Journal ArticleDOI
Out-of-plane free vibration analysis of a cable–arch structure
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In this article, the out-of-plane dynamic behavior of a cable-arch structure is investigated using d'Alembert's principle and a transfer matrix method is used to solve the governing equations.About:
This article is published in Journal of Sound and Vibration.The article was published on 2013-02-18. It has received 24 citations till now. The article focuses on the topics: Arch.read more
Citations
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Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators
Hu Ding,Li-Qun Chen +1 more
TL;DR: In this article, the dynamics of a slightly curved beam supported by quasi-zero-stiffness systems are firstly presented, and then the mode functions and the frequencies of the curved beam with elastic boundaries are derived.
Journal ArticleDOI
Primary resonance of traveling viscoelastic beam under internal resonance
TL;DR: In this article, the steady-state periodic response of the forced vibration of a traveling viscoelastic beam is studied under the 3:1 internal resonance condition, and the undetermined coefficient method is used to approximately establish the real modal functions.
Journal ArticleDOI
Forced vibration of axially moving beam with internal resonance in the supercritical regime
Xiao-Ye Mao,Hu Ding,Li-Qun Chen +2 more
TL;DR: In this paper, the authors derived the governing equation from the generalized Hamilton's principle and discretized into a multiple-degrees-of-freedom system by the Galerkin's method, and investigated local and global resonances under the condition of 3:1 internal resonance of a super-critically axially moving beam, subjected to a harmonic exciting force.
Journal ArticleDOI
Natural frequencies of a super-critical transporting Timoshenko beam
Hu Ding,Xia Tan,Earl H. Dowell +2 more
TL;DR: In this paper, the effects of rotary inertia and shear deformation on transverse vibration of super-critical transporting beams are discovered for the first time, and the Galerkin method is applied to solve natural frequencies with the simply supported boundary conditions.
Journal ArticleDOI
Equilibrium bifurcation of high-speed axially moving Timoshenko beams
TL;DR: In this article, an axially moving Timoshenko beam is investigated in the supercritical region and the static equilibrium equation is deduced from the governing equation of transverse vibration of the beam.
References
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Book
Linear and nonlinear structural mechanics
Ali H. Nayfeh,P. Frank Pai +1 more
TL;DR: In this paper, the authors propose a reduction of the string model to two equations, and then a reduction to a single-mode response with a Discretization Approach (DMR) approach.
Journal ArticleDOI
Free Vibrations Of Circular Arches: A Review
N.M. Auciello,M.A. De Rosa +1 more
TL;DR: In this article, a critical brief review of the free dynamics of circular arches is presented, under the classical hypotheses that (1) the dimensions of the cross-section are small in comparison with the radius, (2) the axis is inextensible and (3) shear forces and rotatory inertia are neglected.
Journal ArticleDOI
In-plane and out-of-plane free vibrations of curved beams with variable sections
TL;DR: In this article, an approximate method to study the analysis for both in-plane and out-of-plane free vibration of horizontally curved beams with arbitrary shapes and variable cross-sections is presented.
Journal ArticleDOI
Influence of centerline extensibility on the in-plane free vibrations of loaded circular arches
P. Chidamparam,Arthur W. Leissa +1 more
TL;DR: In this paper, the Galerkin method was used to obtain exact numerical values of free vibration frequencies for uniform arches subjected to gravity loading, and convergence of the method was demonstrated.