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- W3037059194 abstract "We deal with beams with an intermediate pier, motivated by the investigation of the stability of suspension bridges with two spans. First, we provide a complete spectral theorem for the associated linear stationary fourth-order problem with hinged boundary conditions, determining the eigenvalues and discussing their optimality (in a suitable sense) in terms of the position of the pier. Then, we consider a related nonlinear model with a restoring force of superquadratic displacement type, discussing its stability both from a linear and from a suitable nonlinear point of view. We determine the position of the pier maximizing the stability of the structure and we compare the energy thresholds of instability under hinged, clamped or mixed (left-clamped and right-hinged) boundary conditions. In any case, we highlight that an asymmetric structure is in general more stable." @default.
- W3037059194 created "2020-07-02" @default.
- W3037059194 creator A5090064695 @default.
- W3037059194 date "2021-01-01" @default.
- W3037059194 modified "2023-10-16" @default.
- W3037059194 title "Beams with an intermediate pier: Spectral properties, asymmetry and stability" @default.
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- W3037059194 doi "https://doi.org/10.3934/mine.2021016" @default.
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