Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference

Suppression of milling chatter by disrupting regenerative effect is a well-known method to obtain higher cutting stability domain. In this paper, a dynamic model of the milling process with variable spindle speed and pitch angle considering helix angle and process phase difference is presented. Then...

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Main Authors: Gang Jin, Haotian Jiang, Jianxin Han, Zhanjie Li, Hua Li, Bing Yan
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/6654176
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spelling doaj-9a03b7b1494e4cc7ae9e27dd3c5c5b892021-02-22T00:00:09ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/6654176Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase DifferenceGang Jin0Haotian Jiang1Jianxin Han2Zhanjie Li3Hua Li4Bing Yan5Tianjin Key Laboratory of High Speed Cutting and Precision MachiningTianjin Key Laboratory of High Speed Cutting and Precision MachiningTianjin Key Laboratory of High Speed Cutting and Precision MachiningTianjin Key Laboratory of High Speed Cutting and Precision MachiningTianjin Jinhang Institute of Technical PhysicalTianjin Key Laboratory of High Speed Cutting and Precision MachiningSuppression of milling chatter by disrupting regenerative effect is a well-known method to obtain higher cutting stability domain. In this paper, a dynamic model of the milling process with variable spindle speed and pitch angle considering helix angle and process phase difference is presented. Then, an updated semidiscretization method is applied to obtain the stability chart. After the effectiveness of the proposed method is confirmed by comparisons with the previously published works and the time-domain simulations, lots of analyses are conducted to deeply evaluate the influence of the helix angle, the process phase difference, and feed per tooth on milling stability. Results show that the change of helix angle can result in significant stability discrepancies for both high-speed and low-speed regions. Though the process phase difference has the randomness and immeasurability in the practical application, it has an important influence on the stability and will result in a periodic evolution of the stability with a period π. Also, its recommended values are given for the practical milling process.http://dx.doi.org/10.1155/2021/6654176
collection DOAJ
language English
format Article
sources DOAJ
author Gang Jin
Haotian Jiang
Jianxin Han
Zhanjie Li
Hua Li
Bing Yan
spellingShingle Gang Jin
Haotian Jiang
Jianxin Han
Zhanjie Li
Hua Li
Bing Yan
Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference
Mathematical Problems in Engineering
author_facet Gang Jin
Haotian Jiang
Jianxin Han
Zhanjie Li
Hua Li
Bing Yan
author_sort Gang Jin
title Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference
title_short Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference
title_full Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference
title_fullStr Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference
title_full_unstemmed Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference
title_sort stability analysis of milling process with variable spindle speed and pitch angle considering helix angle and process phase difference
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description Suppression of milling chatter by disrupting regenerative effect is a well-known method to obtain higher cutting stability domain. In this paper, a dynamic model of the milling process with variable spindle speed and pitch angle considering helix angle and process phase difference is presented. Then, an updated semidiscretization method is applied to obtain the stability chart. After the effectiveness of the proposed method is confirmed by comparisons with the previously published works and the time-domain simulations, lots of analyses are conducted to deeply evaluate the influence of the helix angle, the process phase difference, and feed per tooth on milling stability. Results show that the change of helix angle can result in significant stability discrepancies for both high-speed and low-speed regions. Though the process phase difference has the randomness and immeasurability in the practical application, it has an important influence on the stability and will result in a periodic evolution of the stability with a period π. Also, its recommended values are given for the practical milling process.
url http://dx.doi.org/10.1155/2021/6654176
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