Composite cutter bar with high dynamic stiffness and damping can be used to suppress chatter in high speed milling process. However, for a rotating composite cutter bar, a new region of instability occurs at the high-speed range because of such factors as the internal damping of the composite cutter bar and gyroscopic effect. This paper proposes a dynamic model of high speed milling system with composite cutter bar in fixed and rotating coordinate frame. Based on the viscoelastic constitutive relation of composite material, the damping model is established by using the energy approach. The dynamic equations of the milling system are established according to Hamilton principle. The natural frequency and decay rate of composite cutter bar are studied by the proposed theory. The stability results are obtained by using the semi-discretization method and verified by the time domain response curves. The influences of gyroscopic effect, internal damping, ply angle and aspect ratio are examined. It is shown that gyroscopic effect has a significant effect on stability lobe diagrams at the high speed range. A new unstable region appears at the high speed range when the internal damping of the composite cutter bar is included.

具有高动态刚度和阻尼的复合刀杆可用于抑制高速铣削过程中的颤振。然而，对于旋转复合刀杆，由于复合刀杆内部阻尼和陀螺效应等因素，在高速范围内出现了新的不稳定区域。本文提出了固定和旋转坐标系下复合刀杆高速铣削系统的动力学模型。基于复合材料的粘弹性本构关系，采用能量法建立阻尼模型。根据哈密顿原理建立了铣削系统的动力学方程。利用所提出的理论研究了复合材料刀杆的固有频率和衰减率。采用半离散化方法得到了稳定性结果，并通过时域响应曲线进行了验证。研究了陀螺效应、内部阻尼、铺层角度和纵横比的影响。结果表明，陀螺效应对高速范围内的稳定性波瓣图有显着影响。当包含复合刀杆的内部阻尼时，在高速范围内会出现一个新的不稳定区域。