Article
MSC:
35B05,
35B27,
35B35,
35Q72,
58D25,
74H20,
74H25,
74K99,
74Q10 | MR 2032146 | Zbl 1099.35151 | DOI: 10.1023/B:APOM.0000024518.38660.a3
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Keywords:
cable stayed bridges; existence; uniqueness; continuous dependence on data; homogenization of cable systems
cable stayed bridges; existence; uniqueness; continuous dependence on data; homogenization of cable systems
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.
References:
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