Eigenvalue and Eigenvector Problems in Applied Mechanics

By: Sorin Vlase, Marin Marin, Andreas Ã?chsner

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Hardcover | 12 November 2018

At a Glance

Hardcover
268 Pages

Dimensions(cm)
23.5 x 15.49 x 1.6

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$229.00

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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.

Industry Reviews

"The book can serve as an introductory text for anybody interested in determining of eigenvalues and eigenvectors of mechanical systems, as well as frequencies and forms of free vibrations. Graduate students and researchers in mechanical and computational engineering will also find this book very useful." (V. Leontiev, zbMATH 1407.74002, 2019)

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