Eigenvalue and Eigenvector Problems in Applied Mechanics [electronic resource] /
Vlase, Sorin.author.
Marin, Marin.author.
Öchsner, Andreas.author.
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.
Quadratic Forms -- Rigid Body Dynamics -- Continuum Mechanics. Strain and Stress Tensor -- Modal Analysis -- Stability (Elastic and Dynamic) -- Dynamical Systems.
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.
Mechanics.
Mechanics, Applied.
Matrix theory.
Algebra.
Engineering mathematics.
Solid Mechanics.
Linear and Multilinear Algebras, Matrix Theory.
Engineering Mathematics.