The energetics and the stability of axially moving strings undergoing planar motion

DOI10.1016/J.IJENGSCI.2006.08.007zbMath1213.74185OpenAlexW2129420023MaRDI QIDQ538670

Li Qun Chen

Publication date: 25 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2006.08.007

zbMATH Keywords

stabilityenergeticsconserved quantityaxially moving stringplanar vibration

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Strings (74K05)

Related Items (5)

Nonlinear dynamics for transverse motion of axially moving strings ⋮ Subharmonic dynamics of an axially accelerating beam ⋮ Energetics and conserved quantity of an axially moving string undergoing three-dimensional nonlinear vibration ⋮ Free vibrations of beam-mass-spring systems: analytical analysis with numerical confirmation ⋮ Stability characteristics of an axially accelerating string supported by an elastic foundation

Cites Work

• A numerical method for simulating transverse vibrations of an axially moving string
• A computation method for nonlinear vibration of axially accelerating viscoelastic strings
• Simulations of transverse vibrations of an axially moving string: a modified difference approach
• Mathematical formulation of the laws of conservation of mass and energy and the equation of motion for a moving thread
• The Wave Equation in a Medium in Motion
• COMMENTS ON NON-LINEAR FORMULATIONS FOR TRAVELLING STRING AND BEAM PROBLEMS
• Principal parametric resonance of axially accelerating viscoelastic strings with an integral constitutive law

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