Nonlinear Equations for Beams and Degenerate Plates with Piers

• Main Authors: Garrione, Maurizio (Author, http://id.loc.gov/vocabulary/relators/aut), Gazzola, Filippo (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: PoliMI SpringerBriefs,
• Subjects: Differential equations.; Partial differential equations.; Ordinary Differential Equations.; Partial Differential Equations.

This book develops 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'...

Table of Contents:

• 1 The physical models
• 2 Functional setting and vibrating modes for symmetric beams
• 3 Nonlinear evolution equations for symmetric beams
• 4 Nonlinear evolution equations for degenerate plates
• 5 Final comments and perspectives.