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Spectral analysis connected with suspension bridge systems
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SYSNO ASEP 0450235 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Spectral analysis connected with suspension bridge systems Author(s) Malík, Josef (UGN-S) RID Number of authors 1 Source Title IMA Journal of Applied Mathematics - ISSN 0272-4960
Roč. 81, č. 1 (2016), s. 42-75Number of pages 34 s. Publication form Online - E Language eng - English Country GB - United Kingdom Keywords suspension bridge ; vertical and torsional oscillation ; eigenvalue ; eigenvector ; flutter Subject RIV JM - Building Engineering OECD category Civil engineering R&D Projects ED2.1.00/03.0082 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) LO1406 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UGN-S - RVO:68145535 UT WOS 000370297200003 DOI 10.1093/imamat/hxv027 Annotation In this paper, three dynamic linear models of the main span of suspension bridges are studied. The models describe vertical and torsional oscillations of the deck under the action of lateral wind. The problems correspond to the situations when both the midspan cable bands are loosened, both the midspan bands are fixed, and one midspan band is fixed and the other is loosened. Three corresponding eigenvalue and eigenvector problems are formulated and analysed. The continuous dependence of eigenvalues and eigenvectors on data are proved. The analysis of the three eigenvalue and eigenvector problems against flutter is carried out, which reveals possible reasons of the collapse of the original Tacoma suspension bridge. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2018 Electronic address http://imamat.oxfordjournals.org/content/early/2015/09/16/imamat.hxv027.short?rss=1
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