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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical problems in engineering 2021-02, Vol.2021, p.1-15
Hauptverfasser: Jin, Gang, Jiang, Haotian, Han, Jianxin, Li, Zhanjie, Li, Hua, Yan, Bing
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 15
container_issue
container_start_page 1
container_title Mathematical problems in engineering
container_volume 2021
creator Jin, Gang
Jiang, Haotian
Han, Jianxin
Li, Zhanjie
Li, Hua
Yan, Bing
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.
doi_str_mv 10.1155/2021/6654176
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2491750736</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2491750736</sourcerecordid><originalsourceid>FETCH-LOGICAL-c294t-e282e1f2ddabe8b366589f95d340ecc6b0e037572b2f70a3b9bb615e208cc53b3</originalsourceid><addsrcrecordid>eNp9kMtOwzAURC0EEqWw4wMssYRQP-I8lhWvIhVRqYDYRbZz3bgKSbFTlf4A343bZs1qrkbnjjSD0CUlt5QKMWKE0VGSiJimyREaUJHwSNA4PQ43YXFEGf88RWfeL0kgBc0G6HfeSWVr223xuJH11luPW4NfbF3bZoFnrtXgPd7YrsIf0lmpasDzlW3KvQKUWDYlntlOVyFhEVzdNt6W4Hb_E6jtT-_vuT5vVkkP-N4aAw4aDefoxMjaw0WvQ_T--PB2N4mmr0_Pd-NppFkedxGwjAE1rCylgkzx0DXLTS5KHhPQOlEECE9FyhQzKZFc5UolVAAjmdaCKz5EV4fclWu_1-C7YtmuXSjuCxbnNBUk5Umgbg6Udq33DkyxcvZLum1BSbFbutgtXfRLB_z6gFdhFrmx_9N_Ubd-gQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2491750736</pqid></control><display><type>article</type><title>Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>Wiley Online Library Open Access</source><source>Alma/SFX Local Collection</source><creator>Jin, Gang ; Jiang, Haotian ; Han, Jianxin ; Li, Zhanjie ; Li, Hua ; Yan, Bing</creator><contributor>Jin, Xiaoliang ; Xiaoliang Jin</contributor><creatorcontrib>Jin, Gang ; Jiang, Haotian ; Han, Jianxin ; Li, Zhanjie ; Li, Hua ; Yan, Bing ; Jin, Xiaoliang ; Xiaoliang Jin</creatorcontrib><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.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2021/6654176</identifier><language>eng</language><publisher>New York: Hindawi</publisher><subject>Approximation ; Dynamic models ; Dynamic stability ; Low speed ; Methods ; Phase shift ; Pitch (inclination) ; Stability analysis ; Systems stability ; Time domain analysis</subject><ispartof>Mathematical problems in engineering, 2021-02, Vol.2021, p.1-15</ispartof><rights>Copyright © 2021 Gang Jin et al.</rights><rights>Copyright © 2021 Gang Jin et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c294t-e282e1f2ddabe8b366589f95d340ecc6b0e037572b2f70a3b9bb615e208cc53b3</cites><orcidid>0000-0002-8565-4278</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><contributor>Jin, Xiaoliang</contributor><contributor>Xiaoliang Jin</contributor><creatorcontrib>Jin, Gang</creatorcontrib><creatorcontrib>Jiang, Haotian</creatorcontrib><creatorcontrib>Han, Jianxin</creatorcontrib><creatorcontrib>Li, Zhanjie</creatorcontrib><creatorcontrib>Li, Hua</creatorcontrib><creatorcontrib>Yan, Bing</creatorcontrib><title>Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference</title><title>Mathematical problems in engineering</title><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.</description><subject>Approximation</subject><subject>Dynamic models</subject><subject>Dynamic stability</subject><subject>Low speed</subject><subject>Methods</subject><subject>Phase shift</subject><subject>Pitch (inclination)</subject><subject>Stability analysis</subject><subject>Systems stability</subject><subject>Time domain analysis</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp9kMtOwzAURC0EEqWw4wMssYRQP-I8lhWvIhVRqYDYRbZz3bgKSbFTlf4A343bZs1qrkbnjjSD0CUlt5QKMWKE0VGSiJimyREaUJHwSNA4PQ43YXFEGf88RWfeL0kgBc0G6HfeSWVr223xuJH11luPW4NfbF3bZoFnrtXgPd7YrsIf0lmpasDzlW3KvQKUWDYlntlOVyFhEVzdNt6W4Hb_E6jtT-_vuT5vVkkP-N4aAw4aDefoxMjaw0WvQ_T--PB2N4mmr0_Pd-NppFkedxGwjAE1rCylgkzx0DXLTS5KHhPQOlEECE9FyhQzKZFc5UolVAAjmdaCKz5EV4fclWu_1-C7YtmuXSjuCxbnNBUk5Umgbg6Udq33DkyxcvZLum1BSbFbutgtXfRLB_z6gFdhFrmx_9N_Ubd-gQ</recordid><startdate>20210209</startdate><enddate>20210209</enddate><creator>Jin, Gang</creator><creator>Jiang, Haotian</creator><creator>Han, Jianxin</creator><creator>Li, Zhanjie</creator><creator>Li, Hua</creator><creator>Yan, Bing</creator><general>Hindawi</general><general>Hindawi Limited</general><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0002-8565-4278</orcidid></search><sort><creationdate>20210209</creationdate><title>Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference</title><author>Jin, Gang ; Jiang, Haotian ; Han, Jianxin ; Li, Zhanjie ; Li, Hua ; Yan, Bing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c294t-e282e1f2ddabe8b366589f95d340ecc6b0e037572b2f70a3b9bb615e208cc53b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Approximation</topic><topic>Dynamic models</topic><topic>Dynamic stability</topic><topic>Low speed</topic><topic>Methods</topic><topic>Phase shift</topic><topic>Pitch (inclination)</topic><topic>Stability analysis</topic><topic>Systems stability</topic><topic>Time domain analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jin, Gang</creatorcontrib><creatorcontrib>Jiang, Haotian</creatorcontrib><creatorcontrib>Han, Jianxin</creatorcontrib><creatorcontrib>Li, Zhanjie</creatorcontrib><creatorcontrib>Li, Hua</creatorcontrib><creatorcontrib>Yan, Bing</creatorcontrib><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East &amp; Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jin, Gang</au><au>Jiang, Haotian</au><au>Han, Jianxin</au><au>Li, Zhanjie</au><au>Li, Hua</au><au>Yan, Bing</au><au>Jin, Xiaoliang</au><au>Xiaoliang Jin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2021-02-09</date><risdate>2021</risdate><volume>2021</volume><spage>1</spage><epage>15</epage><pages>1-15</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>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.</abstract><cop>New York</cop><pub>Hindawi</pub><doi>10.1155/2021/6654176</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0002-8565-4278</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1024-123X
ispartof Mathematical problems in engineering, 2021-02, Vol.2021, p.1-15
issn 1024-123X
1563-5147
language eng
recordid cdi_proquest_journals_2491750736
source Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Wiley Online Library Open Access; Alma/SFX Local Collection
subjects Approximation
Dynamic models
Dynamic stability
Low speed
Methods
Phase shift
Pitch (inclination)
Stability analysis
Systems stability
Time domain analysis
title Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-23T15%3A54%3A29IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Stability%20Analysis%20of%20Milling%20Process%20with%20Variable%20Spindle%20Speed%20and%20Pitch%20Angle%20considering%20Helix%20Angle%20and%20Process%20Phase%20Difference&rft.jtitle=Mathematical%20problems%20in%20engineering&rft.au=Jin,%20Gang&rft.date=2021-02-09&rft.volume=2021&rft.spage=1&rft.epage=15&rft.pages=1-15&rft.issn=1024-123X&rft.eissn=1563-5147&rft_id=info:doi/10.1155/2021/6654176&rft_dat=%3Cproquest_cross%3E2491750736%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2491750736&rft_id=info:pmid/&rfr_iscdi=true