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Stability Analysis for Milling Process with Variable Pitch and Variable Helix Tools by High-Order Full-Discretization Methods
Joint Authors
Zhang, Yang
Liu, Kenan
Zhao, Wuyun
Zhang, Wei
Dai, Fei
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Chatter is one of the significant limitations in the milling process, which may cause poor surface quality, reduced productivity, and accelerated tool wear.
Variable pitch and variable helix tools can be used to suppress regenerative chatter.
This study extends the high-order full-discretization methods (FDMs) to predict the stability of milling with variable pitch and variable helix tools.
The time-periodic delay-differential equation (DDE) with multiple delays is used to model the milling process using variable pitch and variable helix tools.
Then, the DDE with multiple delays is reexpressed by the state-space equation.
Meanwhile, the spindle rotational period is divided into many small-time intervals, and the state space equation is integrated on the small-time interval.
Then, the high-order interpolation polynomials are used to approximate the state term, and the weights related to the time delay are employed to approximate the time-delay term.
The second-order, third-order, and fourth-order extended FDMs (2nd EFDM, 3rd EFDM, and 4th EFDM) are compared with the benchmark in terms of the rate of convergence.
It is found that the 2nd EFDM, 3rd EFDM, and 4th EFDM converge faster than the benchmark method.
The difference between the curves obtained by different EFDMs and the reference curve is very small.
There is no need to extend hypersecond FDMs to analyze the stability of milling with variable pitch and variable helix tools.
American Psychological Association (APA)
Zhang, Yang& Liu, Kenan& Zhao, Wuyun& Zhang, Wei& Dai, Fei. 2020. Stability Analysis for Milling Process with Variable Pitch and Variable Helix Tools by High-Order Full-Discretization Methods. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1195219
Modern Language Association (MLA)
Zhang, Yang…[et al.]. Stability Analysis for Milling Process with Variable Pitch and Variable Helix Tools by High-Order Full-Discretization Methods. Mathematical Problems in Engineering No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1195219
American Medical Association (AMA)
Zhang, Yang& Liu, Kenan& Zhao, Wuyun& Zhang, Wei& Dai, Fei. Stability Analysis for Milling Process with Variable Pitch and Variable Helix Tools by High-Order Full-Discretization Methods. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1195219
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195219