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A Computation Method for Nonlinear Vibration of Axially Accelerating Viscoelastic Strings

Applied Mathematics and Computation, 2005
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Li-Qun Chen, Wei-Jia Zhao
exaly   +2 more sources

Complex-Mode Galerkin Approach in Transverse Vibration of an Axially Accelerating Viscoelastic String

Applied Mathematics and Mechanics (English Edition), 2007
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Neng-Hui Zhang, Chang-Jun Cheng
exaly   +2 more sources

Transverse Vibrations of an Axially Accelerating Viscoelastic String With Geometric Nonlinearity

Journal of Engineering Mathematics, 2004
Transverse vibration of axially moving strings are frequently encountered in engineering devices. Here, assuming that the transport speed is constant mean speed with small harmonic variations, the authors derive the governing nonlinear partial differential equation from Newton's second law.
Li-Qun Chen, Xiao-Dong Yang, Jean Zu
exaly   +2 more sources

Transition Behaviour From String to Beam for an Axially Accelerating Material

Journal of Sound and Vibration, 1998
An approximate analytical expression for the natural frequency is given for the problem. For velocity profiles harmonically varying about a mean velocity, stability borders are determined analytically for fluctuation frequency versus amplitudes.
Mehmet Pakdemirli, E Özkaya, H R Öz
exaly   +2 more sources

Principal Resonance in Transverse Nonlinear Parametric Vibration of an Axially Accelerating Viscoelastic String

Acta Mechanica Sinica/Lixue Xuebao, 2004
To investigate the principal resonance in transverse nonlinear parametric vibration of an axially accelerating viscoelastic string, the method of multiple scales is applied directly to the nonlinear partial differential equation that governs the transverse vibration of the string. To derive the governing equation, Newton's second law, Lagrangean strain,
Li-Qun Chen, Jean Zu
exaly   +2 more sources

Nonlinear Transverse Vibration of Axially Accelerating Strings With Exact Internal Resonances and Longitudinally Varying Tensions

Nonlinear Dynamics, 2014
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Li-Qun Chen, Tang You-Qi, Jean Zu
exaly   +3 more sources

Principal Parametric Resonance of Axially Accelerating Viscoelastic Strings With an Integral Constitutive Law

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2005
The steady-state transverse responses and the stability of an axially accelerating viscoelastic string are investigated. The governing equation is derived from the Eulerian equation of motion of a continuum, which leads to the Mote model for transverse motion. The Kirchhoff model is derived from the Mote model by replacing the tension with the averaged
Li-Qun Chen
exaly   +2 more sources

Stability Characteristics of an Axially Accelerating String Supported by an Elastic Foundation

Mechanism and Machine Theory, 2009
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Mergen Ghayesh
exaly   +2 more sources

Nonlinear Combination Parametric Resonance of Axially Accelerating Viscoelastic Strings Constituted by the Standard Linear Solid Model

Science China Technological Sciences, 2010
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Li-Qun Chen, C W Lim, Hu Ding
exaly   +3 more sources

Parametric Vibrations and Stability of an Axially Accelerating String Guided by a Non-Linear Elastic Foundation

International Journal of Non-Linear Mechanics, 2010
Abstract Parametric vibrations and stability of an axially accelerating string guided by a non-linear elastic foundation are studied analytically. The axial speed, as the source of parametric vibrations, is assumed to involve a mean speed, along with small harmonic variations.
Mergen Ghayesh
exaly   +2 more sources

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