Inverse Problems in Vibration

• Corporate Author: SpringerLink (Online service)
• Other Authors: Gladwell, Graham M. L. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2005.
• Edition: Second Edition.
• Series: Solid Mechanics and Its Applications, 119
• Subjects: Engineering.; Mathematical analysis.; Analysis (Mathematics).; Mechanics.; Vibration.; Dynamical systems.; Dynamics.; Vibration, Dynamical Systems, Control.; Analysis.

In the first, 1986, edition of this book, inverse problems in vibration were interpreted strictly: problems concerning the reconstruction of a unique, undamped vibrating system, of a specified type, from specified vibratory behaviour, particularly specified natural frequencies and/or natural mode sh...

Table of Contents:

• Matrix Analysis
• Vibrations of Discrete Systems
• Jacobi Matrices
• Inverse Problems for Jacobi Systems
• Inverse Problems for Some More General Systems
• Positivity
• Isospectral Systems
• The Discrete Vibrating Beam
• Discrete Modes and Nodes
• Green’s Functions and Integral Equations
• Inversion of Continuous Second-Order Systems
• A Miscellany of Inverse Problems
• The Euler-Bernoulli Beam
• Continuous Modes and Nodes
• Damage Identification.