Machine tool vibration research

Tobias, S. A.

doi:10.1016/0020-7357(61)90040-3

Cited by 257 publications

(311 citation statements)

References 3 publications

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“…As illustrated in Fig. 7(b), the chatter chart has 5 and 3.5 frequency lobes in the spindle speed interval [8,10] krpm and [11,12] krpm in milling process without cutter run-out.Whereas, when the chatter chart has 10.5 and 6.5 frequency lobeswith run-out. Figure 7(c) shows the critical characteristic values of five unstable machining points and their positions on the unit circle.…”

Section: Example Ii: Experiments Verificationmentioning

confidence: 99%

“…When the cutter run-out exists or the pitch angle of the cutter is non-uniform, the chatter vibration is induced by multiple, not single, regenerative effect. The first accurate model of self-excited chatter vibrations was presented by Tlusty and Polacek [10] and Tobias [11]. They found that the main source of chatter vibration is self-excited or regenerative effect.…”

Section: Introductionmentioning

confidence: 99%

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Prediction of stability limit for multi-regenerative chatter in high performance milling

Guo

Sun

Jiang

et al. 2014

Int. J. Dynam. Control

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Chatter is one of the most important factors that inhibit the improvement of productivity and deteriorate the machined surface quality in milling process. In order to obtain good surface quality, classical machining process usually has to take conservative milling parameters. Based on the authors' previous work, this paper presented a new thirdorder discretization method to compute the stability lobes considering multi-regenerative chatter effect. A mathematical model, which is suitable for the dynamic system with non-uniform pitch cutter or cutter run-out, is first established for multi-regenerative chatter. Then, three examples are performed to test the validity of the proposed method. The first example is for the case that the system takes a non-uniform pitch cutter. In the second example, after the modal parameters, run-out parameters and cutting force parameters are gained from experiments, the stability lobes are predicted using the proposed method and subsequently testified by a series of experiments. The third example is for the case of existing cutter run-out. The final computation and experiment results indicate the effectiveness and validity of the proposed method. It is applicable in high performance machining for achieving a good parameter combination.

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Section: Example Ii: Experiments Verificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Prediction of stability limit for multi-regenerative chatter in high performance milling

Guo

Sun

Jiang

et al. 2014

Int. J. Dynam. Control

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“…Since the pioneering work of Tobias [1] and Tlusty [2] in the 1950s and 1960s, the so-called regenerative effect has become the most commonly accepted explanation for machine tool chatter. The vibrations of the tool are copied onto the surface of the workpiece, which modifies the chip thickness and induces variation in the cutting-force one revolution later.…”

Section: Introductionmentioning

confidence: 99%

Operational stability prediction in milling based on impact tests

Kiss

Hajdu

Bachrathy

et al. 2018

Mechanical Systems and Signal Processing

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Chatter detection is usually based on the analysis of measured signals captured during cutting processes. These techniques, however, often give ambiguous results close to the stability boundaries, which is a major limitation in industrial applications. In this paper, an experimental chatter detection method is proposed based on the system's response for perturbations during the machining process, and no system parameter identification is required. The proposed method identifies the dominant characteristic multiplier of the periodic dynamical system that models the milling process. The variation of the modulus of the largest characteristic multiplier can also be monitored, the stability boundary can precisely be extrapolated, while the manufacturing parameters are still kept in the chatter-free region. The method is derived in details, and also verified experimentally in laboratory environment.

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“…Over the last hundred years, research on this problem have produced many analytical theories. Among these theories, regenerative chatter and mode coupling were identified as the principle theories by Tobias [1] and Tlusty [2]. Merritt [3] presented an elegant stability theory for orthogonal turning using system theory terminology.…”

Section: Introductionmentioning

confidence: 99%

Experimental Investigation of Evolution Process of Nonlinear Characteristics from Chatter Free to Chatter

Kong¹,

Liu²,

Wang³

2011

JMP

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The vibration acceleration time history of the cutter holder was separated into three parts; namely, chatter free, transition and chatter processes. The reconstructed attractor and probability distribution of vibration acceleration time series were studied in order to observe the system's behavior. The Lyapunov exponent andKolmogorov entropy were used to help judge the cutting state. Meanwhile, the relation curves of the Lyapunov exponent and entropy versus machining parameters were plotted and discussed. The research shows that Lyapunov exponent and Kolmogorov entropy are toned up when vibration acceleration time history goes from chatter free, transition to chatter. When cutting state transited from chatter free to chatter, the Lyapunov exponent and Kolmogorov entropy increase with increasing amplitude. In addition, the relation curves looks like stability lobes. The experimental study allow us to select optimal machining parameters for decreasing the uncertainty of cutting vibration.

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Machine tool vibration research

Cited by 257 publications

References 3 publications

Prediction of stability limit for multi-regenerative chatter in high performance milling

Prediction of stability limit for multi-regenerative chatter in high performance milling

Operational stability prediction in milling based on impact tests

Experimental Investigation of Evolution Process of Nonlinear Characteristics from Chatter Free to Chatter

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