Eigenvalue and Eigenvector Problems in Applied Mechanics

• Main Authors: Vlase, Sorin (Author, http://id.loc.gov/vocabulary/relators/aut), Marin, Marin (http://id.loc.gov/vocabulary/relators/aut), Öchsner, Andreas (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Advanced Structured Materials, 96
• Subjects: Mechanics.; Mechanics, Applied.; Matrix theory.; Algebra.; Engineering mathematics.; Solid Mechanics.; Linear and Multilinear Algebras, Matrix Theory.; Engineering Mathematics.

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...

Table of Contents:

• Quadratic Forms
• Rigid Body Dynamics
• Continuum Mechanics. Strain and Stress Tensor
• Modal Analysis
• Stability (Elastic and Dynamic)
• Dynamical Systems.