國立虎尾科技大學 |

Mathematical Models of Higher Orders = Shells in Temperature Fields /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical Models of Higher Orders/ by Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko.
其他題名:	Shells in Temperature Fields /
作者:	Krysko, Vadim A.
其他作者:	Awrejcewicz, Jan.
面頁冊數:	XII, 470 p. 139 illus., 133 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical models. -
電子資源:	https://doi.org/10.1007/978-3-030-04714-6
ISBN:	9783030047146

Mathematical Models of Higher Orders = Shells in Temperature Fields /
Krysko, Vadim A.

Mathematical Models of Higher OrdersShells in Temperature Fields /[electronic resource] :by Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko. - 1st ed. 2019. - XII, 470 p. 139 illus., 133 illus. in color.online resource. - Advances in Mechanics and Mathematics,421571-8689 ;. - Advances in Mechanics and Mathematics,33.

1. Introduction -- 2. Mathematical Modeling of Nonlinear Dynamics of Continuous Mechanical Structures with Account of Internal and ExternalTemperature Fields -- 3. Nonclassical Models and Stability of Multi-Layer Orthotropic Thermoplastic Shells within Timoshenko Modified Hypotheses -- 4. General Problems of Diffraction in Theory of Design - Nonlinear Shells and Plates Locally Interacting with Temperature Fields -- 5. Stability of Flexible Shallow Shells Subjected to Transversal Load and Heat Flow -- 6. Mathematical Models of Multi-Layer Flexible Orthotropic Shells Under Temperature Field -- 7. Chaotic Dynamics of Closed Cylindrical Shells Under Local Transversal Load and Temperature Field (First Order Kirschhof–Love Approximation Model) -- Index.

This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.

ISBN: 9783030047146

Standard No.: 10.1007/978-3-030-04714-6doiSubjects--Topical Terms:

527886
Mathematical models.

LC Class. No.: TA342-343

Dewey Class. No.: 003.3

Mathematical Models of Higher Orders = Shells in Temperature Fields /
LDR:03068nam a22004095i 4500 001 1004461
003 DE-He213
005 20200629125526.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030047146 $9 978-3-030-04714-6
024 7 $a 10.1007/978-3-030-04714-6 $2 doi
035 $a 978-3-030-04714-6
050 4 $a TA342-343
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
072 7 $a TBJ $2 thema
082 0 4 $a 003.3 $2 23
100 1 $a Krysko, Vadim A. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1297952
245 1 0 $a Mathematical Models of Higher Orders $h [electronic resource] : $b Shells in Temperature Fields / $c by Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XII, 470 p. 139 illus., 133 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 Advances in Mechanics and Mathematics, $x 1571-8689 ; $v 42
505 0 $a 1. Introduction -- 2. Mathematical Modeling of Nonlinear Dynamics of Continuous Mechanical Structures with Account of Internal and ExternalTemperature Fields -- 3. Nonclassical Models and Stability of Multi-Layer Orthotropic Thermoplastic Shells within Timoshenko Modified Hypotheses -- 4. General Problems of Diffraction in Theory of Design - Nonlinear Shells and Plates Locally Interacting with Temperature Fields -- 5. Stability of Flexible Shallow Shells Subjected to Transversal Load and Heat Flow -- 6. Mathematical Models of Multi-Layer Flexible Orthotropic Shells Under Temperature Field -- 7. Chaotic Dynamics of Closed Cylindrical Shells Under Local Transversal Load and Temperature Field (First Order Kirschhof–Love Approximation Model) -- Index.
520 $a This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.
650 0 $a Mathematical models. $3 527886
650 0 $a Statistical physics. $3 528048
650 0 $a Partial differential equations. $3 1102982
650 1 4 $a Mathematical Modeling and Industrial Mathematics. $3 669172
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 1113607
650 2 4 $a Partial Differential Equations. $3 671119
700 1 $a Awrejcewicz, Jan. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 670931
700 1 $a Zhigalov, Maxim V. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1297953
700 1 $a Kirichenko, Valeriy F. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1297954
700 1 $a Krysko, Anton V. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1297955
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030047139
776 0 8 $i Printed edition: $z 9783030047153
830 0 $a Advances in Mechanics and Mathematics, $x 1571-8689 ; $v 33 $3 1261614
856 4 0 $u https://doi.org/10.1007/978-3-030-04714-6
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)