Eigenvalue and stability analysis for transverse vibrations of axially moving strings based on Hamiltonian dynamics

DOI10.1007/s10409-005-0066-2zbMath1200.74083OpenAlexW1987566743MaRDI QIDQ608658

Xuetao Liu, Yuefang Wang, Li-Hua Huang

Publication date: 25 November 2010

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

Full work available at URL: https://doi.org/10.1007/s10409-005-0066-2

zbMATH Keywords

stabilitydivergencemodal analysissymplecticaxially moving strings

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Hamilton's equations (70H05) Strings (74K05)

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Dynamic modeling of taut strings carrying a traveling mass ⋮ Dynamic behaviour of axially moving nanobeams based on nonlocal elasticity approach ⋮ Nonlinear dynamics for transverse motion of axially moving strings ⋮ Vibration of axially moving beam supported by viscoelastic foundation ⋮ Identification of vibration loads on hydrogenerator by using hybrid genetic algorithm ⋮ A novel approach to stability analysis of a wide class of irrational linear systems ⋮ Review and perspectives in applied mechanics of axially moving flexible structures ⋮ Stability analyses for axially moving strings in nonlinear free and aerodynamically excited vibrations ⋮ Safety Analysis and Optimization of Travelling Webs Subjected to Fracture and Instability

Cites Work

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• Transverse vibrations of an axially accelerating viscoelastic string with geometric nonlinearity
• Bifurcation and chaos of an axially moving viscoelastic string
• Classical Vibration Analysis of Axially Moving Continua
• Equilibrium Solutions and Existence for Traveling, Arbitrarily Sagged Elastic Cables
• Solution of the Moving Mass Problem Using Complex Eigenfunction Expansions
• Bifurcations of Eigenvalues of Gyroscopic Systems With Parameters Near Stability Boundaries

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