Titlebook: Nonlinear Equations for Beams and Degenerate Plates with Piers; Maurizio Garrione,Filippo Gazzola Book 2019 The Editor(s) (if applicable)

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2191-530X ps a full theory for hinged beams and degenerate plates with multiple intermediate piers with the final purpose of understanding the stability of suspension bridges. New models are proposed and new tools are provided for the stability analysis. The book opens by deriving the PDE’s based on the physi

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Book 2019stability of suspension bridges. New models are proposed and new tools are provided for the stability analysis. The book opens by deriving the PDE’s based on the physical models and by introducing the basic framework for the linear stationary problem. The linear analysis, in particular the behavior

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978-3-030-30217-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Maurizio Garrione,Filippo GazzolaFull theory for nonlinear plates with intermediate piers.New models for suspension bridges.New tools for stability analysis

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Functional Setting and Vibrating Modes for Symmetric Beams,showing the possible loss of regularity of the solutions, due to the presence of the piers. Then, a spectral result characterizing the eigenvalues is stated and the explicit form of the associated eigenfunctions is provided, together with their nodal properties.

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Nonlinear Evolution Equations for Degenerate Plates,cases of rigid and extensible hangers are taken into account, determining again the optimal position of the piers in terms of linear and nonlinear stability, with particular emphasis on the torsional modes.