A Method for Stability Analysis of Periodic Delay Differential Equations with Multiple Time-Periodic Delays
作者: Gang JinHoujun QiZhanjie LiJianxin HanHua Li
作者单位: 1ianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin 300222, China
2Tianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin 300222, China
3Tianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University o
刊名: Mathematical Problems in Engineering, 2017, Vol.2017
来源数据库: Directory of Open Access Journals
DOI: 10.1155/2017/9490142
原始语种摘要: 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...
全文获取路径: DOAJ  (合作)
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关键词翻译
关键词翻译
  • proposed 建议的
  • variable 变量
  • periodic 周期的
  • system 
  • speed 速率
  • multiple 多次的
  • Analysis 分析
  • method 方法
  • cutter 切悉具
  • widely 广泛地