Geodesic
Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems
Applications of Mathematics, Tome 49 (2004) no. 1, pp. 1-38.

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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.
DOI : 10.1023/B:APOM.0000024518.38660.a3
Classification : 35B05, 35B27, 35B35, 35Q72, 58D25, 74H20, 74H25, 74K99, 74Q10
Keywords: cable stayed bridges; existence; uniqueness; continuous dependence on data; homogenization of cable systems 
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Malík, Josef. Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems. Applications of Mathematics, Tome 49 (2004) no. 1, pp. 1-38. doi : 10.1023/B:APOM.0000024518.38660.a3. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000024518.38660.a3/

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