Transverse vibration of viscoelastic sandwich beam with time-dependent axial tension and axially varying moving velocity

DOI10.1016/j.apm.2013.10.055zbMath1427.74058OpenAlexW1969633598MaRDI QIDQ1630197

Yinghui Li, Qikuan Liu, Liang Li, Hai-Wei Lv

Publication date: 7 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.10.055

zbMATH Keywords

stabilitymethod of multiple scalesbifurcationaxially accelerating viscoelastic sandwich beamdisturbed tension

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Linear constitutive equations for materials with memory (74D05)

Related Items (10)

Complex stability boundaries of axially moving beams with interdependent speed and tension ⋮ Size-dependent frequency and stability characteristics of axially moving microbeams based on modified couple stress theory ⋮ Nonlinear dynamics of high-dimensional models of in-plane and out-of-plane vibration in an axially moving viscoelastic beam ⋮ Free vibration and stability of an axially moving thin circular cylindrical shell using multiple scales method ⋮ Internal resonance of an axially transporting beam with a two-frequency parametric excitation ⋮ Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory ⋮ Non-linearly parametric resonances of an axially moving viscoelastic sandwich beam with time-dependent velocity ⋮ Study on vibration and stability of an axially translating viscoelastic Timoshenko beam: non-transforming spectral element analysis ⋮ Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed ⋮ Nonlinear Phenomena in Axially Moving Beams with Speed-Dependent Tension and Tension-Dependent Speed

Cites Work

• Dynamic stability of an axially accelerating viscoelastic beam
• Vibration and stability of an axially moving viscoelastic beam with hybrid supports
• Group properties and group-invariant solutions for infinitesimal transformations of the non-linearly traveling string
• Dynamic stability of axially moving viscoelastic beams with pulsating speed
• Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime
• Bifurcation and chaos of an axially accelerating viscoelastic beam
• Natural frequencies, modes and critical speeds of axially moving Timoshenko beams with different boundary conditions
• Rotary inertia and temperature effects on nonlinear vibration, steady-state response and stability of an axially moving beam with time-dependent velocity
• Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models
• Stability of axially accelerating viscoelastic beams: Multi-scale analysis with numerical confirmations
• Classical Vibration Analysis of Axially Moving Continua
• Parametric Instability of Axially Moving Media Subjected to Multifrequency Tension and Speed Fluctuations
• A New Method of Solution of the Eigenvalue Problem for Gyroscopic Systems
• Transverse Vibration of an Axially Accelerating String
• LIE GROUP THEORY AND ANALYTICAL SOLUTIONS FOR THE AXIALLY ACCELERATING STRING PROBLEM

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