Primary resonance in forced vibrations of in-plane translating viscoelastic plates with 3:1 internal resonance

DOI10.1007/S11071-011-0253-6zbMath1288.74032OpenAlexW2026272837MaRDI QIDQ1928924

Li Qun Chen, You-Qi Tang

Publication date: 4 January 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0253-6

zbMATH Keywords

method of multiple scalesHamilton principledifferential quadrature schemeRouth-Hurvitz criterion

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear constitutive equations for materials with memory (74D05)

Related Items (11)

Analytical analysis for vibration of longitudinally moving plate submerged in infinite liquid domain ⋮ Parametric and internal resonance of axially accelerating viscoelastic beams with the recognition of longitudinally varying tensions ⋮ Dynamic stability of axially accelerating viscoelastic plates with longitudinally varying tensions ⋮ Forced vibration of an axially moving laminated composite cylindrical shallow shell ⋮ Dynamic instability of axially moving viscoelastic plate ⋮ Dynamic analysis of axially moving orthotropic plates: integral transform solution ⋮ Parametric and internal resonance of a transporting plate with a varying tension ⋮ Steady-state response of an axially moving circular cylindrical panel with internal resonance ⋮ Asymptotic decay of solutions to an essentially nonlinear system with two-frequency resonances ⋮ Nonlinear primary resonance analysis for a coupled thermo-piezoelectric-mechanical model of piezoelectric rectangular thin plates ⋮ Vibrations suppression of fractionally damped plates using multiple optimal dynamic vibration absorbers

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