Matrix Perturbation Theory in Structural Dynamic Design

A matrix perturbation theory in structural dynamic design Is presented In this Book 。The theory covers a broad spectrum of subjects ，the perturbation methods of the distinct eigenvalues and repeated/close eigenvalues ，the perturbation methods of the complex modes of systems with real unsymmetric matrices ，the perturbation methods of the defective/near defective systems ，random eigenproblem and the interval eigenproblem for the uncertain structures 。The contents synthesized the most recent research results in 桃核、 structural dynamics。Numerical examples are provided to illustrate the applications of the theory in this book

Contents

Preface
Chapter1 Finite Element Method for Vibration Analysis of Structures
Chapter2 Matrix Perturbation Theory for Distinct Eigenvalues
Chapter3 Matrix Perturbation Theory for Multiple Eigenvalues
Chapter4 Matrix Perturbation Theory for Close Eigenvalues
Chapter5 Matrix Perturbation Theory for Complex Modes
Chapter6 Matrix Perturbation Theory for Linear Vibration Defective Systems
Chapter7 Matrix Perturbation Theory for Near Defective Systems
Chapter8 Random Eigenvalue Analysis of Structures with Random Parameters
Chapter9 Matrix Perturbation Theory for Interval Eigenproblem
References