A Highly Accurate and Efficient Analytical Approach to Bridge Deck Free Vibration Analysis

The superposition method is employed to obtain an accurate analytical type solution for the free vibration frequencies and mode shapes of multi-span bridge decks. Free edge conditions are imposed on the long edges running in the direction of the deck. Inter-span support is of the simple (knife-edge)...

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Main Authors: D.J. Gorman, L. Garibaldi
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2000/896361
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author D.J. Gorman
L. Garibaldi
author_facet D.J. Gorman
L. Garibaldi
author_sort D.J. Gorman
collection DOAJ
description The superposition method is employed to obtain an accurate analytical type solution for the free vibration frequencies and mode shapes of multi-span bridge decks. Free edge conditions are imposed on the long edges running in the direction of the deck. Inter-span support is of the simple (knife-edge) type. The analysis is valid regardless of the number of spans or their individual lengths. Exact agreement is found when computed results are compared with known eigenvalues for bridge decks with all spans of equal length. Mode shapes and eigenvalues are presented for typical bridge decks of three and four span lengths. In each case torsional and non-torsional modes are studied.
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spelling doaj-art-1d6b956716f649b0900be8f1298b97592025-02-03T00:59:09ZengWileyShock and Vibration1070-96221875-92032000-01-017639941210.1155/2000/896361A Highly Accurate and Efficient Analytical Approach to Bridge Deck Free Vibration AnalysisD.J. Gorman0L. Garibaldi1Department of Mechanical Engineering, University of Ottawa, 770 King Edward Avenue, Ottawa, CanadaDipartimento di Meccanico, Politecnico di Torin, Torino, ItalyThe superposition method is employed to obtain an accurate analytical type solution for the free vibration frequencies and mode shapes of multi-span bridge decks. Free edge conditions are imposed on the long edges running in the direction of the deck. Inter-span support is of the simple (knife-edge) type. The analysis is valid regardless of the number of spans or their individual lengths. Exact agreement is found when computed results are compared with known eigenvalues for bridge decks with all spans of equal length. Mode shapes and eigenvalues are presented for typical bridge decks of three and four span lengths. In each case torsional and non-torsional modes are studied.http://dx.doi.org/10.1155/2000/896361
spellingShingle D.J. Gorman
L. Garibaldi
A Highly Accurate and Efficient Analytical Approach to Bridge Deck Free Vibration Analysis
Shock and Vibration
title A Highly Accurate and Efficient Analytical Approach to Bridge Deck Free Vibration Analysis
title_full A Highly Accurate and Efficient Analytical Approach to Bridge Deck Free Vibration Analysis
title_fullStr A Highly Accurate and Efficient Analytical Approach to Bridge Deck Free Vibration Analysis
title_full_unstemmed A Highly Accurate and Efficient Analytical Approach to Bridge Deck Free Vibration Analysis
title_short A Highly Accurate and Efficient Analytical Approach to Bridge Deck Free Vibration Analysis
title_sort highly accurate and efficient analytical approach to bridge deck free vibration analysis
url http://dx.doi.org/10.1155/2000/896361
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