| Title:
|
Mathematical models of suspension bridges (English) |
| Author:
|
Tajčová, Gabriela |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
42 |
| Issue:
|
6 |
| Year:
|
1997 |
| Pages:
|
451-480 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
dynamical behaviour |
| Keyword:
|
suspension bridges |
| Keyword:
|
Tacoma Narrows bridge |
| Keyword:
|
nonlinear oscillations |
| MSC:
|
35B10 |
| MSC:
|
35Q72 |
| MSC:
|
70K30 |
| MSC:
|
73D35 |
| MSC:
|
73H10 |
| MSC:
|
73K05 |
| MSC:
|
73K12 |
| MSC:
|
74H45 |
| MSC:
|
74K10 |
| idZBL:
|
Zbl 1042.74535 |
| idMR:
|
MR1475052 |
| DOI:
|
10.1023/A:1022255113612 |
| . |
| Date available:
|
2009-09-22T17:56:11Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134369 |
| . |
| Reference:
|
[lit4] J. M. Alonso, R. Ortega: Global asymptotic stability of a forced Newtonian system with dissipation.Journal of Math. Anal. and Appl. 196 (1995), 965–986. MR 1365234, 10.1006/jmaa.1995.1454 |
| Reference:
|
[lit2] P. Drábek: Jumping nonlinearities and mathematical models of suspension bridges.Acta Math. et Inf. Univ. Ostraviensis 2 (1994), 9–18. MR 1309060 |
| Reference:
|
[lit7] A. Fonda, Z. Schneider, F. Zanolin: Periodic oscillations for a nonlinear suspension bridge model.Journal of Comp. and Applied Mathematics 52 (1994), 113–140. MR 1310126, 10.1016/0377-0427(94)90352-2 |
| Reference:
|
[lit3] S. Fučík: Nonlinear noncoercive problems.Conf. del Seminario di Mat. Univ. Bari (S. A. F. A. III), Bari, 1978, pp. 301–353. MR 0585118 |
| Reference:
|
[lit5] J. Glover, A. C. Lazer, P. J. McKenna: Existence and stability of large-scale nonlinear oscillations in suspension bridges.ZAMP 40 (1989), 171–200. MR 0990626, 10.1007/BF00944997 |
| Reference:
|
[lit1] A. C. Lazer, P. J. McKenna: Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis.SIAMS Review 32 (1990), 537–578. MR 1084570, 10.1137/1032120 |
| Reference:
|
[lit6] P. J. McKenna, W. Walter: Nonlinear oscillations in a suspension bridge.Arch. Rational Mech. Anal. 98 (1987), 167–177. MR 0866720, 10.1007/BF00251232 |
| . |
