50th Volume in the series Solid Mechanics and Its Applications

Vibration Control of Active Structures

An Introduction (Second edition)

by André Preumont

Department of Mechanical Engineering and Robotics, Université Libre de Bruxelles, Belgium

This text is an introduction to the feedback control of lightly damped flexible structures, the emphasis is placed on basic issues such as actuator and sensor selection, placement and dynamics, and actual implementation for solving practical problems.

The book consists of 11 chapters; in chapters 2 to 5, the open-loop transfer functions of various active structures are derived from their constitutive equations; the discussion includes a truss and sandwich beams and plates with embedded piezoelectric actuators and sensors. The virtues of collocated actuator-sensor configurations are pointed out and used to develop active damping with guaranteed stability. Chapters 6 to 8 are devoted to the model-based control of SISO systems; optimal control is developed graphically using the symmetric root locus; the gain-phase relationship is discussed and the design tradeoffs are explained in the frequency domain. The issues of robustness with respect to the parametric uncertainty and the spillover instability are examined. After two short chapters on controllability (ch. 9) ans stability (ch. 10), the book concludes with a set of applications to active damping and precision positioning of a set of aerospace, mechanical and civil engineering structures.

As compared to the first edition, this book contains more than 100 additional pages, with new chapters devoted to Active vibration isolation, Semi-active control and Tendon control of cable-structures. The section on piezoelectric shells has been expanded and the chapter on applications has also been enriched by topics in vibro-acoustics.

The book is intended for structural engineers who want to acquire some background in vibration control; it can be used as a textbook for a graduate course on vibration control or active structures. The text is supplemented with 98 problems.

Contents:

Preface to the second edition.  Preface to the first edition.  1. Introduction.  2. Some concepts of structural dynamics.  3. Actuators, piezoelectric materials, and active structures.  4. Collocated versus non-collocated control.  5. Active damping with collocated pairs.  6. Active vibration isolation.  7. State space approach.  8. Analysis and synthesis in the frequency domain.  9. Optimal control.  10. Controllability and Observability.  11. Stability.  12. Semi-active control.  13. Applications.  14. Tendon Control of Cable Structures.  Bibliography.  Index.

February 2002, 385 pp.

Hardbound, ISBN 1-4020-0496-6