On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method

DOI10.1007/s00707-023-03635-xzbMath1527.74036MaRDI QIDQ6074797

Yimin Lu, Haozheng Wei, Yuteng He, Yuanfeng Wu, Guangxu Dong, Enwei Chen

Publication date: 19 September 2023

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

exponential energy decayextended Hamilton principleboundary damping controlboundary energy reflection

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05)

Cites Work

• Unnamed Item
• Nonlinear dynamic response of axially moving, stretched viscoelastic strings
• Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string
• Application of variable structure control in the nonlinear string system
• Melnikov-based criterion to obtain the critical velocity in axially moving viscoelastic strings under a set of non-Gaussian parametric bounded noise
• Hamilton's principle for systems of changing mass
• Absolute boundary stabilization for an axially moving Kirchhoff beam
• On the construction of the solution of an equation describing an axially moving string
• Vibration Control in Rotating or Translating Elastic Systems
• Vibration Control of an Axially Moving String by Boundary Control

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