Dynamic stability of axially accelerating viscoelastic plates with longitudinally varying tensions

DOI10.1007/S10483-016-2146-8zbMath1374.74086OpenAlexW2551882623MaRDI QIDQ1680421

Xin Wang, Mohan Rui, Dicheng Zhu, Deng-Bo Zhang, You-Qi Tang

Publication date: 16 November 2017

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-016-2146-8

zbMATH Keywords

parametric resonancelongitudinally varying tensionnonhomogeneous boundary conditionaxially moving plate

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Parametric resonances in linear vibration theory (70J40)

Related Items (8)

Complex stability boundaries of axially moving beams with interdependent speed and tension ⋮ Large amplitude free vibration of a viscoelastic beam carrying a lumped mass-spring-damper ⋮ Internal resonance in parametric vibrations of axially accelerating viscoelastic plates ⋮ Free vibration and stability of an axially moving thin circular cylindrical shell using multiple scales method ⋮ Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed ⋮ Parametric and internal resonance of a transporting plate with a varying tension ⋮ Nonlinear vibration of a beam with asymmetric elastic supports ⋮ Nonlinear Phenomena in Axially Moving Beams with Speed-Dependent Tension and Tension-Dependent Speed

Cites Work

• Stability analysis and numerical confirmation in parametric resonance of axially moving viscoelastic plates with time-dependent speed
• Parametric and internal resonance of axially accelerating viscoelastic beams with the recognition of longitudinally varying tensions
• Nonlinear dynamics of axially moving viscoelastic Timoshenko beam under parametric and external excitations
• Stability and vibration characteristics of axially moving plates
• Equilibrium and buckling stability for axially traveling plates.
• Primary resonance in forced vibrations of in-plane translating viscoelastic plates with 3:1 internal resonance
• Free vibration analysis of the axially moving Levy-type viscoelastic plate
• Nonlinear transverse vibration of axially accelerating strings with exact internal resonances and longitudinally varying tensions
• Parametric and internal resonances of in-plane accelerating viscoelastic plates
• Two-dimensional rheological element in modelling of axially moving viscoelastic web
• Principal parametric resonance of axially accelerating rectangular thin plate in magnetic field
• NONLINEAR ANALYSIS OF AXIALLY MOVING PLATES USING FEM
• The Wave Equation in a Medium in Motion
• Wide bandsaw blade under cutting conditions
• Wide bandsaw blade under cutting conditions
• Wide bandsaw blade under cutting conditions
• Equilibrium Displacement and Stress Distribution in a Two-Dimensional, Axially Moving Web Under Transverse Loading
• Numerical analysis of moving orthotropic thin plates

This page was built for publication: Dynamic stability of axially accelerating viscoelastic plates with longitudinally varying tensions