Dynamical Inverse Problems: Theory and Application

1. Front Matter

   Pages i-ix

   PDF

2. Matrix Inverse Eigenvalue Problems

   • Graham M. L. Gladwell

   Pages 1-28

3. An Introduction to Classical Inverse Eigenvalue Problems

   • Antonino Morassi

   Pages 29-61

4. A Least Squares Functional for Solving Inverse Sturm-Liouville Problems

   • Norbert Röhrl

   Pages 63-83

5. Boundary Control Method in Dynamical Inverse Problems — An Introductory Course

   • Mikhail I. Belishev

   Pages 85-150

6. Dynamic Characterization and Damage Identification

   • Fabrizio Vestroni, Annamaria Pau

   Pages 151-178

7. Eigenvalue Assignment Problems in Vibration Using Measured Receptances: Passive Modification and Active Control

   • John E. Mottershead, Maryam G. Tehrani, Yitshak M. Ram

   Pages 179-202

8. Solution of Inverse Problems in Biomechanical Imaging

   • Assad A. Oberai, Paul E. Barbone

   Pages 203-222

The papers in this volume present an overview of the general aspects and practical applications of dynamic inverse methods, through the interaction of several topics, ranging from classical and advanced inverse problems in vibration, isospectral systems, dynamic methods for structural identification, active vibration control and damage detection, imaging shear stiffness in biological tissues, wave propagation, to computational and experimental aspects relevant for engineering problems.

• dynamical inverse problems
• inversion methods

From the book reviews:

“I found this text … quite enjoyable and filled with valuable information. I would recommend that researchers working in fields that rely on inverse spectral analysis read this book. … it was a joy to read, and it presented enough information to gain an appreciation of the topics covered. Experienced researchers will appreciate this text, and those who wish to learn the techniques of this field will get an introduction to relevant topics with the help of cited references.” (David R. Bergman, International Journal of Acoustics and Vibration, Vol. 19 (3), 2014)

“This volume is edited from the International Centre for Mechanical Sciences (CISM) course under the same title, held in Udine, Italy, on May 25–29, 2009. … It is intended for advanced graduate students and researchers in civil and mechanic engineering and applied mathematics.” (IEEE Control Systems Magazine, February, 2012)

• University of Waterloo, Canada

  Graham M. L. Gladwell

• University of Udine, Italy

  Antonino Morassi

Policies and ethics