{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,4]],"date-time":"2026-04-04T19:04:31Z","timestamp":1775329471306,"version":"3.50.1"},"reference-count":35,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2021,6,15]],"date-time":"2021-06-15T00:00:00Z","timestamp":1623715200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Sichuan Science and Technology Program","award":["2018GZ0285"],"award-info":[{"award-number":["2018GZ0285"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Stability is the prerequisite of a milling operation, and it seriously depends on machining parameters and machine tool dynamics. Considering that the tool information, including the tool clamping length, feeding direction, and spatial position, has significant effects on machine tool dynamics, this paper presents an efficient method to predict the tool information dependent-milling stability. A generalized regression neural network (GRNN) is established to predict the limiting axial cutting depth, where the machining parameters and tool information are taken as input variables. Moreover, an optimization model is proposed based on the machining parameters and tool information to maximize the material removal rate (MRR), where the GRNN model is taken as the stability constraint. A particle swarm optimization (PSO) algorithm is introduced to solve the optimization model and provide an optimal configuration of the machining parameters and tool information. A case study has been developed to train a GRNN model and establish an optimization model of a real machine tool. Then, effects of the tool information on milling stability were discussed, and an origin-symmetric phenomenon was observed as the feeding direction varied. The accuracy of the solved optimal process parameters corresponding to the maximum MRR was validated through a milling test.<\/jats:p>","DOI":"10.3390\/sym13061071","type":"journal-article","created":{"date-parts":[[2021,6,15]],"date-time":"2021-06-15T21:24:29Z","timestamp":1623792269000},"page":"1071","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Chatter Stability Prediction and Process Parameters\u2019 Optimization of Milling Considering Uncertain Tool Information"],"prefix":"10.3390","volume":"13","author":[{"given":"Lijun","family":"Lin","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Chengdu University, Chengdu 610106, China"},{"name":"College of Architecture and Environment, Sichuan University, Chengdu 610065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mingge","family":"He","sequence":"additional","affiliation":[{"name":"Southwest Oil & Gas Field CDB Operating Company, Petro China, Chengdu 610067, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingyuan","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Chengdu University, Chengdu 610106, China"},{"name":"College of Architecture and Environment, Sichuan University, Chengdu 610065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Congying","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,6,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2563","DOI":"10.1007\/s00170-021-06781-5","article-title":"Study the effect of anti-vibration edge length on process stability of milling thin-walled Ti-6Al-4V alloy","volume":"113","author":"Li","year":"2021","journal-title":"Int. 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