Torsional asymmetry in suspension bridge systems
Applications of Mathematics, Tome 60 (2015) no. 6, pp. 677-701
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In this paper a dynamic linear model of suspension bridge center spans is formulated and three different ways of fixing the main cables are studied. The model describes vertical and torsional oscillations of the deck under the action of lateral wind. The mutual interactions of main cables, center span, and hangers are analyzed. Three variational evolutions are analyzed. The variational equations correspond to the way how the main cables are fixed. The existence, uniqueness, and continuous dependence on data are proved.
DOI :
10.1007/s10492-015-0117-3
Classification :
35L57, 35Q74
Keywords: suspension bridge; Hamilton principle; vertical oscillation; torsional oscillation; existence; uniqueness; continuous dependence on data
Keywords: suspension bridge; Hamilton principle; vertical oscillation; torsional oscillation; existence; uniqueness; continuous dependence on data
@article{10_1007_s10492_015_0117_3,
author = {Mal{\'\i}k, Josef},
title = {Torsional asymmetry in suspension bridge systems},
journal = {Applications of Mathematics},
pages = {677--701},
publisher = {mathdoc},
volume = {60},
number = {6},
year = {2015},
doi = {10.1007/s10492-015-0117-3},
mrnumber = {3436568},
zbl = {06537668},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-015-0117-3/}
}
TY - JOUR AU - Malík, Josef TI - Torsional asymmetry in suspension bridge systems JO - Applications of Mathematics PY - 2015 SP - 677 EP - 701 VL - 60 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-015-0117-3/ DO - 10.1007/s10492-015-0117-3 LA - en ID - 10_1007_s10492_015_0117_3 ER -
Malík, Josef. Torsional asymmetry in suspension bridge systems. Applications of Mathematics, Tome 60 (2015) no. 6, pp. 677-701. doi: 10.1007/s10492-015-0117-3
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