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Journal ArticleDOI

In-plane free vibration analysis of cable–arch structure

Yueyu Zhao, +1 more
- 06 May 2008 - 
- Vol. 312, Iss: 3, pp 363-379
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TLDR
Based on the supporting members of cable-stayed arch bridge and of erection of arch bridge using of the cantilever construction method with tiebacks, this article proposed a novel mechanical model of cable and arch structure.
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This article is published in Journal of Sound and Vibration.The article was published on 2008-05-06. It has received 31 citations till now. The article focuses on the topics: Arch.

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Citations
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Journal ArticleDOI

Dynamic instability of functionally graded porous arches reinforced by graphene platelets

TL;DR: In this paper, the dynamic instability of a functionally graded porous arch reinforced with uniformly distributed graphene platelets (GPLs) under the combined action of a static force and a dynamic uniform pressure in the radial direction was investigated.
Journal ArticleDOI

Nonlinear vibration of a beam with asymmetric elastic supports

TL;DR: In this article, a viscoelastic beam supported by vertical springs is proposed with nonrotatable left boundary and freely rotatable right end, and the steady-state responses of the beam excited by a distributed harmonic force are obtained by an approximate analytical method and a numerical approach.
Journal ArticleDOI

Out-of-plane free vibration analysis of a cable–arch structure

TL;DR: 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.
Journal ArticleDOI

Modeling and parameter analysis of in-plane dynamics of a suspension bridge with transfer matrix method

TL;DR: Based on Hamilton's variational principle, the governing equations for the in-plane dynamics of the model are obtained in this article, where the boundary and continuity conditions of the subsystems (cable and beam) are utilized to determine the only six unknown non-dimensional constants of the system.
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Static, stability and free vibration analysis of arches using a new differential transformation-based arch element

TL;DR: In this paper, the shape functions for nodal variables of an arbitrarily non-uniform curved arch element including the effects of shear deformation and extensibility of the neutral axis, considering axially functionally graded material were derived.
References
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Journal ArticleDOI

Free Vibrations Of Circular Arches: A Review

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.
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Exact solution of in-plane vibrations of circular arches with account taken of axial extension, transverse shear and rotatory inertia effects

TL;DR: In this article, an exact solution of free in-plane vibrations of circular arches of uniform cross-section is given by considering axial extension, transverse shear and rotatory inertia effects.
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

In-plane free vibration analysis of circular arches with varying cross-sections using differential quadrature method

TL;DR: In this article, a generalized differential quadrature (DQ) solution for free vibration of variable cross-section circular thin arches with different types of boundary conditions, including those with elastic constraint against rotation at their ends, is considered.
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