Prediction of chatter stability in turning

Petrakov, Yuri; Danylchenko, Mariia; Petryshyn, Andrii

doi:10.15587/1729-4061.2019.177291

Cited by 6 publications

(7 citation statements)

References 6 publications

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“…3). Moreover, when analyzing, the TMS is represented in a generalized form, which allows us to hope for the extension of this criterion to systems with more complex mathematical models, for example, with three degrees of freedom [14].…”

Section: Discussion Of the Frequency Time Approach To Enabling The St...mentioning

confidence: 99%

“…It should be noted that our results require the use of such a priori TMS data as stiffness, the frequency of natural oscillations, and the coefficient of linearized dependence of the cutting force on depth. However, such data can be obtained using procedures set forth in [14].…”

Section: Discussion Of the Frequency Time Approach To Enabling The St...mentioning

confidence: 99%

“…This algorithm was implemented in a special modeling program for TMS, which is represented by a single-mass dynamic system with one degree of freedom. The following parameters were adopted, which were determined experimentally by the method presented in [14]: the natural oscillation frequency is 320 Hz, the stiffness in the direction of the Y axis is 3,500 N/mm, the diameter of the part is 30 mm. The material being machined is Steel45, the coefficient of linearized dependence was determined by formulas known from the theory of cutting.…”

Section: Fig 4 En Larged Algorithm For Calculating a Stability Lobes ...mentioning

confidence: 99%

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A time-frequency approach to ensuring stability of machining by turning

Petrakov

Danylchenko

2022

EEJET

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This paper reports a new approach to ensuring the stability of the turning process, which is based on the frequency-time characteristics of the technological machining system (TMS). The approach uses a mathematical model of the turning process as a single-mass system with one degree of freedom, taking into account negative feedback on the normal coordinate and positive feedback with a delay in cutting depth. A new criterion for the stability of the cutting process as a system with a delay in positive feedback is proposed, based on the analysis of frequency characteristics in the form of a Nyquist diagram. It is proved that such a system will be stable when the chart of its Nyquist diagram does not cover a point with coordinates [+1, 0] on the complex plane. The validity of the new criterion has been confirmed by comparing the simulation results in the time range with the location of the Nyquist diagram on the complex plane. Based on the new criterion of stability, an algorithm for automatic construction of a Stability Lobes Diagram (SLD) has been developed. The necessary a priori parameters of TMS, the ranges of frequency change, and the calculation step for constructing such a characteristic in the coordinates "cutting depth – spindle rotational speed" have been determined. The adequacy of the obtained results is confirmed by a full-scale experiment to assess the roughness of machined parts under cutting modes that fall into the area of stability and instability on the SLD chart. The full-scale experiment proved the possibility of a significant reduction in roughness according to the Rz parameter, from 43 µm to 18 µm, while increasing productivity by 1.28 times. The use of a stability lobes diagram is especially effective when programming CNC lathes where it is possible to select the spindle speed in a wide range.

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Section: Discussion Of the Frequency Time Approach To Enabling The St...mentioning

confidence: 99%

Section: Discussion Of the Frequency Time Approach To Enabling The St...mentioning

confidence: 99%

Section: Fig 4 En Larged Algorithm For Calculating a Stability Lobes ...mentioning

confidence: 99%

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A time-frequency approach to ensuring stability of machining by turning

Petrakov

Danylchenko

2022

EEJET

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“…Two dominant oscillatory systems during the cutting process (Fig. 5) are distinguished by the authors [21,22]. Firstly, it is a "Workpiece-Fixture" system.…”

Section: Analysis Of Recent Research and Publicationsmentioning

confidence: 99%

Archive of Mechanical Engineering

Stupnytskyy,

Xianning,

Novitskyi

et al. 2022

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Titanium alloys are difficult-to-machine materials due to their complex mechanical and thermophysical properties. An essential factor in ensuring the quality of the machined surface is the analysis and recommendation of vibration processes accompanying cutting. The analytical description of these processes for machining titanium alloys is very complicated due to the complex adiabatic shear phenomena and the specific thermodynamic state of the chip-forming zone. Simulation modeling chip formation rheology in Computer-Aided Forming systems is a practical method for studying these phenomena. However, dynamic research of the cutting process using such techniques is limited because the initial state of the workpiece and tool is a priori assumed to be "rigid", and the damping properties of the fixture and machine elements are not taken into account at all. Therefore, combining the results of analytical modeling of the cutting process dynamics with the results of simulation modeling was the basis for the proposed research methodology. Such symbiosis of different techniques will consider both mechanical and thermodynamic aspects of machining (specific dynamics of cutting forces) and actual conditions of stiffness and damping properties of the "Machine-Fixture-Tool-Workpiece" system.

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“…Good results for predicting stability are shown by studies of a system in a closedloop state both in the time and in the frequency domain using numerical analysis methods and focusing on the frequency criteria for the stability of closed-loop systems [8]. When compiling a mathematical model, it is necessary to strive for simplicity of presentation while maintaining maximum adequacy.…”

Section: Introductionmentioning

confidence: 99%

Simulation of an Absorber of Vibration in Turning

Petrakov

Sikailo

2021

Lecture Notes in Mechanical Engineering

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This paper presents an interest in simulating a dynamic absorber of vibration for turning. A mathematical model of a turning machining system is presented in the form of a single-mass model with one degree of freedom in the direction of cutting depth and the effect of elastic displacement on the cutting width. The dynamic absorber of vibration is presented as one mass rigidly connected to the tool and linear damper. The mathematical model of the machining system with a dynamic absorber of vibration considers the closedloop of the cutting process and its delay function. An application soft has been developed for simulating the machining system in time and frequency responses. According to the Nyquist frequency criterion, preconditions are made to assess the machining system's stability with a delay. Simulating allows selecting the dynamic parameters in the design of the absorber of vibration and the vibrationfree mode of cutting.

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Prediction of chatter stability in turning

Cited by 6 publications

References 6 publications

A time-frequency approach to ensuring stability of machining by turning

A time-frequency approach to ensuring stability of machining by turning

Archive of Mechanical Engineering

Simulation of an Absorber of Vibration in Turning

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