| Title:
|
Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems (English) |
| Author:
|
Malík, Josef |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
1-38 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A model of a cable stayed bridge is proposed. This model describes the behaviour of the center span, the part between pylons, hung on one row of cable stays. The existence, the uniqueness of a solution of a time independent problem and the continuous dependence on data are proved. The existence and the uniqueness of a solution of a linearized dynamic problem are proved. A homogenizing procedure making it possible to replace cables by a continuous system is proposed. A nonlinear dynamic problem connected with the homogenizing procedure is proposed and the existence and uniqueness of a solution are proved. (English) |
| Keyword:
|
cable stayed bridges |
| Keyword:
|
existence |
| Keyword:
|
uniqueness |
| Keyword:
|
continuous dependence on data |
| Keyword:
|
homogenization of cable systems |
| MSC:
|
35B05 |
| MSC:
|
35B27 |
| MSC:
|
35B35 |
| MSC:
|
35Q72 |
| MSC:
|
58D25 |
| MSC:
|
74H20 |
| MSC:
|
74H25 |
| MSC:
|
74K99 |
| MSC:
|
74Q10 |
| idZBL:
|
Zbl 1099.35151 |
| idMR:
|
MR2032146 |
| DOI:
|
10.1023/B:APOM.0000024518.38660.a3 |
| . |
| Date available:
|
2009-09-22T18:16:32Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134556 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
