A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays
Joint Authors
Jin, Gang
Han, Jianxin
Qi, Houjun
Li, Zhanjie
Li, Hua
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Delay differential equations (DDEs) are widely utilized as the mathematical models in engineering fields.
In this paper, a method is proposed to analyze the stability characteristics of periodic DDEs with multiple time-periodic delays.
Stability charts are produced for two typical examples of time-periodic DDEs about milling chatter, including the variable-spindle speed milling system with one-time-periodic delay and variable pitch cutter milling system with multiple delays.
The simulations show that the results gained by the proposed method are in close agreement with those existing in the past literature.
This indicates the effectiveness of our method in terms of time-periodic DDEs with multiple time-periodic delays.
Moreover, for milling processes, the proposed method further provides a generalized algorithm, which possesses a good capability to predict the stability lobes for milling operations with variable pitch cutter or variable-spindle speed.
American Psychological Association (APA)
Jin, Gang& Qi, Houjun& Li, Zhanjie& Han, Jianxin& Li, Hua. 2017. A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1192718
Modern Language Association (MLA)
Jin, Gang…[et al.]. A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1192718
American Medical Association (AMA)
Jin, Gang& Qi, Houjun& Li, Zhanjie& Han, Jianxin& Li, Hua. A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1192718
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192718