Dynamic analysis of micro-endmill by Chebyshev spectral method

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (18) : 28-33.

HUANG Yi-xin 1 Yin Qing-feng 2 Zhao Yang 2

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Abstract

A Chebyshev spectral method for studying dynamic characteristics of micro-endmill was presented. Considering the shear deformation and rotary inertia of micro-endmill, uniform and tapered Timoshenko beam models were used. The discrete forms of dynamic models were gained by Chebyshev spectral method and synthesized by dynamic substructure technique to get the system equation of motion. A software package for solving the natural frequencies and modal shapes was developed. To validate the method, the impacts of structural parameters to dynamic characteristics were researched. The simulation results were compared to with the ones of stepped beams method and finite element method. It shows that result converges to the range of 0.04% when number of polynomials larger than 16. This method has a good precision and can be applied to optimize structural parameters of micro-endmill.

Key words

micro-endmill / Chebyshev spectral method / dynamic characteristics / dynamic substructure technique

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HUANG Yi-xin 1 Yin Qing-feng 2 Zhao Yang 2. Dynamic analysis of micro-endmill by Chebyshev spectral method[J]. Journal of Vibration and Shock, 2016, 35(18): 28-33

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