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

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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 
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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

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