The resulting stability charts are then investigated and analyzed to show the effect of the different cutting force models.
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    A milling model with thermal effects including the dynamics of machine and work piece
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Rott, Oliver; Rasper, Patrick; Hömberg, Dietmar; Uhlmann, Eckart
    This paper deals with the development of a new mathematical model that characterizes the structure-process interaction for a complex milling system. The structure is divided into a work piece and a machine part, which are represented by different models. While the machine dynamics is characterized by a standard multi-body system, the work piece is described as a linear thermo-elastic continuum. The coupling of both parts is carried out by an empirical process model permitting an estimate of heat and coupling forces occurring during milling. This work reports the derivation of the governing equations emphasizing the coupling and summarizes the numerical algorithms being applied to solve the coupled equation system. The results of numerical simulations that show the dynamics of the complex thermo-mechanical system are presented at the end.