Stability Prediction of Milling Process with Variable Pitch Cutter

Jin, Gang; Zhang, Qichang; Hao, Shuying; Xie, Qizhi

doi:10.1155/2013/932013

Cited by 22 publications

(19 citation statements)

References 20 publications

(40 reference statements)

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“…However, most of them were developed with the aim of constructing stability charts for milling processes, such as the analysis of the milling system with runout [25], with variable pitch/helix cutter [26][27][28][29][30], with variable-spindle speed [31][32][33], or with serrated cutter [34,35]. In order to verify the proposed method, two typical milling operations are chosen and considered.…”

Section: Verification Of Methodsmentioning

confidence: 99%

“…For the variable pitch cutter as shown in Figure 4(b), two methods gain consistent predicting results, except for the high-speed domain at approximately 8500 rpm, where a clear deviation occurred. Reference [27] chose one point ( = 5 mm and Ω = 8500 rpm) in this deviation and showed its stabilization by time-domain simulations. The reason of this phenomenon is as follows.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

See 1 more Smart Citation

A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays

Jin

et al. 2017

Mathematical Problems in Engineering

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Delay differential equations (DDEs) are widely utilized as the mathematical models in engineering fields. In this paper, a method is proposed to analyze the stability characteristics of periodic DDEs with multiple time-periodic delays. Stability charts are produced for two typical examples of time-periodic DDEs about milling chatter, including the variable-spindle speed milling system with one-time-periodic delay and variable pitch cutter milling system with multiple delays. The simulations show that the results gained by the proposed method are in close agreement with those existing in the past literature. This indicates the effectiveness of our method in terms of time-periodic DDEs with multiple time-periodic delays. Moreover, for milling processes, the proposed method further provides a generalized algorithm, which possesses a good capability to predict the stability lobes for milling operations with variable pitch cutter or variable-spindle speed.

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Section: Verification Of Methodsmentioning

confidence: 99%

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays

Jin

et al. 2017

Mathematical Problems in Engineering

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“…Jin et al . used an improved SD algorithm that examines the effect of the tool geometries on the stability trends for variable pitch or variable helix milling.…”

Section: Introductionmentioning

confidence: 99%

“…Dombovari and Stepan [19] introduced a general SDM-based mechanical model to predict the linear stability of special cutters with optional continuous variation of the helix angle and showed that special instability lenses occur and decrease in size in the stability chart. Jin et al [20,21] used an improved SD algorithm that examines the effect of the tool geometries on the stability trends for variable pitch or variable helix milling.…”

Section: Introductionmentioning

confidence: 99%

Stability prediction for milling process with multiple delays using an improved semi‐discretization method

Jin

Cai

et al. 2015

Math Methods in App Sciences

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Communicated by I. StratisMilling chatter leads to a poor surface finish, premature tool wear, and potential damage to the machine or tool. Thus, it is desirable to predict and avoid the onset of this instability. Considering that the stability of milling with variable pitch cutter or tool runout case is characterized by multiple delays, in this paper, an improved semi-discretization method is proposed to predict the stability lobes for milling processes with multiple delays. Taking the variable pitch milling, for example, a comparison with prior methods is conducted to verify the accuracy and efficiency of the proposed approach for the stability prediction both in low and high radial immersion ratios. In addition, the rate of convergence of the proposed method is also evaluated. The results show that the proposed method has high computational efficiency.

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“…The semidiscretization method is not noted for any major shortcoming even though Henninger and Eberhard [33] pointed out avenue for improved computational efficiency and accuracy. The semi-discretization method has also been used in stability analysis of more advanced milling models that include effects like process damping [34][35][36], tools with non-uniform pitch [37][38][39], variable helix end-mills [25,[38][39][40][41], spindle speed variation [42,43], serrated milling tools [44] and tool run-out [45]. The method of temporal finite element analysis was introduced in a study of stability of interrupted cutting by Bayly et al [46].…”

Section: Introductionmentioning

confidence: 99%

Time minimization of pocketing by zigzag passes along stability limit

Ozoegwu

Ezugwu

2015

Int J Adv Manuf Technol

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Pocketing with zigzag toolpath (which maintains near to continuous tool-workpiece contact) that is continuously optimized with limiting pairs of axial and radial depths is investigated in this work. Analysis led to a set of 16 conditional expressions eligible for description of pocketing time. An eligible expression becomes effective when all associated conditions are simultaneously met while the rest of the eligible expressions remain dormant until dimensions of pocket and tool favours another. Similar analysis has been carried out in other works for one-way toolpath which permits idle return passes and thus expected to incur delay. Comparison of zigzag and one-way toolpaths shows that the former always hastens pocketing operation because it better utilizes the stability limit of the system by maintaining continuously optimized to and fro passes. Numerical studies gives that zigzag toolpath can even half pocketing time of one-way toolpath for some choice of limiting process parameters. Similar to the conclusion that has been drawn for one-way toolpath in an earlier work it is seen that utilizing the coordinate of maximum limiting material removal rate (MRR lim ) for both down-and up-milling in a scheme of zigzag pocketing will not necessarily provide the minimum time because of geometrical constraints.

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Stability Prediction of Milling Process with Variable Pitch Cutter

Cited by 22 publications

References 20 publications

A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays

A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays

Stability prediction for milling process with multiple delays using an improved semi‐discretization method

Time minimization of pocketing by zigzag passes along stability limit

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