Spectral analysis connected with suspension bridge systems

0450235 - ÚGN 2018 RIV GB eng J - Journal Article
Malík, Josef
Spectral analysis connected with suspension bridge systems.
IMA Journal of Applied Mathematics. Roč. 81, č. 1 (2016), s. 42-75. ISSN 0272-4960. E-ISSN 1464-3634
R&D Projects: GA MŠMT ED2.1.00/03.0082; GA MŠMT(CZ) LO1406
Institutional support: RVO:68145535
Keywords : suspension bridge * vertical and torsional oscillation * eigenvalue * eigenvector * flutter
OECD category: Civil engineering
Impact factor: 0.945, year: 2016
http://imamat.oxfordjournals.org/content/early/2015/09/16/imamat.hxv027.short?rss=1

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.
Permanent Link: http://hdl.handle.net/11104/0251640