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Mathematical models for surface characterization of machining processes

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Abstract

The reliable production of micro-parts by cold forming requires the optimization of all steps of this process chain. The quality of the final products in particular depends on the tribological properties of the moulds. Mathematical models for describing the cutting process as well as for characterizing the resulting tribological surface properties are needed for assisting the production of suitable moulds. Classical models for cutting processes are based on a description of the static behaviour. However, the high-quality demands of production processes in the micro-range require to include the influence of vibrations based on a dynamic model. The main sources for vibrations are imbalances in the rotating parts of the machinery and external forces which are introduced during the production process itself, e.g. impact forces due to interrupted cuts. This article describes a basic model, which includes the influence of vibrations. In addition, a non-standard approximation technique is used for characterizing surfaces.

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Acknowledgments

The research presented in this article has been supported by the German Research Foundation (DFG) within the SFB 747.

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Authors and Affiliations

  1. Zentrum für Technomathematik, Universität Bremen, Bremen, Germany

    Peter Maass

  2. Fachgebiet Fertigungseinrichtungen, Universität Bremen, Bremen, Germany

    Bernd Kuhfuß

  3. Labor für Mikrozerspanung, Universität Bremen, Bremen, Germany

    Oltmann Riemer

Authors
  1. Peter Maass
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  2. Bernd Kuhfuß
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  3. Oltmann Riemer
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Correspondence to Oltmann Riemer.

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Maass, P., Kuhfuß, B. & Riemer, O. Mathematical models for surface characterization of machining processes. Microsyst Technol 14, 1989–1993 (2008). https://doi.org/10.1007/s00542-008-0687-z

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  • DOI: https://doi.org/10.1007/s00542-008-0687-z

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