Nonlinear Equations for Beams and Degenerate Plates with Piers

DOI10.1007/978-3-030-30218-4zbMath1444.35006OpenAlexW2983610946MaRDI QIDQ5204224

Gazzola, Filippo, Maurizio Garrione

Publication date: 3 December 2019

Published in: SpringerBriefs in Applied Sciences and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-30218-4

zbMATH Keywords

torsional instabilitystability of suspension bridgesoptimal position of the piers

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability in context of PDEs (35B35) Plates (74K20) Degenerate hyperbolic equations (35L80) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

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Beams with an intermediate pier: spectral properties, asymmetry and stability ⋮ Asymptotic finite-dimensional approximations for a class of extensible elastic systems ⋮ Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings ⋮ Local well posedness for a system of quasilinear PDEs modelling suspension bridges ⋮ Suspension bridge model with laminated beam ⋮ A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges ⋮ Linear theory for beams with intermediate piers ⋮ Sharp ultimate velocity bounds for the general solution of some linear second order evolution equation with damping and bounded forcing ⋮ Long-time behavior of partially damped systems modeling degenerate plates with piers ⋮ Eight(y) mathematical questions on fluids and structures ⋮ Uniform decay rates of a coupled suspension bridges with temperature ⋮ Stability analysis in some strongly prestressed rectangular plates ⋮ On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam ⋮ The role of boundary conditions in the torsional instability of suspension bridges

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