Instability of oscillations in cable-stayed bridges

Josef Malík

Applications of Mathematics (2005)

  • Volume: 50, Issue: 6, page 503-525
  • ISSN: 0862-7940

Abstract

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In this paper the stability of two basic types of cable stayed bridges, suspended by one or two rows of cables, is studied. Two linearized models of the center span describing the vertical and torsional oscillations are investigated. After the analysis of these models, a stability criterion is formulated. The criterion expresses a relation between the eigenvalues of the vertical and torsional oscillations of the center span. The continuous dependence of the eigenvalues on some data is studied and a stability problem for the center span is formulated. The existence of a solution to the stability problem is proved. Some other qualitative results concerning the stability/instability of oscillations are studied as well.

How to cite

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Malík, Josef. "Instability of oscillations in cable-stayed bridges." Applications of Mathematics 50.6 (2005): 503-525. <http://eudml.org/doc/33235>.

@article{Malík2005,
abstract = {In this paper the stability of two basic types of cable stayed bridges, suspended by one or two rows of cables, is studied. Two linearized models of the center span describing the vertical and torsional oscillations are investigated. After the analysis of these models, a stability criterion is formulated. The criterion expresses a relation between the eigenvalues of the vertical and torsional oscillations of the center span. The continuous dependence of the eigenvalues on some data is studied and a stability problem for the center span is formulated. The existence of a solution to the stability problem is proved. Some other qualitative results concerning the stability/instability of oscillations are studied as well.},
author = {Malík, Josef},
journal = {Applications of Mathematics},
keywords = {cable stayed bridge; vertical and torsional oscillations; eigenvalues and eigenfunctions of center span; cable stayed bridge; vertical and torsional oscillations; eigenvalues and eigenfunctions of center span},
language = {eng},
number = {6},
pages = {503-525},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Instability of oscillations in cable-stayed bridges},
url = {http://eudml.org/doc/33235},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Malík, Josef
TI - Instability of oscillations in cable-stayed bridges
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 6
SP - 503
EP - 525
AB - In this paper the stability of two basic types of cable stayed bridges, suspended by one or two rows of cables, is studied. Two linearized models of the center span describing the vertical and torsional oscillations are investigated. After the analysis of these models, a stability criterion is formulated. The criterion expresses a relation between the eigenvalues of the vertical and torsional oscillations of the center span. The continuous dependence of the eigenvalues on some data is studied and a stability problem for the center span is formulated. The existence of a solution to the stability problem is proved. Some other qualitative results concerning the stability/instability of oscillations are studied as well.
LA - eng
KW - cable stayed bridge; vertical and torsional oscillations; eigenvalues and eigenfunctions of center span; cable stayed bridge; vertical and torsional oscillations; eigenvalues and eigenfunctions of center span
UR - http://eudml.org/doc/33235
ER -

References

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