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An accurate regenerative chatter model in the ball-end milling process that considers high feed rate and shallow axial immersion conditions

机译:考虑高进给率和浅轴向浸入条件的球头铣削过程中的精确再生颤振模型

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This paper proposes an accurate model of a ball-end milling process that considers high feed rate and shallow axial immersion conditions with multiple varying time delays (VTDs) to determine the stability of the system. The criteria that the time delay must satisfy are derived. The effect of the feed motion on the entry and exit cutting angles is discussed herein for the first time to the authors' knowledge in the ball-end milling process. The system dynamics are described by a set of delay differential equations (DDEs) with periodic coefficients and multiple VTDs. In this paper, an improved semi-discretization method (ISDM) is also proposed to determine the stability of the VTD system, which greatly extends the computational efficiency. Then, a discrete dynamical map is deduced to establish the state transition matrix over one time period to predict the stability via the Floquet theory. The improvement of the proposed ISDM is validated by comparing the results with those in other studies.
机译:本文提出了一种球头铣削过程的精确模型,该模型考虑了高进给率和浅轴向浸入条件以及多个可变时延(VTD),以确定系统的稳定性。得出时间延迟必须满足的标准。进给运动对进刀角和出刀角的影响在本文中首次讨论了在球头铣削过程中的知识。系统动力学由一组具有周期系数和多个VTD的延迟微分方程(DDE)来描述。本文还提出了一种改进的半离散化方法(ISDM)来确定VTD系统的稳定性,从而大大提高了计算效率。然后,推导了一个离散的动态映射,以建立一个时间周期内的状态转换矩阵,以通过Floquet理论预测稳定性。通过将结果与其他研究的结果进行比较,可以验证所提出的ISDM的改进。

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