Geodesic
Coupled string-beam equations as a model of suspension bridges
Applications of Mathematics, Tome 44 (1999) no. 2, pp. 97-142.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.1023/A:1022257304738
Classification : 35B10, 35Q72, 70K30, 73K03, 73K05, 74H20, 74H25, 74H45, 74K10
Keywords: nonlinearly coupled string-beam equation; periodic oscillations; jumping nonlinearities; degree theory 
@article{10_1023_A_1022257304738,
     author = {Dr\'abek, Pavel and Leinfelder, Herbert and Taj\v{c}ov\'a, Gabriela},
     title = {Coupled string-beam equations as a model of suspension bridges},
     journal = {Applications of Mathematics},
     pages = {97--142},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {1999},
     doi = {10.1023/A:1022257304738},
     mrnumber = {1667633},
     zbl = {1059.74522},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022257304738/}
}
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
SP  - 97
EP  - 142
VL  - 44
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1022257304738/
DO  - 10.1023/A:1022257304738
LA  - en
ID  - 10_1023_A_1022257304738
ER  - 
%0 Journal Article
%A Drábek, Pavel
%A Leinfelder, Herbert
%A Tajčová, Gabriela
%T Coupled string-beam equations as a model of suspension bridges
%J Applications of Mathematics
%D 1999
%P 97-142
%V 44
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1022257304738/
%R 10.1023/A:1022257304738
%G en
%F 10_1023_A_1022257304738
Drábek, Pavel; Leinfelder, Herbert; Tajčová, Gabriela. Coupled string-beam equations as a model of suspension bridges. Applications of Mathematics, Tome 44 (1999) no. 2, pp. 97-142. doi : 10.1023/A:1022257304738. http://geodesic.mathdoc.fr/articles/10.1023/A:1022257304738/

Cité par Sources :