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Eigenvalue and Eigenvector Problems in Applied Mechanics

Sorin Vlase, Andreas Öchsner, Marin Marin

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ca. 139,09
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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Maschinenbau, Fertigungstechnik

Beschreibung

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. 

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Schlagwörter

matrix theory, Matrix analysis, Eigenvalues, Continuum mechanics, Elastic stability, Strain and Stress Tensor, Dynamic stability, Rigid Body Dynamics, Mechanical Vibration, Quadratic Forms