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Eigenvalue and Eigenvector Problems in Applied Mechanics

  • Sorin Vlase
  • Marin Marin
  • Andreas Öchsner

Part of the Advanced Structured Materials book series (STRUCTMAT, volume 96)

Table of contents

  1. Front Matter
    Pages i-x
  2. Sorin Vlase, Marin Marin, Andreas Öchsner
    Pages 1-42
  3. Sorin Vlase, Marin Marin, Andreas Öchsner
    Pages 43-61
  4. Sorin Vlase, Marin Marin, Andreas Öchsner
    Pages 63-85
  5. Sorin Vlase, Marin Marin, Andreas Öchsner
    Pages 87-139
  6. Sorin Vlase, Marin Marin, Andreas Öchsner
    Pages 141-166
  7. Sorin Vlase, Marin Marin, Andreas Öchsner
    Pages 167-237
  8. Sorin Vlase, Marin Marin, Andreas Öchsner
    Pages 239-256

About this book

Introduction

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.


Keywords

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

Authors and affiliations

  • Sorin Vlase
    • 1
  • Marin Marin
    • 2
  • Andreas Öchsner
    • 3
  1. 1.Department of Mechanical EngineeringTransilvania University of BraşovBraşovRomania
  2. 2.Department of Mathematics and Computer ScienceTransilvania University of BraşovBraşovRomania
  3. 3.Fakultät MaschinenbauEsslingen University of Applied SciencesEsslingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-00991-5
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-030-00990-8
  • Online ISBN 978-3-030-00991-5
  • Series Print ISSN 1869-8433
  • Series Online ISSN 1869-8441
  • Buy this book on publisher's site
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