Abstract. Turning is a widely used metal cutting operation. Because of the dynamic interaction between the cutter and the workpiece, vibration is excited during turning operations. If the vibration is severe, there will be degradation of surface quality of the workpiece, excessive wear and breakage of the cutter. Chatter can also take place. This paper presents a dynamic model for aggressive turning operations and considers the influence on vibration of the time-dependent reduction of workpiece diameter. The workpiece is modelled as a beam rotating about its longitudinal axis and the cutter provides a moving load. Simulated numerical examples are presented.
IntroductionThe dynamic model of a rotating beam subjected to different loads has long been studied. Nevertheless, vibration remains a major problem in turning. Lee et al [1] and Katz et al [2] studied vibration of a rotating shaft as a beam based on Euler, Rayleigh, and Timoshenko beam theories under a transverse load moving at constant speed. Huang and his co-workers [3][4] investigated the response of the rotating cylindrical shell and spinning orthotropic beams subjected to harmonic moving loads. Argento and Scott [5] examined a rotating Timoshenko beam excited by a distributed surface force traveling with acceleration. Vibration of a rotating Timoshenko with general boundary conditions subjected to a moving load was investigated by Zu and Han [6]. Sinha [7] studied parametric stability of a rotor-disk system under a nonmoving dynamic axial load. Lee [8] introduced the axial force that was constant and nonmoving and found it had a significant effect on the magnitude of the dynamic response. Zibdeh and Juma [9] considered the moving load as a random force. El-Saeidy [10] analyzed boundary conditions of nonlinear stiffness due to clearance in rolling. He included bending moments in moving load and used the finite element method to study the rotating members subjected to moving load. Sheu and Yang [11] researched the dynamic response of a spinning Rayleigh beam with mass eccentricity but without moving load. Dassanayake and Suh [12] investigated a 3D model as a system of three rotors to simulate workpiece-tool deflections in response to a nonlinear regenerative force with a method of rotor dynamics. He studied different stages of stability for the workpiece and the tool. Ouyang and Wang [13] recently developed a dynamic model for the vibration of a rotating Rayleigh beam subjected to a three-directional load moving in the axial direction. They found that the