Nonlinear Equations for Beams and Degenerate Plates with Piers. 1st ed. 2019

種類:

電子ブック

責任表示:

by Maurizio Garrione, Filippo Gazzola

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Garrione, Maurizio.
• Gazzola, Filippo.
• SpringerLink (Online service)

シリーズ名:

PoliMI SpringerBriefs ;

ISBN:

9783030302184 [3030302180]    

注記:

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.
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’s based on the physical models and by introducing the basic framework for the linear stationary problem. The linear analysis, in particular the behavior of the eigenvalues as the position of the piers varies, enables the authors to tackle the stability issue for some nonlinear evolution beam equations, with the aim of determining the “best position” of the piers within the beam in order to maximize its stability. The study continues with the analysis of a class of degenerate plate models. The torsional instability of the structure is investigated, and again, the optimal position of the piers in terms of stability is discussed. The stability analysis is carried out by means of both analytical tools and numerical experim

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