Resonance oscillations in a mass-spring impact oscillator

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• 作者：J. Newman (1)
  O. Makarenkov (2)
  
  1. Department of Mathematics ; Imperial College London ; 180 Queens Gate ; London聽 ; SW7 2AZ ; UK
  2. Department of Mathematical Sciences ; University of Texas at Dallas ; 800 West Campbell Road ; Richardson ; TX聽 ; 75080 ; USA
  
• 关键词：Asymptotic stability ; Periodic solutions ; Impact oscillator ; Averaging method ; Perturbation approach
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：79
• 期：1
• 页码：111-118
• 全文大小：409 KB
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• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

We investigate the presence of asymptotically stable periodic oscillations in a time-periodic impact oscillator close to an isochronous one. A new averaging method is developed to account for the position of the obstacle and for the impact restitution coefficient, which do not appear in the classical smooth situation.