Nonlinear combination parametric resonance of axially accelerating viscoelastic strings constituted by the standard linear solid model

DOI10.1007/S11431-010-0068-6zbMath1383.74032OpenAlexW2038331411MaRDI QIDQ987273

J. Martínez

Publication date: 13 August 2010

Published in: Science China. Technological Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-010-0068-6

zbMATH Keywords

method of multiple scalesviscoelasticitysteady-state responsenonlinear parametric vibrationaxially accelerating strings

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Parametric resonances for nonlinear problems in mechanics (70K28) Strings (74K05)

Cites Work

• Zener internal damping in modelling of axially moving viscoelastic beam with time-dependent tension
• A numerical method for simulating transverse vibrations of an axially moving string
• Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string
• Two nonlinear models of a transversely vibrating string
• Transverse vibrations of an axially accelerating viscoelastic string with geometric nonlinearity
• Non-linear free oscillations of moving viscoelastic belts
• Steady-state response of the parametrically excited axially moving string constituted by the Boltzmann superposition principle
• Two-dimensional rheological element in modelling of axially moving viscoelastic web
• Dynamic analysis of an axially moving viscoelastic string by the Galerkin method using translating string eigenfunctions
• Nonlinear dynamic behavior of a moving viscoelastic string undergoing three-dimensional vibration
• Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law
• Classical Vibration Analysis of Axially Moving Continua
• Nonlinear Vibration of Parametrically Excited, Viscoelastic, Axially Moving Strings
• Principal parametric resonance of axially accelerating viscoelastic strings with an integral constitutive law

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