| 书目名称 | Nonlinear Equations for Beams and Degenerate Plates with Piers |
| 编辑 | Maurizio Garrione,Filippo Gazzola |
| 视频video | |
| 概述 | Full theory for nonlinear plates with intermediate piers.New models for suspension bridges.New tools for stability analysis |
| 丛书名称 | SpringerBriefs in Applied Sciences and Technology |
| 图书封面 |  |
| 描述 | .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 experiments. Several open problems and possible future developments are presented. The qualitative analysis provided in the book should be seen as the starting point for a precise qu |
| 出版日期 | Book 2019 |
| 关键词 | Beams; Degenerate plates; Intermediate piers; Optimal position; Nonlinear initial-boundary value problem |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-30218-4 |
| isbn_softcover | 978-3-030-30217-7 |
| isbn_ebook | 978-3-030-30218-4Series ISSN 2191-530X Series E-ISSN 2191-5318 |
| issn_series | 2191-530X |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:45:28
