“…Similarly for different rotational speed of workpiece, the limit of intended chip thickness for stable cut has been determined and compared with the results presented in Marsh and Schaut. 27 According to Figure 5, the stability limit obtained by current model is in good agreement with the experimental results presented by Marsh and Schaut. Figure 5.Computational and experimentally measured stability limit.Figure 6.v-t diagrams for (a) stable ( h 0 =60 µm) and (b) unstable ( h 0 =90 µm) cuts.…”
Section: Simulations Results and Discussionsupporting
Chatter phenomenon is one of the essential problems in metal machining processes. It causes cutting tool wear and increase of production costs. Chatter vibration is an unstable self-excited vibration that the regenerative chatter is its most common type. In this paper, regenerative chatter in turning process is investigated. A three-dimensional nonlinear dynamic model of the turning process including both structural and cutting force nonlinearities and gyroscopic effects is presented. The workpiece is modeled as a rotating clamped–free beam which is excited by cutting forces. Using the method of multiple-scales, analytical approximate response of the system is obtained. To validate the model its responses are compared with the experimental results. Using this model the influences of tool longitudinal position, workpiece diameter, depth of cut, and rotational speed of workpiece on the stability results are studied. Using these results, turning velocity intervals for stable and unstable cuts are determined.
“…Similarly for different rotational speed of workpiece, the limit of intended chip thickness for stable cut has been determined and compared with the results presented in Marsh and Schaut. 27 According to Figure 5, the stability limit obtained by current model is in good agreement with the experimental results presented by Marsh and Schaut. Figure 5.Computational and experimentally measured stability limit.Figure 6.v-t diagrams for (a) stable ( h 0 =60 µm) and (b) unstable ( h 0 =90 µm) cuts.…”
Section: Simulations Results and Discussionsupporting
Chatter phenomenon is one of the essential problems in metal machining processes. It causes cutting tool wear and increase of production costs. Chatter vibration is an unstable self-excited vibration that the regenerative chatter is its most common type. In this paper, regenerative chatter in turning process is investigated. A three-dimensional nonlinear dynamic model of the turning process including both structural and cutting force nonlinearities and gyroscopic effects is presented. The workpiece is modeled as a rotating clamped–free beam which is excited by cutting forces. Using the method of multiple-scales, analytical approximate response of the system is obtained. To validate the model its responses are compared with the experimental results. Using this model the influences of tool longitudinal position, workpiece diameter, depth of cut, and rotational speed of workpiece on the stability results are studied. Using these results, turning velocity intervals for stable and unstable cuts are determined.
“…Figure 5 shows experimental measured stability limit from Ref. [23] and computational results from presented model in this paper. According to this figure, the prediction of the stability limit by the current model is in good agreement with the experimental results reported by Marsh and Schaut [23].…”
Section: Validation Of the Modelmentioning
confidence: 96%
“…To validate the model presented in this paper its predictions of the responses are compared with the experimental results reported by Marsh and Schaut [23]. In this reference, the stability of outer diameter turning has been explored for turning of 6061-T aluminum with single crystal, synthetic diamond tools.…”
“…Eric et al studied the waviness on the machined surface of flycutting by a single-degree-of-freedom system; the results showed that the preferred spindle speed in ultra-precision flycutting should be chosen such that the dominant structural resonance did not occur at an integer multiple of the spindle speed. 14,15 Abouelatta and Madl 16 used a regression method to find a correlation between surface roughness and cutting vibrations in turning. Wang et al 17 investigated the tool-tip vibration and its influence upon surface generation in single-point diamond turning and proposed a geometric model of surface roughness to take account of machine tool vibration.…”
Relative vibration between the cutting tool and the workpiece plays an important role in the surface generation in ultraprecision diamond machining. High-frequency vibration of the cutting tool has important influence on the surface roughness error, while the low-frequency vibration of machine tool structure affects the figure error. The previous related researches mainly focus on the first-mode frequency vibration of the machine tool. However, its multimode frequency vibration is rarely discussed. In this article, the multimode frequency vibration of the machine tool and its influences on the surface generation in flycutting are studied. The experimental results have been found to agree well with the simulation results.
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