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Duffing单边碰撞系统的颤振分岔
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O571.426[理学—粒子物理与原子核物理;理学—物理] TH133.3[机械工程—机械制造及自动化]
  • 作者机构：[1]西北工业大学理学院应用数学系,西安710072, [2]西安工程大学理学院,西安170048
  • 相关基金：国家自然科学基金（批准号：10872165）资助的课题.
作者： 冯进钤[1,2], 徐伟[1], 牛玉俊[1]
关键词： During碰撞系统, 彗尾映射, 颤振分岔, Dulling vibro-impact system, tail mapping, chattering bifurcation
中文摘要：

针对碰撞系统中常见的颤振导致的彗尾碰撞问题，引入了彗尾映射的概念，提出了一种有效的研究碰撞系统中颤振现象的数值方法．并以典型的Duffing单边碰撞系统为例，研究了系统中的完全颤振和不完全颤振现象，同时分析了系统的颤振分岔．

英文摘要：

A tail-mapping is introduced to deal with the tail impacts caused by the chattering, and based on which, an effective numerical method is suggested to simulate the chattering in the vibro-impact system. As an illustrative example, a Duffing unilateral vibro-impact system is investigated. The results show the evidence of complete and incomplete chattering. We also investigate two novel chattering bifurcations, including transitions from complete to incomplete chattering and incomplete chattering period to aperiodic motion.

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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 被引量:49876