Stability analysis of milling with variable helix cutter using an updated full-discretization method

2015 ◽  
pp. 2263-2267
Author(s):  
Gang Jin ◽  
Zhanjie Li ◽  
Dong Li ◽  
Hua Li
Keyword(s):  
Stability Analysis ◽  
Discretization Method ◽  
Full Discretization ◽  
Variable Helix

scholarly journals Stability Analysis of Multi-Discrete Delay Milling with Helix Effects Using a General Order Full-Discretization Method Updated with a Generalized Integral Quadrature

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 1003
Author(s):  
Chigbogu Ozoegwu ◽  
Peter Eberhard
Keyword(s):  
Stability Analysis ◽  
High Speed ◽  
High Order ◽  
Discretization Method ◽  
High Order Methods ◽  
Full Discretization ◽  
Low Speed ◽  
Automated Algorithm ◽  
Stability Lobes ◽  
General Order

A tensor-based general order full-discretization method is enhanced with the capacity to handle multiple discrete delays and helix effects leading to a unique automated algorithm in the stability analysis of milling process chatter. The automated algorithm is then exploited in investigating the effects of interpolation order of chatter states and helix-induced terms on the convergence of milling stability lobes. The enhanced capacity to handle the distributed helix effects is based on a general order formulation of the Newton-Coates integral quadrature method. Application to benchmark milling models showed that high order methods are necessary for convergence of the low speed domain of stability lobes while all the numerically stable orders converge in the high speed domain where the ultra-high order methods are prone to numerical instability. Also, composite numerical integration of the helix-induced integrand beyond the usual zero-th order method leads to higher accuracy of stability lobes especially in the low speed domain.

Third-order updated full-discretization method for milling stability prediction

2017 ◽  
Vol 92 (5-8) ◽  
pp. 2299-2309 ◽  
Author(s):  
Zhenghu Yan ◽  
Xibin Wang ◽  
Zhibing Liu ◽  
Dongqian Wang ◽  
Li Jiao ◽  
...  
Keyword(s):  
Discretization Method ◽  
Stability Prediction ◽  
Third Order ◽  
Full Discretization ◽  
Milling Stability

scholarly journals An Efficient Third-Order Full-Discretization Method for Prediction of Regenerative Chatter Stability in Milling

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Chao Huang ◽  
Wen-An Yang ◽  
Xulin Cai ◽  
Weichao Liu ◽  
YouPeng You
Keyword(s):  
Metal Removal ◽  
Removal Rate ◽  
Discretization Method ◽  
Chatter Stability ◽  
Computationally Efficient ◽  
Third Order ◽  
Regenerative Chatter ◽  
Full Discretization ◽  
Milling Operations ◽  
Comparison Results

The prediction of regenerative chatter stability has long been recognized as an important issue of concern in the field of machining community because it limits metal removal rate below the machine’s capacity and hence reduces the productivity of the machine. Various full-discretization methods have been designed for predicting regenerative chatter stability. The main problem of such methods is that they can predict the regenerative chatter stability but do not efficiently determine stability lobe diagrams (SLDs). Using third-order Newton interpolation and third-order Hermite interpolation techniques, this study proposes a straightforward and effective third-order full-discretization method (called NI-HI-3rdFDM) to predict the regenerative chatter stability in milling operations. Experimental results using simulation show that the proposed NI-HI-3rdFDM can not only efficiently predict the regenerative chatter stability but also accurately identify the SLD. The comparison results also indicate that the proposed NI-HI-3rdFDM is very much more accurate than that of other existing methods for predicting the regenerative chatter stability in milling operations. A demonstrative experimental verification is provided to illustrate the usage of the proposed NI-HI-3rdFDM to regenerative chatter stability prediction. The feature of accurate computing makes the proposed NI-HI-3rdFDM more adaptable to a dynamic milling scenario, in which a computationally efficient and accurate chatter stability method is required.

Stability analysis for variable spindle speed milling with helix angle using an improved semi-discretization method

2012 ◽  
Vol 56 (3) ◽  
pp. 648-655 ◽  
Author(s):  
QiZhi Xie ◽  
QiChang Zhang ◽  
Wei Wang ◽  
Gang Jin ◽  
JianXin Han
Keyword(s):  
Stability Analysis ◽  
Helix Angle ◽  
Spindle Speed ◽  
Discretization Method

Accurate and efficient prediction of milling stability with updated full-discretization method

2016 ◽  
Vol 88 (9-12) ◽  
pp. 2357-2368 ◽  
Author(s):  
Xiaowei Tang ◽  
Fangyu Peng ◽  
Rong Yan ◽  
Yanhong Gong ◽  
Yuting Li ◽  
...  
Keyword(s):  
Discretization Method ◽  
Full Discretization ◽  
Milling Stability ◽  
Efficient Prediction
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