Robust regenerative chatter stability in machine tools

Park, S. S.; Qin, Yi

doi:10.1007/s00170-006-0778-x

Cited by 27 publications

(14 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…[30], the SLD can suffer some variations due to nonlinear behavior on bearings, centrifugal forces, and gyroscopic effects during normal working speeds. Therefore, some points found as chatter-free within the chatter zone may be due to such effects.…”

Section: Experimental End Millingmentioning

confidence: 99%

A Contribution to Improve the Accuracy of Chatter Prediction in Machine Tools Using the Stability Lobe Diagram

Santos

Coelho

2014

Journal of Manufacturing Science and Engineering

View full text Add to dashboard Cite

The chatter phenomenon can severely limit the power available for milling. The stability lobe diagram (SLD) is a very fast and simple method to predict the chatter free zone, allowing the selection of the most adequate spindle speed and depth of cut for higher productivity. However, the data used to calculate the SLD, coming from frequency response functions (FRFs), must be acquired adequately to improve the predictability. FRFs result differently depending on the activation of the spindle electronic control. The present work uses SLDs to investigate these differences and experimental end milling tests to assess the accuracy of SLDs curves. Results indicate that the inclusion of spindle electronic control provides better accuracy in predicting the chatter in milling.

show abstract

Section: Experimental End Millingmentioning

confidence: 99%

A Contribution to Improve the Accuracy of Chatter Prediction in Machine Tools Using the Stability Lobe Diagram

Santos

Coelho

2014

Journal of Manufacturing Science and Engineering

View full text Add to dashboard Cite

show abstract

“…. , N , the Edge Theorem combined with the Zero Exclusion method can be applied after determining the vertices corresponding to the limit values of p i [23,9,8].…”

mentioning

confidence: 99%

Robust stability analysis of machining operations

Hajdu

Insperger

Stépàn

2016

Int J Adv Manuf Technol

View full text Add to dashboard Cite

Prediction of machine tool chatter requires the characterization of dynamic of the machine-toolworkpiece system by means of frequency response functions (FRFs). Uncertainties of the measured FRFs result in uncertainties of the calculated stability diagrams, therefore robustness of stability prediction against parameter perturbations is of high importance. Although there exist methods to determine robust stability in terms of stability radii, these methods either give a conservative estimate of the real uncertainties or are limited to perturbations of a few modal parameters, only. In this paper, a frequency-domain approach is presented to determine robust stability boundaries using the measured FRFs directly without any modal parameter identification. The method is based on an envelope fitting around the measured FRFs combined with some considerations of the single-frequency method. The application of the method is demonstrated in case of a turning operation, where the machine tool structure is characterized by a series of FRF measurements.

show abstract

“…Instead, numerical methods with a specific sample of uncertain parameters have been used [5,6]. Park and Qin [7] have used the edge theorem combined with the zero exclusion method in robust stability analysis. This guarantees that stability transition does not exist in a polytope within a parameter space spanned by the boundary values of uncertain parameters.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, it is necessary to use very efficient numerical methods for the stability analysis (e.g., as in Refs. [5,8]) and to select only a few representative sample points from the set of uncertain parameters [5,7].…”

Section: Introductionmentioning

confidence: 99%

Chatter prediction for uncertain parameters

et al. 2018

View full text Add to dashboard Cite

The occurrence of chatter in milling processes was investigated in this study. The prediction of the stability lobes of metal cutting processes requires a model of the cutting force and a model of the dynamic machine tool behavior. Parameter uncertainties in the models may lead to significant differences between the predicted and measured stability behavior. One approach towards robust stability consists of running a large number of simulations with a random sample of uncertain parameters and determining the confidence levels for the chatter vibrations, which is a time-consuming task. In this paper, an efficient implementation of the multi frequency solution and the construction of an approximate solution is presented. The approximate solution requires the explicit calculation of the multi frequency solution only at a few parameter points, and the approximation error can be kept small. This study found that the calculation of the robust stability lobe diagram, which is based on the approximate solution, is significantly more efficient than an explicit calculation at all random parameter points. The numerically determined robust stability diagrams were in good agreement with the experimentally determined stability lobes.

show abstract

Robust regenerative chatter stability in machine tools

Cited by 27 publications

References 10 publications

A Contribution to Improve the Accuracy of Chatter Prediction in Machine Tools Using the Stability Lobe Diagram

A Contribution to Improve the Accuracy of Chatter Prediction in Machine Tools Using the Stability Lobe Diagram

Robust stability analysis of machining operations

Chatter prediction for uncertain parameters

Contact Info

Product

Resources

About