Machining of slender workpieces subjected to time-periodic axial force: stability and chatter suppression

Béri, Bence; Meszaros, Gergely; Stépàn, Gábor

doi:10.1016/j.jsv.2021.116114

Cited by 14 publications

(6 citation statements)

References 44 publications

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“…that is time-periodic due to the regenerative axial cutting force component F a (t) (see similarly in Beri et al (2021)). In the expression ( 21), ζ = c x /(2ω n m) stands for the damping ratio that also varies with respect to ω n .…”

Section: Stability Chartsmentioning

confidence: 99%

“…The substitution of x ( t ) = x p ( t ) + ξ ( t ) into equation (16) gives rise to the variational system that can be written in the formwhere x(t)=col[ξ(t) trueξ˙(t)] is the vector of states. The τ -periodic coefficient matrices of the linear part of (20) readandwith the natural angular frequencythat is time-periodic due to the regenerative axial cutting force component F a ( t ) (see similarly in Beri et al (2021)). In the expression (21), ζ = c x /(2 ω n m ) stands for the damping ratio that also varies with respect to ω n .…”

Section: Stability Chartsmentioning

confidence: 99%

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Effect of axial force on the stability of milling: Local bifurcations around stable islands

Béri

Stépàn

2021

Journal of Vibration and Control

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In this paper, the stability properties of milling processes are presented when the axial component of the cutting force is also taken into account as a compressive force acting on the cutting tool. The mechanism of the material removal operation is described by a one degree-of-freedom oscillator subjected to the so-called surface regeneration effect. This can be represented mathematically by a nonlinear, time-periodic, delay differential equation. The regenerative compression affects the natural frequency of the system, which is modelled through the lateral stiffness variation of the bearing support of the main spindle. This extension of the general milling model leads to the birth of stable islands within the originally unstable parameter domain. Since the exploitation of these regions may open new ways in practice for increasing the efficiency of machining, the domain of attraction is investigated qualitatively near the stability boundaries of the stable island by means of a semi-analytical method.

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Section: Stability Chartsmentioning

confidence: 99%

Section: Stability Chartsmentioning

confidence: 99%

Effect of axial force on the stability of milling: Local bifurcations around stable islands

Béri

Stépàn

2021

Journal of Vibration and Control

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“…This dramatically affects the dynamic response, especially for the resonant vibration response during machining process. Beri B et al [12] constructed a one degreeof-freedom mechanical model considering the varying modal stiffness of the workpiece and improved the stability properties of turning a slender workpiece by applicating a compressive force at the tailstock. Research has been conducted to evaluate the dynamic responses of the beam model with different boundary conditions under moving loads [13].…”

Section: Introductionmentioning

confidence: 99%

Characterizing the Vibration Responses of Flexible Workpieces during the Turning Process for Quality Control

Li,

Zou,

Duan

et al. 2023

Applied Sciences

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The chatter that occurs during the turning operation, especially when cutting a slender and flexible shaft, determines the surface quality of the workpiece and the stability of the machining system. However, when building a dynamic model of a slender workpiece with a chuck and tailstock, it is generally regarded as a cantilever or simply supported beam, without consideration of the axial force and supported stiffness effect. In this work, a dynamic model for thin and flexible workpieces with different clamping boundary conditions was first built. Then, a finite element analysis (FEA) was used to study the influence of the axial force and supporting stiffness on the mode frequencies of the workpiece. A further analysis found that the relationship between support stiffness, axial force, and the dynamic response of the workpiece is nonlinear and far more complex than that of the simply supported beam model. The clamping force directly influenced the magnitude of the vibration response with the decrease of shaft stiffness during the turning process. These results were verified experimentally by measuring the vibrational response of slender shafts with different clamping modes using an on-rotor sensing (ORS) system. It proved that the proposed model shows advantages for the identification of dynamic vibration and quality control when machining slender workpieces.

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“…In practice, this is usually addressed either by reducing the dynamic compliance of the workpiece by additional reinforcement [12], damping with active or passive dampers, or by appropriate intervention in the force action of the process -either by disrupting the regenerative principle or by reducing the magnitude of the force response. In case of disturbance of the regenerative principle, either the use of gaps between lobes in high-speed machining (especially in milling [24]), speed variation in low-speed machining [16,20,2] or one of the newer methods such as regenerative compensation by active control [23], machining with ultrasonic vibration [33] or the method of time-varying longitudinal workpiece stiffness due to external force [6] .…”

Section: Introductionmentioning

confidence: 99%

Model of Force Interaction for Stability Prediction in Turning of Thin-Walled Cylindrical Workpiece

Falta

Sulitka²,

Janota³

et al. 2022

Preprint

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Turning of the thin-walled cylindrical workpiece is technologically highly demanding process due to the high flexibility of the workpiece . In this paper, a mathematical treatment of integral-based model of the cutting force which takes into account feed, cutting speed, depth of cut and tool nose radius leading to a model of tool- workpiece interaction is presented. The force interaction together with the compliant workpiece dynamics leads to a machining stability formulation. The effect of the aforementioned parameters on characteristic exponents is calculated and validated by comparison with experimentally identified exponents. One of the outputs with immediate practical value is identification of the process damping, which is in the studied case shown to be significantly higher than structural damping of the workpiece itself. This means that without loss of reliability in stability prediction the experimental modal analysis of a given workpiece may be omitted and workpiece ' dynamics may be described only by mass and stiffness matrices which can be easily and reliably obtained by a finite element analysis.

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Machining of slender workpieces subjected to time-periodic axial force: stability and chatter suppression

Cited by 14 publications

References 44 publications

Effect of axial force on the stability of milling: Local bifurcations around stable islands

Effect of axial force on the stability of milling: Local bifurcations around stable islands

Characterizing the Vibration Responses of Flexible Workpieces during the Turning Process for Quality Control

Model of Force Interaction for Stability Prediction in Turning of Thin-Walled Cylindrical Workpiece

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