Tool point FRF prediction researches of spindle-holder-tool system

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (13) : 83-88.

WANG Erhua 1 WU Bo2 HU Youmin2 WANGJun 2 YANG Shuzi 2

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Abstract

Tool point frequency response function (FRF) is a prim need for constructing the stability lobe diagrams. Based on Timoshenko beam theory considering rotary inertia and shear deformation, all components of the spindle-holder-tool assembly are modeled as multi-segment Timoshenko beams. This study proposed an analytical method for obtaining the tool point FRF of a given combination by using transfer matrix and receptance coupling approaches. Compared with the calculation results of mode superposition method, the algorithm proposed is verified. The new prediction method can help to obtain the tool point FRFs of machine tools more precisely and quickly, so more accurate stability lobe diagrams can be achieved, and it can lay a foundation for ensuring the stability of high speed cutting processes.

Key words

tool point FRF / Timoshenko beam / RCSA / transfer matrix

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WANG Erhua 1 WU Bo2 HU Youmin2 WANGJun 2 YANG Shuzi 2 . Tool point FRF prediction researches of spindle-holder-tool system[J]. Journal of Vibration and Shock, 2015, 34(13): 83-88

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