A boundary modulation formulation for cable's non-planar coupled dynamics under out-of-plane support motion

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• 作者：Tieding Guo ; Houjun Kang ; Lianhua Wang ; Yueyu Zhao
• 关键词：Cable–support interaction ; Boundary modulation formulation ; Non ; planar coupled dynamics ; Multiple ; scale method
• 刊名：Archive of Applied Mechanics (Ingenieur Archiv)
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：86
• 期：4
• 页码：729-741
• 全文大小：1,064 KB
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• 作者单位：Tieding Guo (1)
  Houjun Kang (1)
  Lianhua Wang (1)
  Yueyu Zhao (1)
  
  1. College of Civil Engineering, Hunan University, Changsha, 410082, Hunan, People’s Republic of China
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics
  Complexity
  Fluids
  Thermodynamics
  Systems and Information Theory in Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0681

文摘

Suspended cable’s non-planar resonant coupled dynamics under out-of-plane support motion is investigated by the multiple- scale method, with a boundary modulation formulation established and nonlinear dynamic responses analyzed. Explicitly, to cope with the difficulty due to moving boundary, the small resonant support motion is properly rescaled and incorporated into cable’s modulation equations as a boundary resonant modulation term, through constructing solvability conditions of the multi-scale expansions. And the boundary resonance dynamic coefficient, characterizing the boundary modulation effect, is derived analytically for cable’s two-to-one resonant coupled dynamics. Numerical results for cable’s non-planar coupled dynamic responses, including stability and bifurcation analysis for the equilibrium solutions of modulation equations, are obtained and presented in the end, with both saddle-node bifurcations and Hopf bifurcations detected.