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Estimation of average roughness of X200Cr12 steel using displacement from the tool nozzle

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Abstract

In this work, we present a modeling of the dynamic behavior of a turning tool. The goal is to show that it is possible to estimate the roughness average of the workpiece starting from resulting displacement from the tool nozzle. The tool is modeled by the Euler beam clamped-free, excited by the cutting force at its free end. The formulation of the motion equations of the tool is based on the Hamilton variational principle and their resolutions are carried out by the modal method and the Duhamel integral. As the excitation is unspecified, the integrals are evaluated numerically. The three components of the cutting force, obtained experimentally, permit to calculate the tool nozzle displacements. The comparison of the calculated average roughness with the measured one shows a good agreement. We present also a validation of the experimental results of the resulting displacement of the tool nozzle with the calculated displacement.

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Acknowledgments

The authors wish to thank the technical assistance during the machining in the LMS Laboratory (Université 8 Mai 1945, Guelma, Algeria), where this research work was carried out. The Algerian General Direction of Research (DGRSDT) is also acknowledged for its support.

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Authors and Affiliations

  1. Laboratoire de mécanique appliquée des nouveaux matériaux (LMANM), Department of Mechanical Engineering, Université 8 Mai 1945 Guelma, Box 401, 24000, Guelma, Algeria

    N. Kribes & A. Rezaiguia

  2. Laboratoire de mécanique et structures, Department of Mechanical Engineering, Université 8 Mai 1945 Guelma, Box 401, 24000, Guelma, Algeria

    N. Ouelaa & M.A. Yallese

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  1. N. Kribes
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  2. A. Rezaiguia
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  3. N. Ouelaa
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  4. M.A. Yallese
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Correspondence to N. Kribes.

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Kribes, N., Rezaiguia, A., Ouelaa, N. et al. Estimation of average roughness of X200Cr12 steel using displacement from the tool nozzle. Int J Adv Manuf Technol 110, 3323–3337 (2020). https://doi.org/10.1007/s00170-020-06067-2

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  • DOI: https://doi.org/10.1007/s00170-020-06067-2

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