語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
到查詢結果
[ subject:"Evolution equations, Nonlinear." ]
切換:
標籤
|
MARC模式
|
ISBD
Nonlinear equations for beams and de...
~
Garrione, Maurizio.
FindBook
Google Book
Amazon
博客來
Nonlinear equations for beams and degenerate plates with piers
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Nonlinear equations for beams and degenerate plates with piers/ by Maurizio Garrione, Filippo Gazzola.
作者:
Garrione, Maurizio.
其他作者:
Gazzola, Filippo.
出版者:
Cham :Springer International Publishing : : 2019.,
面頁冊數:
xiii, 103 p. :ill. (some col.), digital ;24 cm.
內容註:
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.
Contained By:
Springer eBooks
標題:
Evolution equations, Nonlinear. -
電子資源:
https://doi.org/10.1007/978-3-030-30218-4
ISBN:
9783030302184
Nonlinear equations for beams and degenerate plates with piers
Garrione, Maurizio.
Nonlinear equations for beams and degenerate plates with piers
[electronic resource] /by Maurizio Garrione, Filippo Gazzola. - Cham :Springer International Publishing :2019. - xiii, 103 p. :ill. (some col.), digital ;24 cm. - PoliMI SpringerBriefs,2282-2577. - PoliMI SpringerBriefs..
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 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 quantitative study of more complete models, taking into account the action of aerodynamic forces. This book is intended for a two-fold audience. It is addressed both to mathematicians working in the field of Differential Equations, Nonlinear Analysis and Mathematical Physics, due to the rich number of challenging mathematical questions which are discussed and left as open problems, and to Engineers interested in mechanical structures, since it provides the theoretical basis to deal with models for the dynamics of suspension bridges with intermediate piers. More generally, it may be enjoyable for readers who are interested in the application of Mathematics to real life problems.
ISBN: 9783030302184
Standard No.: 10.1007/978-3-030-30218-4doiSubjects--Topical Terms:
604102
Evolution equations, Nonlinear.
LC Class. No.: QA377 / .G377 2019
Dewey Class. No.: 515.355
Nonlinear equations for beams and degenerate plates with piers
LDR
:03180nmm a2200337 a 4500
001
2219045
003
DE-He213
005
20200130164657.0
006
m d
007
cr nn 008maaau
008
201126s2019 sz s 0 eng d
020
$a
9783030302184
$q
(electronic bk.)
020
$a
9783030302177
$q
(paper)
024
7
$a
10.1007/978-3-030-30218-4
$2
doi
035
$a
978-3-030-30218-4
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA377
$b
.G377 2019
072
7
$a
PBKJ
$2
bicssc
072
7
$a
MAT007000
$2
bisacsh
072
7
$a
PBKJ
$2
thema
082
0 4
$a
515.355
$2
23
090
$a
QA377
$b
.G241 2019
100
1
$a
Garrione, Maurizio.
$3
3453999
245
1 0
$a
Nonlinear equations for beams and degenerate plates with piers
$h
[electronic resource] /
$c
by Maurizio Garrione, Filippo Gazzola.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2019.
300
$a
xiii, 103 p. :
$b
ill. (some col.), digital ;
$c
24 cm.
490
1
$a
PoliMI SpringerBriefs,
$x
2282-2577
505
0
$a
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.
520
$a
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 quantitative study of more complete models, taking into account the action of aerodynamic forces. This book is intended for a two-fold audience. It is addressed both to mathematicians working in the field of Differential Equations, Nonlinear Analysis and Mathematical Physics, due to the rich number of challenging mathematical questions which are discussed and left as open problems, and to Engineers interested in mechanical structures, since it provides the theoretical basis to deal with models for the dynamics of suspension bridges with intermediate piers. More generally, it may be enjoyable for readers who are interested in the application of Mathematics to real life problems.
650
0
$a
Evolution equations, Nonlinear.
$3
604102
650
0
$a
Plate girder bridges
$x
Mathematics.
$3
3454000
650
1 4
$a
Ordinary Differential Equations.
$3
891264
650
2 4
$a
Partial Differential Equations.
$3
890899
700
1
$a
Gazzola, Filippo.
$3
1074061
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer eBooks
830
0
$a
PoliMI SpringerBriefs.
$3
3380612
856
4 0
$u
https://doi.org/10.1007/978-3-030-30218-4
950
$a
Mathematics and Statistics (Springer-11649)
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9393904
電子資源
11.線上閱覽_V
電子書
EB QA377 .G377 2019
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入