Stability lobes in milling including process damping and utilizing Multi-Frequency and Semi-Discretization Methods

Ahmadi, Keivan; Ismail, F.

doi:10.1016/j.ijmachtools.2011.11.007

Cited by 70 publications

(32 citation statements)

References 16 publications

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“…(8). Note that it is a widely accepted concept [14] to define the chip thickness in the direction perpendicular to the actual cutting velocity (given by Eq.…”

Section: Chip Thickness Expressionmentioning

confidence: 99%

“…According to experimental results [3][4][5][6][7][8][9][10], the stability boundaries (or stability lobes) shift towards higher depths of cut at low spindle speeds resulting in a larger stable (or chatter-free) region. In this article, we refer to this phenomenon as low-speed stability improve-ment.…”

Section: Introductionmentioning

confidence: 99%

“…In this article, we refer to this phenomenon as low-speed stability improve-ment. For the experimental data verifying the low-speed stability improvement, the reader is referred to [3][4][5][6][7][8][9][10]. Most mechanical models of metal cutting dedicate the low-speed stability improvement to an additional dissipative force during cutting, which is inversely proportional to the spindle speed.…”

Section: Introductionmentioning

confidence: 99%

“…Most mechanical models of metal cutting dedicate the low-speed stability improvement to an additional dissipative force during cutting, which is inversely proportional to the spindle speed. This additional term is often called as process damping [3][4][5][6][7][8][9][10][11][12][13][14][15]. The process damping is often explained by the contact between the tool's flank face and the wavy surface of the workpiece [3-6, 8-12, 15] or by introducing velocity-dependent cutting force models [4,14].…”

Section: Introductionmentioning

confidence: 99%

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Extension of process damping to milling with low radial immersion

Molnár

Insperger

Bachrathy

et al. 2016

Int J Adv Manuf Technol

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This paper investigates the stabilizing effect of process damping at low cutting speeds for regenerative machine tool vibrations of milling processes. The process damping is induced by a velocity-dependent cutting force model, which takes into account that the actual cutting velocity is different from the nominal one during machine tool vibrations. The chip thickness and the cutting force are calculated according to the direction of the actual cutting velocity. This results in an additional damping term in the governing delaydifferential equation, which is time-periodic for milling and inversely proportional to the cutting speed. In the literature, this term is often assumed to be constant and is considered to improve stability properties at low spindle speeds. In this paper, it is shown that the velocitydependent cutting force model captures the improvement in the low-speed stability only for turning operations and milling with large radial immersion, while it results in a negative process damping term for lowThis work has been supported by theÚNKP-16-3-I. New National Excellence Program of the Ministry of Human Capacities. This work was supported by the Hungarian National Science Foundation under grant OTKA-K105433. The research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP/2007(FP/ -2013

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“…(8). Note that it is a widely accepted concept [14] to define the chip thickness in the direction perpendicular to the actual cutting velocity (given by Eq.…”

Section: Chip Thickness Expressionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Extension of process damping to milling with low radial immersion

Molnár

Insperger

Bachrathy

et al. 2016

Int J Adv Manuf Technol

View full text Add to dashboard Cite

show abstract

“…It is one of the most severe limitations for productivity in milling operations. To improve machining quality and productivity, it is the fundamental base for optimizing the machining process to predict the chatter stability lobes efficiently and accurately [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

An Efficient Approach for Identifying Stable Lobes with Discretization Method

Luo

Zhang

2013

Advances in Mechanical Engineering

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This paper presents a new approach for quick identification of chatter stability lobes with discretization method. Firstly, three different kinds of stability regions are defined: absolute stable region, valid region, and invalid region. Secondly, while identifying the chatter stability lobes, three different regions within the chatter stability lobes are identified with relatively large time intervals. Thirdly, stability boundary within the valid regions is finely calculated to get exact chatter stability lobes. The proposed method only needs to test a small portion of spindle speed and cutting depth set; about 89% computation time is saved compared with full discretization method. It spends only about 10 minutes to get exact chatter stability lobes. Since, based on discretization method, the proposed method can be used for different immersion cutting including low immersion cutting process, the proposed method can be directly implemented in the workshop to promote machining parameters selection efficiency.

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The Framework for Linear Periodic Time‐Delay Systems Based on Semi‐Discretization: Stability Analysis and Control

Shao¹,

Sheng²

2013

Asian Journal of Control

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Stability analysis and control for linear periodic time-delay systems are investigated in this paper. In this framework, a semi-discretization method is used to develop a mapping of the system response in a finite-dimensional state space. With the mapping, the stability region and stability boundary can be identified by comparing the maximum absolute value of its eigenvalues to 1. More importantly, an efficient stability criterion is presented for periodic neutral systems. In addition, minimization of the maximum absolute value of the mapping's eigenvalues leads to optimal control gains. The tracking control problem is also discussed. Two numerical examples are given to illustrate the effectiveness of the proposed method.

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Stability lobes in milling including process damping and utilizing Multi-Frequency and Semi-Discretization Methods

Cited by 70 publications

References 16 publications

Extension of process damping to milling with low radial immersion

Extension of process damping to milling with low radial immersion

An Efficient Approach for Identifying Stable Lobes with Discretization Method

The Framework for Linear Periodic Time‐Delay Systems Based on Semi‐Discretization: Stability Analysis and Control

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