Prediction of frequency response function (FRF) of asymmetric tools from the analytical coupling of spindle and beam models of holder and tool

Date

2015-05-01

Author

Özşahin, Orkun

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The prediction of chatter stability diagrams in milling requires accurate frequency response functions (FRF) at the tool - workpiece contact zone. Traditionally, the most accurate FRFs are best obtained through the experimental modal testing of each tool, which is costly. This paper presents analytical modeling and coupling procedures for spindle-holder-tool assemblies with asymmetric tools. Tools and holders are analytically modeled with continuous Timoshenko beams, while considering variation of the cross section geometry of the fluted sections and helix angle. While each solid part segments with varying geometry are assembled with rigid receptance coupling, the holder-spindle and tool-holder are coupled using contact stiffness and damping. The asymmetric cross sections of the helical end mills cause the variation of FRF as a function of the spindle's angular position. It is experimentally proven that the proposed method can predict the FRFs as the asymmetric tools rotate.

Subject Keywords

Receptance coupling, Asymmetric tools, Machine tool dynamics

URI

https://hdl.handle.net/11511/41421

Journal

INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE

DOI

https://doi.org/10.1016/j.ijmachtools.2015.03.001

Collections

Department of Mechanical Engineering, Article

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Citation Formats

O. Özşahin, “Prediction of frequency response function (FRF) of asymmetric tools from the analytical coupling of spindle and beam models of holder and tool,” INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, pp. 31–40, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41421.