國立虎尾科技大學 |

Stability of Elastic Multi-Link Structures

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Stability of Elastic Multi-Link Structures/ by Kaïs Ammari, Farhat Shel.
作者:	Ammari, Kaïs.
其他作者:	Shel, Farhat.
面頁冊數:	VIII, 141 p. 16 illus., 12 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Graph Theory. -
電子資源:	https://doi.org/10.1007/978-3-030-86351-7
ISBN:	9783030863517

Stability of Elastic Multi-Link Structures
Ammari, Kaïs.

Stability of Elastic Multi-Link Structures[electronic resource] /by Kaïs Ammari, Farhat Shel. - 1st ed. 2022. - VIII, 141 p. 16 illus., 12 illus. in color.online resource. - SpringerBriefs in Mathematics,2191-8201. - SpringerBriefs in Mathematics,.

1. Preliminaries -- 2. Exponential stability of a network of elastic and thermoelastic materials -- 3. Exponential stability of a network of beams -- 4. Stability of a tree-shaped network of strings and beams -- 5. Feedback stabilization of a simplified model of fluid-structure interaction on a tree -- 6. Stability of a graph of strings with local Kelvin-Voigt damping -- Bibliography. .

This brief investigates the asymptotic behavior of some PDEs on networks. The structures considered consist of finitely interconnected flexible elements such as strings and beams (or combinations thereof), distributed along a planar network. Such study is motivated by the need for engineers to eliminate vibrations in some dynamical structures consisting of elastic bodies, coupled in the form of chain or graph such as pipelines and bridges. There are other complicated examples in the automotive industry, aircraft and space vehicles, containing rather than strings and beams, plates and shells. These multi-body structures are often complicated, and the mathematical models describing their evolution are quite complex. For the sake of simplicity, this volume considers only 1-d networks.

ISBN: 9783030863517

Standard No.: 10.1007/978-3-030-86351-7doiSubjects--Topical Terms:

786670
Graph Theory.

LC Class. No.: QA370-380

Dewey Class. No.: 515.35

Stability of Elastic Multi-Link Structures
LDR:02604nam a22004095i 4500 001 1092818
003 DE-He213
005 20220116190704.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783030863517 $9 978-3-030-86351-7
024 7 $a 10.1007/978-3-030-86351-7 $2 doi
035 $a 978-3-030-86351-7
050 4 $a QA370-380
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.35 $2 23
100 1 $a Ammari, Kaïs. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1260767
245 1 0 $a Stability of Elastic Multi-Link Structures $h [electronic resource] / $c by Kaïs Ammari, Farhat Shel.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a VIII, 141 p. 16 illus., 12 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematics, $x 2191-8201
505 0 $a 1. Preliminaries -- 2. Exponential stability of a network of elastic and thermoelastic materials -- 3. Exponential stability of a network of beams -- 4. Stability of a tree-shaped network of strings and beams -- 5. Feedback stabilization of a simplified model of fluid-structure interaction on a tree -- 6. Stability of a graph of strings with local Kelvin-Voigt damping -- Bibliography. .
520 $a This brief investigates the asymptotic behavior of some PDEs on networks. The structures considered consist of finitely interconnected flexible elements such as strings and beams (or combinations thereof), distributed along a planar network. Such study is motivated by the need for engineers to eliminate vibrations in some dynamical structures consisting of elastic bodies, coupled in the form of chain or graph such as pipelines and bridges. There are other complicated examples in the automotive industry, aircraft and space vehicles, containing rather than strings and beams, plates and shells. These multi-body structures are often complicated, and the mathematical models describing their evolution are quite complex. For the sake of simplicity, this volume considers only 1-d networks.
650 2 4 $a Graph Theory. $3 786670
650 2 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Dynamical Systems. $3 1366074
650 1 4 $a Differential Equations. $3 681826
650 0 $a Graph theory. $3 527884
650 0 $a Group theory. $3 527791
650 0 $a Dynamical systems. $3 1249739
650 0 $a Differential equations. $3 527664
700 1 $a Shel, Farhat. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1400631
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030863500
776 0 8 $i Printed edition: $z 9783030863524
776 0 8 $i Printed edition: $z 9783030863531
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-3-030-86351-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)