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Eigenvalue and Eigenvector Problems in Applied Mechanics

✍ Scribed by Sorin Vlase, Marin Marin, Andreas Γ–chsner


Publisher
Springer International Publishing
Year
2019
Tongue
English
Leaves
262
Series
Advanced Structured Materials 96
Edition
1st ed.
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


Front Matter ....Pages i-x
Vectors (Sorin Vlase, Marin Marin, Andreas Γ–chsner)....Pages 1-42
Matrices (Sorin Vlase, Marin Marin, Andreas Γ–chsner)....Pages 43-61
Quadratic Forms (Sorin Vlase, Marin Marin, Andreas Γ–chsner)....Pages 63-85
Rigid Body Mechanics (Sorin Vlase, Marin Marin, Andreas Γ–chsner)....Pages 87-139
Strain and Stress (Sorin Vlase, Marin Marin, Andreas Γ–chsner)....Pages 141-166
Modal Analysis (Sorin Vlase, Marin Marin, Andreas Γ–chsner)....Pages 167-237
Dynamical Systems (Sorin Vlase, Marin Marin, Andreas Γ–chsner)....Pages 239-256

✦ Subjects


Engineering; Linear and Multilinear Algebras, Matrix Theory; Engineering Mathematics


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