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A continuous vibration analysis model for cables with sag and bending stiffness

TitleA continuous vibration analysis model for cables with sag and bending stiffness
Publication TypeArticolo su Rivista peer-reviewed
Year of Publication2008
AuthorsRicciardi, G., and Saitta Fernando
JournalEngineering Structures
Volume30
Start Page1459
Issue5
Pagination1459-1472
Date PublishedJan-05-2008
ISSN01410296
Keywordsbending, Bending stiffness, boundary condition, Boundary conditions, bridge, cable, Cable dynamics, Cable stayed bridges, eigenvalue, Eigenvalues and eigenfunctions, Eurasia, Europe, Finite difference method, Finite element method, guideline, Italy, Modeling, Southern Europe, stiffness, Strait of Messina, vibration, Vibrations (mechanical)
Abstract

The paper reports an investigation on a continuous model for dynamics of large-diameter sagged cables, taking bending stiffness and sag extensibility into account. Following the classical guidelines of cable dynamics, and by making some simplifications, a continuous model is found in this work; frequency and mode shape equations have been obtained in non-dimensional form. Comparison with Finite Element (FE) and Finite Difference (FD) models has been made to validate the proposed method. Moreover, it allows us to represent local effects at the end zones of cable correctly, if clamped boundary conditions are assumed. To obtain comparable results, the FE model would require a large subdivision, with consequently, a large number of elements. The proposed eigenfunctions allow us to solve the dynamic problem without a large computational effort compared to FE or FD approaches. Finally, in order to show the usefulness of the developed continuous model, an application on the main cables of the designed Messina Strait Bridge has been made. © 2007 Elsevier Ltd. All rights reserved.

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URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-41549109405&doi=10.1016%2fj.engstruct.2007.08.008&partnerID=40&md5=b6f389b08a696c719d78713523ed53d6
DOI10.1016/j.engstruct.2007.08.008
Short TitleEngineering Structures
Citation KeyRicciardi20081459