An instability result in the theory of suspension bridges
| Autor: | Stefano Panizzi, C. Marchionna |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Applied Mathematics
010102 general mathematics Traction (engineering) Mechanics Suspension bridges Torsional instability Poincar´e map Hill equation 01 natural sciences Projection (linear algebra) 010101 applied mathematics Flexural strength Normal mode 0101 mathematics Galerkin method Suspension (vehicle) Constant (mathematics) Analysis Poincaré map Mathematics |
| Popis: | We consider a second order system of two ODEs which arises as a single mode Galerkin projection of the so-called fish-bone (Berchio and Gazzola, 2015) model of suspension bridges. The two unknowns represent flexural and torsional modes of vibration of the deck of the bridge. The elastic response of the cables is supposed to be asymptotically linear under traction, and asymptotically constant when compressed (a generalization of the slackening regime). We establish a condition depending on a set of 3 parameters under which the flexural motions are unstable provided the energy is sufficiently large. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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