Beams with an intermediate pier: spectral properties, asymmetry and stability

DOI10.3934/mine.2021016zbMath1505.74115OpenAlexW3037059194MaRDI QIDQ2167453

Maurizio Garrione

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mine.2021016

zbMATH Keywords

eigenvaluemixed boundary conditionsspectral theoremsuspension bridge modellinear stationary fourth-order problemoptimal pier placement

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Optimization of other properties in solid mechanics (74P10)

Related Items (2)

A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges ⋮ On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam

Cites Work

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• Picard potential and Hill's equation on a torus
• Loss of energy concentration in nonlinear evolution beam equations
• Mathematical models for suspension bridges. Nonlinear structural instability
• On a Hill’s Equation with Two Gaps in Its Spectrum
• Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation
• Unstable simple modes of the nonlinear string
• Linear theory for beams with intermediate piers
• Nonlinear Equations for Beams and Degenerate Plates with Piers

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