Coupled string-beam equations as a model of suspension bridges

Pavel Drábek; Herbert Leinfelder; Gabriela Tajčová

Applications of Mathematics (1999)

  • Volume: 44, Issue: 2, page 97-142
  • ISSN: 0862-7940

Abstract

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We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations in suspension bridges. We prove the existence of a unique solution under suitable assumptions on certain parameters of the bridge.

How to cite

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Drábek, Pavel, Leinfelder, Herbert, and Tajčová, Gabriela. "Coupled string-beam equations as a model of suspension bridges." Applications of Mathematics 44.2 (1999): 97-142. <http://eudml.org/doc/33029>.

@article{Drábek1999,
abstract = {We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations in suspension bridges. We prove the existence of a unique solution under suitable assumptions on certain parameters of the bridge.},
author = {Drábek, Pavel, Leinfelder, Herbert, Tajčová, Gabriela},
journal = {Applications of Mathematics},
keywords = {nonlinearly coupled string-beam equation; periodic oscillations; jumping nonlinearities; degree theory; coupled string-beam equation; periodic oscillations; jumping nonlinearities},
language = {eng},
number = {2},
pages = {97-142},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Coupled string-beam equations as a model of suspension bridges},
url = {http://eudml.org/doc/33029},
volume = {44},
year = {1999},
}

TY - JOUR
AU - Drábek, Pavel
AU - Leinfelder, Herbert
AU - Tajčová, Gabriela
TI - Coupled string-beam equations as a model of suspension bridges
JO - Applications of Mathematics
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 2
SP - 97
EP - 142
AB - We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations in suspension bridges. We prove the existence of a unique solution under suitable assumptions on certain parameters of the bridge.
LA - eng
KW - nonlinearly coupled string-beam equation; periodic oscillations; jumping nonlinearities; degree theory; coupled string-beam equation; periodic oscillations; jumping nonlinearities
UR - http://eudml.org/doc/33029
ER -

References

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Citations in EuDML Documents

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  1. Josef Malík, Torsional asymmetry in suspension bridge systems
  2. Josef Malík, Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems
  3. Josef Malík, Instability of oscillations in cable-stayed bridges
  4. Pavel Drábek, Gabriela Holubová, Aleš Matas, Petr Nečesal, Nonlinear models of suspension bridges: discussion of the results
  5. Gabriela Liţcanu, A mathematical model of suspension bridges

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