Journal ArticleDOI
Stability in parametric resonance of axially moving viscoelastic beams with time-dependent speed
Li-Qun Chen,Xiao-Dong Yang +1 more
TLDR
In this paper, the stability in transverse parametric vibration of axially accelerating viscoelastic beams is investigated and the stability conditions are obtained for combination and principal parametric resonance.About:
This article is published in Journal of Sound and Vibration.The article was published on 2005-06-21. It has received 96 citations till now. The article focuses on the topics: Parametric oscillator & Parametric statistics.read more
Citations
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Journal ArticleDOI
Stability and bifurcation of an axially moving beam tuned to three-to-one internal resonances
TL;DR: In this paper, the authors analyzed the nonlinear vibration of an axially moving beam subject to periodic lateral force excitations, and they used the incremental harmonic balance (IHB) method to evaluate the non-linear dynamic behavior of the beam.
Journal ArticleDOI
Non-linear parametric vibration and stability of axially moving visco-elastic Rayleigh beams
Mergen H. Ghayesh,Sara Balar +1 more
TL;DR: In this paper, an axially moving visco-elastic Rayleigh beam with cubic nonlinearity is considered, and the governing partial-differential equation of motion for large amplitude vibration is derived through geometrical, constitutive, and dynamical relations.
Journal ArticleDOI
Infinite mode analysis and truncation to resonant modes of axially accelerated beam vibrations
Mehmet Pakdemirli,H. R. Öz +1 more
TL;DR: In this paper, the transverse vibrations of simply supported axially moving Euler-Bernoulli beams are investigated using the method of multiple scales, a perturbation technique.
Journal ArticleDOI
Vibration and stability of an axially moving viscoelastic beam with hybrid supports
Li-Qun Chen,Xiao-Dong Yang +1 more
TL;DR: In this paper, the effects of viscoelasticity on free vibration and stability of axially moving beam constrained by simple supports with torsion springs were investigated. But the authors focused on the stability of the axial speed of the beam.
Journal ArticleDOI
Exact free vibration analysis of axially moving viscoelastic plates
TL;DR: In this paper, an exact finite strip method is developed for the free vibration analysis of axially moving viscoelastic plates, where the exact stiffness matrix of a finite strip of plate is extracted in the frequency domain.
References
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Journal ArticleDOI
Classical Vibration Analysis of Axially Moving Continua
J. A. Wickert,C. D. Mote +1 more
TL;DR: In this article, the equations of motion are cast in a canonical state space form defined by one symmetric and one skew-symmetric differential operator, and the eigenfunctions are orthogonal with respect to each operator.
Journal ArticleDOI
Current research on the vibration and stability of axially-moving materials
J. A Wicker,C. D. Mote +1 more
Journal ArticleDOI
Vibrations of an axially moving beam with time-dependent velocity
TL;DR: In this paper, the dynamic response of an axially accelerating, elastic, tensioned beam is investigated, where the time-dependent velocity is assumed to vary harmonically about a constant mean velocity.
Journal ArticleDOI
Vibrations of belts and belt drives
TL;DR: In this paper, the effects of initial tension, transport velocity, bending rigidity, support flexibility, large displacements and belt and pulley imperfections are discussed, and influence of several complicating factors are mentioned.
Journal ArticleDOI
Kelvin–Voigt versus Bürgers internal damping in modeling of axially moving viscoelastic web
TL;DR: In this paper, the stability and oscillation characteristics of two-dimensional axially moving web have been investigated and the numerical solutions of full non-linear and linearized equations have been compared.