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<p>High length-to-diameter ratio milling cutters are prone to vibration during machining due to insufficient rigidity. This vibration compromises surface quality and machining efficiency. To enhance the vibration resistance of the cutter shank, this study proposes a vibration-damping milling cutter equipped with a Hertzian contact tuned mass damper (CTMD). The CTMD builds upon the conventional tuned mass damper (TMD) by introducing an internal Hertzian collision mechanism to enhance energy dissipation. The collision-induced energy dissipation is described using Hertzian contact theory. A dynamic model of the CTMD is established, and its displacement response under harmonic excitation is obtained through numerical analysis. Based on this model, the structural design is completed and verified via modal and harmonic response analyses. Modal hammer tests, vibration amplitude measurements, and cutting experiments were conducted on a milling cutter with an length-to-diameter ratio of 6. The modal and harmonic response analyses show that the CTMD reduces the vibration amplitude by 51% compared with the conventional TMD. The modal hammer test results indicate that the CTMD shortens the acceleration decay time by 30.6%. The vibration amplitude measurements reveal a 61.3% reduction in amplitude. Cutting experiments further confirm that, under the tested machining parameters, the CTMD-equipped cutter reduces the cutting force by 27.6% and achieves lower surface roughness.</p>

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Investigation on vibration damping model with Hertz collision tuned mass damping for milling cutters

  • 期刊论文

  • 发表日期：

    2026年7月14日

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  • Pengjie He,
  • Xuehui Pang,
  • Huibin Qin,
  • Haitao Yan,
  • Shenchen Wang

摘要

High length-to-diameter ratio milling cutters are prone to vibration during machining due to insufficient rigidity. This vibration compromises surface quality and machining efficiency. To enhance the vibration resistance of the cutter shank, this study proposes a vibration-damping milling cutter equipped with a Hertzian contact tuned mass damper (CTMD). The CTMD builds upon the conventional tuned mass damper (TMD) by introducing an internal Hertzian collision mechanism to enhance energy dissipation. The collision-induced energy dissipation is described using Hertzian contact theory. A dynamic model of the CTMD is established, and its displacement response under harmonic excitation is obtained through numerical analysis. Based on this model, the structural design is completed and verified via modal and harmonic response analyses. Modal hammer tests, vibration amplitude measurements, and cutting experiments were conducted on a milling cutter with an length-to-diameter ratio of 6. The modal and harmonic response analyses show that the CTMD reduces the vibration amplitude by 51% compared with the conventional TMD. The modal hammer test results indicate that the CTMD shortens the acceleration decay time by 30.6%. The vibration amplitude measurements reveal a 61.3% reduction in amplitude. Cutting experiments further confirm that, under the tested machining parameters, the CTMD-equipped cutter reduces the cutting force by 27.6% and achieves lower surface roughness.