Analytical study of acceleration waves on a nonlinear, externally damped string

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• 作者：Z. Nili Ahmadabadi ; S. E. Khadem
• 刊名：Acta Mechanica
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：226
• 期：12
• 页码：4087-4097
• 全文大小：1,538 KB
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• 作者单位：Z. Nili Ahmadabadi (1)
  S. E. Khadem (2)
  
  1. Department of Mechanical Engineering, 脡cole de technologie sup茅rieure, Universit茅 du Qu茅bec, 1100 Notre-Dame Street West, Montreal, QC, H3C 1K3, Canada
  2. Department of Mechanical Engineering, Tarbiat Modares University, P.O. Box 14115-177, Tehran, Iran
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Continuum Mechanics and Mechanics of Materials
  Structural Mechanics
  Vibration, Dynamical Systems and Control
  Engineering Thermodynamics and Transport Phenomena
  
• 出版者：Springer Wien
• ISSN：1619-6937

文摘

This paper investigates the propagation of acceleration waves on a nonlinear, externally damped string. Using the singular perturbation method, the hyperbolic system of quasilinear partial differential equations of a string is analyzed. Employing this method provides an opportunity to acquire further physical insights into acceleration wave propagation by extracting the interactions between damping and nonlinearity and their effects on the system behavior as the wave propagates along the string. Considerable agreement is observed between the analytical model of this paper and numerical simulations.