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Nonlinear Modeling and Dynamic Simulation Using Bifurcation and Stability Analyses of Regenerative Chatter of Ball-End Milling Process

机译：球头铣削过程再生振颤的分叉和稳定性分析的非线性建模和动态仿真

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摘要

A dynamic model for a ball-end milling process that includes the consideration of cutting force nonlinearities and regenerative chatter effects is presented. The nonlinear cutting force is approximated using a Fourier series and then expanded into a Taylor series up to the third order. A series of nonlinear analyses was performed to investigate the nonlinear dynamic behavior of a ball-end milling system, and the differences between the nonlinear analysis approach and its linear counterpart were examined. A bifurcation analysis of points near the critical equilibrium points was performed using the method of multiple scales (MMS) and the method of harmonic balance (MHB) to analyse the local chatter behaviors of the system. The bifurcation analysis was conducted at two subcritical Hopf bifurcation points. It was also found that a ball-end milling system with nonlinear cutting forces near its critical equilibrium points is conditionally stable. The analysis and simulation results were compared with experimental data reported in the literature, and the physical significance of the results is discussed.
机译：提出了一种球头铣削过程的动力学模型，该模型考虑了切削力的非线性和再生颤振效应。非线性切削力使用傅里叶级数近似，然后扩展到泰勒级数直至三阶。进行了一系列非线性分析，以研究球头铣削系统的非线性动力学行为，并研究了非线性分析方法与其线性对应方法之间的差异。使用多尺度（MMS）方法和谐波平衡（MHB）方法对临界平衡点附近的点进行了分叉分析，以分析系统的局部颤动行为。在两个亚临界霍普夫分叉点进行分叉分析。还发现在其临界平衡点附近具有非线性切削力的球头铣削系统在条件上是稳定的。将分析和仿真结果与文献中报道的实验数据进行了比较，并讨论了结果的物理意义。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第2期|4368680.1-4368680.16|共16页
  • 作者

    Jung Jeehyun; Ngo Chinh; Son Dowung; Seok Jongwon;

  • 作者单位

    Chung Ang Univ, Coll Engn, Sch Mech Engn, 84 HeukSeok Ro, Seoul 156756, South Korea;

    Chung Ang Univ, Coll Engn, Sch Mech Engn, 84 HeukSeok Ro, Seoul 156756, South Korea;

    Chung Ang Univ, Coll Engn, Sch Mech Engn, 84 HeukSeok Ro, Seoul 156756, South Korea;

    Chung Ang Univ, Coll Engn, Sch Mech Engn, 84 HeukSeok Ro, Seoul 156756, South Korea;

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