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Effects of Non-Linear Stiffness on Turn Process Stability in Horizontal Turning Machines
Hadraba, Petr ; Chih-Chun, Douglas Cheng, (oponent) ; Kolář, Petr (oponent) ; Hadaš, Zdeněk (vedoucí práce)
Nonlinear stiffness affects the dynamics of modern machine tools. An important parameter of machine tool productivity is self-excited vibration, which limits the performance of the machine tool. This work was motivated by an industrial case where the behaviour of a machine tool cannot be predicted by traditional methods and the machine exhibits a significant change in dynamic behaviour. This work presents a step-by-step analysis that was focused on the simulation of self-excited vibrations and the effect of nonlinear stiffness on the resulting vibration stability. As the complexity of the model increases, a linearisation approach has been introduced that allows faster analysis of the machining stability. For better mapping and creation of a stability lobe diagram for a nonlinear structure, an algorithm for the synthesis of linearised solutions at the working point is presented. The linearisation approach was combined with nonlinear static simulation considering the nonlinear behaviour model of the linear ball guide and used to predict vibration behaviour. The nonlinear static model uses a dynamic cosimulation and substructuring method to incorporate the effects of structural deformation into the analysis. The experimental machining test made it possible to compare the analysis results and demonstrated good agreement with the maximum frequency deviations in the 3 Hz band.

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