Advanced Structural Dynamics and Active Control of Structures

Science is for those who learn; poetry for those who know. Joseph Roux This book is a continuation of my previous book, Dynamics and Control of Structures [44]. The expanded book includes three additional chapters and an additional appendix: Chapter 3, Special Models; Chapter 8, Modal Actuators and Sensors; and Chapter 9, System Identification. Other chapters have been significantly revised and supplemented with new topics, including discrete-time models of structures, limited-time and -frequency grammians and reduction, almo- balanced modal models, simultaneous placement of sensors and actuators, and structural damage detection. The appendices have also been updated and expanded. Appendix A consists of thirteen new Matlab programs. Appendix B is a new addition and includes eleven Matlab programs that solve examples from each chapter. In Appendix C model data are given. Several books on structural dynamics and control have been published. Meirovitchs textbook [108] covers methods of structural dynamics (virtual work, dAlamberts principle, Hamiltons principle, Lagranges and Hamiltons equations, and modal analysis of structures) and control (pole placement methods, LQG design, and modal control). Ewinss book [33] presents methods of modal testing of structures. Natkes book [111] on structural identification also contains excellent material on structural dynamics. Fuller, Elliot, and Nelson [40] cover problems of structural active control and structural acoustic control.