Eigenvalue and Eigenvector Problems in Applied Mechanics
β Scribed by Sorin Vlase, Marin Marin, Andreas Γchsner
- Publisher
- Springer International Publishing
- Year
- 2019
- Tongue
- English
- Leaves
- 262
- Series
- Advanced Structured Materials 96
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
β¦ 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.
β¦ Table of Contents
Front Matter ....Pages i-x
Vectors (Sorin Vlase, Marin Marin, Andreas Γchsner)....Pages 1-42
Matrices (Sorin Vlase, Marin Marin, Andreas Γchsner)....Pages 43-61
Quadratic Forms (Sorin Vlase, Marin Marin, Andreas Γchsner)....Pages 63-85
Rigid Body Mechanics (Sorin Vlase, Marin Marin, Andreas Γchsner)....Pages 87-139
Strain and Stress (Sorin Vlase, Marin Marin, Andreas Γchsner)....Pages 141-166
Modal Analysis (Sorin Vlase, Marin Marin, Andreas Γchsner)....Pages 167-237
Dynamical Systems (Sorin Vlase, Marin Marin, Andreas Γchsner)....Pages 239-256
β¦ Subjects
Engineering; Linear and Multilinear Algebras, Matrix Theory; Engineering Mathematics
π SIMILAR VOLUMES
<p>This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first,
A droll explication of techniques that can be applied to understand some of the most important engineering problems: those dealing with vibrations, buckling, and earthquake resistance. While containing substantial theory, this is an applied mathematics text that reads as if you are eavesdropping
Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions-the theoretic issue on solvability and the practical issue on computability. Both questions are difficult and challenging. In this text, the au