Mathematical models of suspension bridges

Gabriela Tajčová

Applications of Mathematics (1997)

  • Volume: 42, Issue: 6, page 451-480
  • ISSN: 0862-7940

Abstract

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In this work we try to explain various mathematical models describing the dynamical behaviour of suspension bridges such as the Tacoma Narrows bridge. Our attention is concentrated on the derivation of these models, an interpretation of particular parameters and on a discussion of their advantages and disadvantages. Our work should be a starting point for a qualitative study of dynamical structures of this type and that is why we have a closer look at the models, which have not been studied in literature yet. We are also trying to find particular conditions for unique solutions of some models.

How to cite

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Tajčová, Gabriela. "Mathematical models of suspension bridges." Applications of Mathematics 42.6 (1997): 451-480. <http://eudml.org/doc/32992>.

@article{Tajčová1997,
abstract = {In this work we try to explain various mathematical models describing the dynamical behaviour of suspension bridges such as the Tacoma Narrows bridge. Our attention is concentrated on the derivation of these models, an interpretation of particular parameters and on a discussion of their advantages and disadvantages. Our work should be a starting point for a qualitative study of dynamical structures of this type and that is why we have a closer look at the models, which have not been studied in literature yet. We are also trying to find particular conditions for unique solutions of some models.},
author = {Tajčová, Gabriela},
journal = {Applications of Mathematics},
keywords = {dynamical behaviour; suspension bridges; Tacoma Narrows bridge; nonlinear oscillations; nonlinear oscillations; suspension bridges},
language = {eng},
number = {6},
pages = {451-480},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Mathematical models of suspension bridges},
url = {http://eudml.org/doc/32992},
volume = {42},
year = {1997},
}

TY - JOUR
AU - Tajčová, Gabriela
TI - Mathematical models of suspension bridges
JO - Applications of Mathematics
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 6
SP - 451
EP - 480
AB - In this work we try to explain various mathematical models describing the dynamical behaviour of suspension bridges such as the Tacoma Narrows bridge. Our attention is concentrated on the derivation of these models, an interpretation of particular parameters and on a discussion of their advantages and disadvantages. Our work should be a starting point for a qualitative study of dynamical structures of this type and that is why we have a closer look at the models, which have not been studied in literature yet. We are also trying to find particular conditions for unique solutions of some models.
LA - eng
KW - dynamical behaviour; suspension bridges; Tacoma Narrows bridge; nonlinear oscillations; nonlinear oscillations; suspension bridges
UR - http://eudml.org/doc/32992
ER -

References

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  1. 10.1006/jmaa.1995.1454, Journal of Math. Anal. and Appl. 196 (1995), 965–986. (1995) MR1365234DOI10.1006/jmaa.1995.1454
  2. Jumping nonlinearities and mathematical models of suspension bridges, Acta Math. et Inf. Univ. Ostraviensis 2 (1994), 9–18. (1994) MR1309060
  3. 10.1016/0377-0427(94)90352-2, Journal of Comp. and Applied Mathematics 52 (1994), 113–140. (1994) MR1310126DOI10.1016/0377-0427(94)90352-2
  4. Nonlinear noncoercive problems, Conf. del Seminario di Mat. Univ. Bari (S. A. F. A. III), Bari, 1978, pp. 301–353. (1978) MR0585118
  5. 10.1007/BF00944997, ZAMP 40 (1989), 171–200. (1989) MR0990626DOI10.1007/BF00944997
  6. 10.1137/1032120, SIAMS Review 32 (1990), 537–578. (1990) MR1084570DOI10.1137/1032120
  7. 10.1007/BF00251232, Arch. Rational Mech. Anal. 98 (1987), 167–177. (1987) MR0866720DOI10.1007/BF00251232

Citations in EuDML Documents

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  1. Josef Malík, Torsional asymmetry in suspension bridge systems
  2. Petr Nečesal, On the resonance problem for the 4 th order ordinary differential equations, Fučík’s spectrum
  3. Josef Malík, Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems
  4. Josef Malík, Instability of oscillations in cable-stayed bridges
  5. Pavel Drábek, Herbert Leinfelder, Gabriela Tajčová, Coupled string-beam equations as a model of suspension bridges
  6. Pavel Drábek, Gabriela Holubová, Aleš Matas, Petr Nečesal, Nonlinear models of suspension bridges: discussion of the results
  7. Gabriela Liţcanu, A mathematical model of suspension bridges

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