Torsional asymmetry in suspension bridge systems

Josef Malík

Applications of Mathematics (2015)

  • Volume: 60, Issue: 6, page 677-701
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Malík, Josef. "Torsional asymmetry in suspension bridge systems." Applications of Mathematics 60.6 (2015): 677-701. <http://eudml.org/doc/271836>.

@article{Malík2015,
abstract = {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.},
author = {Malík, Josef},
journal = {Applications of Mathematics},
keywords = {suspension bridge; Hamilton principle; vertical oscillation; torsional oscillation; existence; uniqueness; continuous dependence on data; suspension bridge; Hamilton principle; vertical oscillation; torsional oscillation; existence; uniqueness; continuous dependence on data},
language = {eng},
number = {6},
pages = {677-701},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Torsional asymmetry in suspension bridge systems},
url = {http://eudml.org/doc/271836},
volume = {60},
year = {2015},
}

TY - JOUR
AU - Malík, Josef
TI - Torsional asymmetry in suspension bridge systems
JO - Applications of Mathematics
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 6
SP - 677
EP - 701
AB - 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.
LA - eng
KW - suspension bridge; Hamilton principle; vertical oscillation; torsional oscillation; existence; uniqueness; continuous dependence on data; suspension bridge; Hamilton principle; vertical oscillation; torsional oscillation; existence; uniqueness; continuous dependence on data
UR - http://eudml.org/doc/271836
ER -

References

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