國立虎尾科技大學 |

Linear Dynamical Systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Linear Dynamical Systems/ by Mircea D. Grigoriu.
Author:	Grigoriu, Mircea D.
Description:	IX, 153 p. 40 illus., 24 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Continuum physics. -
Online resource:	https://doi.org/10.1007/978-3-030-64552-6
ISBN:	9783030645526

Linear Dynamical Systems
Grigoriu, Mircea D.

Linear Dynamical Systems[electronic resource] /by Mircea D. Grigoriu. - 1st ed. 2021. - IX, 153 p. 40 illus., 24 illus. in color.online resource.

Chapter 1. Introduction -- Chapter 2. Single degree of freedom (SDOF) systems -- Chapter 3. Eigenvalue problem -- Chapter 4. Multi-degree of freedom (MDOF) systems -- Chapter 5. Continuous systems.

This textbook provides a concise, clear, and rigorous presentation of the dynamics of linear systems that delivers the necessary tools for the analysis and design of mechanical/ structural systems, regardless of their complexity. The book is written for senior undergraduate and first year graduate students as well as engineers working on the design of mechanical/structural systems subjected to dynamic actions, such as wind/earthquake engineers and mechanical engineers working on wind turbines. Professor Grigoriu's lucid presentation maximizes student understanding of the formulation and the solution of linear systems subjected to dynamic actions, and provides a clear distinction between problems of practical interest and their special cases. Based on the author's lecture notes from courses taught at Cornell University, the material is class-tested over many years and ideal as a core text for a range of classes in mechanical, civil, and geotechnical engineering, as well as for self-directed learning by practitioners in the field. Follows a coherent introduction of topics from the physics, constitutive equations, and general formulations and solutions of problems of practical interest through special cases of these problems obtained by specializing general results Adopts a top-down approach enabling a compact book that covers all relevant topics on the dynamics of linear systems, where special cases of problems of practical interest cannot be interpreted as new problems which require different solutions Reinforces readers' grasp of theoretical considerations with numerical illustrations Includes less familiar mathematical tools used in some derivations in appendices Treats solution of finite dimensional/continuous systems as elements of the vector spaces spanned by the eigenvectors/eigenfunctions corresponding to the system mechanical properties.

ISBN: 9783030645526

Standard No.: 10.1007/978-3-030-64552-6doiSubjects--Topical Terms:

1255031
Continuum physics.

LC Class. No.: QC6.4.C6

Dewey Class. No.: 531

Linear Dynamical Systems
LDR:03394nam a22003975i 4500 001 1052565
003 DE-He213
005 20211018131505.0
007 cr nn 008mamaa
008 220103s2021 sz | s |||| 0|eng d
020 $a 9783030645526 $9 978-3-030-64552-6
024 7 $a 10.1007/978-3-030-64552-6 $2 doi
035 $a 978-3-030-64552-6
050 4 $a QC6.4.C6
072 7 $a PHD $2 bicssc
072 7 $a SCI041000 $2 bisacsh
072 7 $a PHD $2 thema
082 0 4 $a 531 $2 23
100 1 $a Grigoriu, Mircea D. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1357296
245 1 0 $a Linear Dynamical Systems $h [electronic resource] / $c by Mircea D. Grigoriu.
250 $a 1st ed. 2021.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a IX, 153 p. 40 illus., 24 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
505 0 $a Chapter 1. Introduction -- Chapter 2. Single degree of freedom (SDOF) systems -- Chapter 3. Eigenvalue problem -- Chapter 4. Multi-degree of freedom (MDOF) systems -- Chapter 5. Continuous systems.
520 $a This textbook provides a concise, clear, and rigorous presentation of the dynamics of linear systems that delivers the necessary tools for the analysis and design of mechanical/ structural systems, regardless of their complexity. The book is written for senior undergraduate and first year graduate students as well as engineers working on the design of mechanical/structural systems subjected to dynamic actions, such as wind/earthquake engineers and mechanical engineers working on wind turbines. Professor Grigoriu's lucid presentation maximizes student understanding of the formulation and the solution of linear systems subjected to dynamic actions, and provides a clear distinction between problems of practical interest and their special cases. Based on the author's lecture notes from courses taught at Cornell University, the material is class-tested over many years and ideal as a core text for a range of classes in mechanical, civil, and geotechnical engineering, as well as for self-directed learning by practitioners in the field. Follows a coherent introduction of topics from the physics, constitutive equations, and general formulations and solutions of problems of practical interest through special cases of these problems obtained by specializing general results Adopts a top-down approach enabling a compact book that covers all relevant topics on the dynamics of linear systems, where special cases of problems of practical interest cannot be interpreted as new problems which require different solutions Reinforces readers' grasp of theoretical considerations with numerical illustrations Includes less familiar mathematical tools used in some derivations in appendices Treats solution of finite dimensional/continuous systems as elements of the vector spaces spanned by the eigenvectors/eigenfunctions corresponding to the system mechanical properties.
650 0 $a Continuum physics. $3 1255031
650 0 $a Computational complexity. $3 527777
650 0 $a Mechanical engineering. $3 557493
650 0 $a Dynamics. $3 592238
650 0 $a Ergodic theory. $3 672355
650 0 $a Vibration. $3 595749
650 0 $a Dynamical systems. $3 1249739
650 0 $a Statistics . $3 1253516
650 1 4 $a Classical and Continuum Physics. $3 1141497
650 2 4 $a Complexity. $3 669595
650 2 4 $a Mechanical Engineering. $3 670827
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Vibration, Dynamical Systems, Control. $3 670825
650 2 4 $a Statistical Theory and Methods. $3 671396
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030645519
776 0 8 $i Printed edition: $z 9783030645533
776 0 8 $i Printed edition: $z 9783030645540
856 4 0 $u https://doi.org/10.1007/978-3-030-64552-6
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)