A novel precise integration-based updated numerical integration method for milling stability prediction

Stability lobe diagrams (SLDs) can be employed to determine the stability behavior of a milling process. Hence, SLD recognition is an important issue for an effective stable machining monitoring system. Various methods have been developed for prediction of milling stability. However, the main shortc...

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Published in:	International journal of advanced manufacturing technology Vol. 124; no. 7-8; pp. 2109 - 2126
Main Authors:	Liu, WeiChao, Yang, Wen-An, Chen, YuXin, You, YouPeng
Format:	Journal Article
Language:	English
Published:	London Springer London 01.02.2023 Springer Nature B.V
Subjects:	Accuracy Advanced manufacturing technologies Algorithms CAE) and Design Computer-Aided Engineering (CAD Efficiency Engineering Experimental methods Hermite polynomials Industrial and Production Engineering Interpolation Mechanical Engineering Media Management Milling (machining) Numerical analysis Numerical integration Original Article Research methodology Simulation Stability lobes Submerging Vibration Stability lobe diagrams Precise integration Milling stability prediction Hermite interpolation Updated numerical integration method
ISSN:	0268-3768, 1433-3015
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Abstract	Stability lobe diagrams (SLDs) can be employed to determine the stability behavior of a milling process. Hence, SLD recognition is an important issue for an effective stable machining monitoring system. Various methods have been developed for prediction of milling stability. However, the main shortcoming of such methods is that they cannot accurately and efficiently predict milling stability. This study proposes a novel precise integration-based updated numerical integration method (PI-UNIM) that can be both accurate and efficient in milling stability prediction. The fifth-order Hermite interpolation polynomial for numerical integration formula derivation is addressed in this work. Transition matrix is obtained with the precise integration algorithm. The numerical results obtained using extensive simulation indicate that the proposed method can effectively recognize SLDs for not only low immersion milling situation but also high immersion milling situation. Empirical comparisons show that the proposed method performs better than existing methods in terms of computation accuracy and computation efficiency. A demonstrative example is provided to illustrate the usage of the proposed method.
AbstractList	Stability lobe diagrams (SLDs) can be employed to determine the stability behavior of a milling process. Hence, SLD recognition is an important issue for an effective stable machining monitoring system. Various methods have been developed for prediction of milling stability. However, the main shortcoming of such methods is that they cannot accurately and efficiently predict milling stability. This study proposes a novel precise integration-based updated numerical integration method (PI-UNIM) that can be both accurate and efficient in milling stability prediction. The fifth-order Hermite interpolation polynomial for numerical integration formula derivation is addressed in this work. Transition matrix is obtained with the precise integration algorithm. The numerical results obtained using extensive simulation indicate that the proposed method can effectively recognize SLDs for not only low immersion milling situation but also high immersion milling situation. Empirical comparisons show that the proposed method performs better than existing methods in terms of computation accuracy and computation efficiency. A demonstrative example is provided to illustrate the usage of the proposed method.
Author	Liu, WeiChao You, YouPeng Yang, Wen-An Chen, YuXin
Author_xml	– sequence: 1 givenname: WeiChao surname: Liu fullname: Liu, WeiChao organization: College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics – sequence: 2 givenname: Wen-An surname: Yang fullname: Yang, Wen-An email: dreamflow@nuaa.edu.cn organization: College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics – sequence: 3 givenname: YuXin surname: Chen fullname: Chen, YuXin organization: College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics – sequence: 4 givenname: YouPeng surname: You fullname: You, YouPeng organization: College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics
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Cites_doi	10.1016/j.amc.2015.10.069 10.1177/1077546309341131 10.1115/1.3269061 10.1115/1.1580852 10.1016/j.jsv.2008.03.045 10.1016/j.ijmachtools.2015.09.002 10.1007/s00170-017-1409-4 10.1002/nme.1061 10.1007/s00170-020-06090-3 10.1007/s11071-017-3649-0 10.1016/j.ijmachtools.2010.05.005 10.1016/j.ijmachtools.2010.01.003 10.1115/1.2831201 10.1115/1.1455030 10.1016/j.ymssp.2019.106435 10.1115/1.1556860 10.1115/1.1765139 10.1016/S0007-8506(07)62342-7 10.1007/978-1-4757-4211-4 10.1016/S0007-8506(07)62486-X 10.1016/j.ijmachtools.2013.07.006 10.1115/1.4004136 10.1016/S0007-8506(07)60032-8 10.1115/1.4031617 10.1007/s11071-012-0651-4 10.1177/1077546304044891 10.1115/1.3604637 10.1016/j.ijmachtools.2009.09.009 10.1016/j.ijmachtools.2012.05.001 10.1016/j.jsv.2007.11.040 10.1016/0890-6955(92)90006-3
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Snippet	Stability lobe diagrams (SLDs) can be employed to determine the stability behavior of a milling process. Hence, SLD recognition is an important issue for an...
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SubjectTerms	Accuracy Advanced manufacturing technologies Algorithms CAE) and Design Computer-Aided Engineering (CAD Efficiency Engineering Experimental methods Hermite polynomials Industrial and Production Engineering Interpolation Mechanical Engineering Media Management Milling (machining) Numerical analysis Numerical integration Original Article Research methodology Simulation Stability lobes Submerging Vibration
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Title	A novel precise integration-based updated numerical integration method for milling stability prediction
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