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Linear dynamical systems

Grigoriu, Mircea D.

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Linear dynamical systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear dynamical systems/ by Mircea D. Grigoriu.
Author:	Grigoriu, Mircea D.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	ix, 153 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Linear systems. -
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. - Cham :Springer International Publishing :2021. - ix, 153 p. :ill. (some col.), digital ;24 cm.

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:

560923
Linear systems.

LC Class. No.: QA402 / .G754 2021

Dewey Class. No.: 003.74

Linear dynamical systems
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245 1 0 $a Linear dynamical systems $h [electronic resource] / $c by Mircea D. Grigoriu.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a ix, 153 p. : $b ill. (some col.), digital ; $c 24 cm.
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 Linear systems. $3 560923
650 0 $a System theory. $3 525574
650 0 $a Differential equations, Linear. $3 708540
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650 0 $a Structural engineering. $3 661234
650 1 4 $a Classical and Continuum Physics. $3 3218450
650 2 4 $a Complexity. $3 893807
650 2 4 $a Mechanical Engineering. $3 891038
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 2 4 $a Statistical Theory and Methods. $3 891074
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950 $a Physics and Astronomy (SpringerNature-11651)