Flutter stability and main resonance of a milling system considering structural nonlinearity of cutter bar

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (23) : 62-69.

REN Yongsheng, MA Bole, MA Jingmin

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Abstract

Here, flutter stability and main resonance of a milling system considering structural nonlinearity of cutter bar and structural damping were investigated.The cutter bar was simplified as a planar bending cantilevered beam model made of a viscoelastic material with effects of structural damping.Using the cutting force model containing regenerated time delay effect and periodic excitation, the nonlinear dynamic equations for the milling system were built with Hamilton principle.Galerkin method was employed to simplify the partial differential dynamic equations, and derive the ordinary differential ones expressed with principal coordinates.The milling system’s stability lobes figures were obtained through time domain integration.The multi-scale method and the perturbation one were used to solve ordinary differential dynamic equations, and obtain the closed-form approximation solution of the milling system’s main resonance response under periodic excitation.Effects of cutter bar sizes, structural damping, cutting force coefficient, cutting depth and cutting force amplitude, etc.on the system’s lobes figures and main resonance response curves were studied to get several interesting conclusions.

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milling / structural damping / main resonance / nonlinear flutter

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REN Yongsheng, MA Bole, MA Jingmin. Flutter stability and main resonance of a milling system considering structural nonlinearity of cutter bar[J]. Journal of Vibration and Shock, 2019, 38(23): 62-69

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