A theoretical and experimental investigation into multimode tool vibration with surface generation in ultra-precision diamond turning

• In UPDT, multimode high frequency tool vibration (MHFTV) is a natural feature.
• Dampers cause the variation of tool's multimode high frequencies.
• The MHFTV produces non-uniform zebra-stripe-like patterns at a surface of UPDT.
• Cutting force and tool's stiffness determines the effects of the MHFTV on surface roughness height.

In ultra-precision diamond turning (UPDT), tool's high frequency vibration is natural mechanism influencing nanometric surface roughness of machined components. Its first mode high frequency vibration has been overemphasized. However, its multimode high frequency vibration (MHFTV) has not been reported. In the paper, the MHFTV and its effects on surface generation in UPDT are firstly studied. The experimental and theoretical results verify that (i) diamond tool naturally possesses multimode high frequencies, i.e. one sub-high frequency (SHF) for the tool shank tip, one high frequency (HF) for the tool tip, and one ultrahigh frequency (UHF) for the diamond tip; (ii) dampers cause the variation of tool's multimode high frequencies, under which the MHFTV together produces non-uniform zebra-stripe-like patterns at a machined surface; and (iii) cutting force has a linear relationship with and tool's stiffness has a reverse proportion to the amplitude of the MHFTV to influence surface generation, which can be used to improve surface quality.

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