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Polynomial Tensor-Based Stability Identification of Milling Process: Application to Reduced Thin-Walled Workpiece

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IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 36))

Abstract

This work presents the stability analyses of milling process using a Full-discretization Method (FDM) which is constructed in the framework of second order polynomial tensor approximation of the cutting states. The proposed method is applied to the frequent milling model where the workpiece is considered rigid and the tool is considered compliant and, also, to the case where the thin-walled workpiece is considered flexible and the tool is considered rigid. The rigid tool is treated as a lumped parameter problem while the flexible thin-walled workpiece, being a continuum with very many degrees of freedom (DOF), is treated as a reduced order Finite Element problem. The computed numerical results agree with established results. The method is therefore applicable to the knowledge-based optimization of the milling of aero-structures. For future research, a foundation has been formed for the approach to be generalized for all orders of approximation for full computerization and accuracy optimization of the stability lobes of reduced order milling models using the FDM.

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Acknowledgements

The described research was partially done while I visited the ITM at the University of Stuttgart in the year 2018. This stay was funded by the Priority Program SPP 1897 ‘Calm, Smooth, Smart’ of the DFG (German Research Foundation). This support is highly appreciated. I would like to acknowledge Dominik Hamann for making available data for testing the proposed algorithm and engaging in helpful discussions.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Nigeria, Nsukka, Nigeria

    Chigbogu G. Ozoegwu

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  1. Chigbogu G. Ozoegwu
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Correspondence to Chigbogu G. Ozoegwu .

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Editors and Affiliations

  1. Institute of Engineering and Computational Mechanics, University of Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Jörg Fehr

  2. Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Bernard Haasdonk

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Ozoegwu, C.G. (2020). Polynomial Tensor-Based Stability Identification of Milling Process: Application to Reduced Thin-Walled Workpiece. In: Fehr, J., Haasdonk, B. (eds) IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018. IUTAM Bookseries, vol 36. Springer, Cham. https://doi.org/10.1007/978-3-030-21013-7_15

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  • DOI: https://doi.org/10.1007/978-3-030-21013-7_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-21012-0

  • Online ISBN: 978-3-030-21013-7

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