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Stiffness and natural frequency effects on a hollow truncated conical shaft

Abstract:

Larger tool length-diameter ratios generate undesired mechanical vibrations during machining processes. Previous studies show that natural frequency increases by adding a central hole and reducing the mass. Using FEA, the static stiffness and natural frequency response for different hole geometries, applied to conical shafts of various slenderness ratios were determined. The results show a convergence between an increase of natural frequency and decrease of static stiffness. In some cases, it was found that the working frequency range increases without considerably decreasing the rigidity, enhancing the response against vibrations. These findings could be implemented to develop reliable machining tools.