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Stability Analysis Method for Periodic Delay Differential Equations with Multiple Distributed and Time-Varying Delays
المؤلفون المشاركون
Jin, Gang
Han, Jianxin
Qi, Houjun
Li, Zhanjie
Li, Hua
Zhang, Xinyu
Zhang, Kaifei
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-9، 9ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-07-25
دولة النشر
مصر
عدد الصفحات
9
التخصصات الرئيسية
الملخص EN
Dynamic stability problems leading to delay differential equations (DDEs) are found in many different fields of science and engineering.
In this paper, a method for stability analysis of periodic DDEs with multiple distributed and time-varying delays is proposed, based on the well-known semidiscretization method.
In order to verify the correctness of the proposed method, two typical application examples, i.e., milling process with a variable helix cutter and milling process with variable spindle speed, which can be, respectively, described by DDEs with the multidistributed and time-varying delays are considered.
Then, comparisons with prior methods for stability prediction are made to verify the accuracy and efficiency of the proposed approach.
As far as the milling process is concerned, the proposed method supplies a generalized algorithm to analyze the stability of the single milling systems associated with variable pith cutter, variable helix cutter, or variable spindle speed; it also can be utilized to analyze the combined systems of the aforementioned cases.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Jin, Gang& Zhang, Xinyu& Zhang, Kaifei& Li, Hua& Li, Zhanjie& Han, Jianxin…[et al.]. 2020. Stability Analysis Method for Periodic Delay Differential Equations with Multiple Distributed and Time-Varying Delays. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1193646
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Jin, Gang…[et al.]. Stability Analysis Method for Periodic Delay Differential Equations with Multiple Distributed and Time-Varying Delays. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1193646
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Jin, Gang& Zhang, Xinyu& Zhang, Kaifei& Li, Hua& Li, Zhanjie& Han, Jianxin…[et al.]. Stability Analysis Method for Periodic Delay Differential Equations with Multiple Distributed and Time-Varying Delays. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1193646
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1193646
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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