Eigenvalue and Eigenvector Problems in Applied Mechanics

This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar...

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Bibliographic Details
Main Authors: Vlase, Sorin (Author), Marin, Marin (Author), Öchsner, Andreas (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Series:Advanced Structured Materials, 96
Subjects:
Mechanics, Applied.
Solids.
Algebras, Linear.
Engineering mathematics.
Solid Mechanics.
Linear Algebra.
Engineering Mathematics.
Online Access:Full-text access
Description
Summary:This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications.
Physical Description:X, 256 p. 93 illus., 10 illus. in color. online resource.
ISBN:9783030009915
ISSN:1869-8441 ;
DOI:10.1007/978-3-030-00991-5

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