Control of Structures

This book is an outgrowth of several years of teaching and research of the two authors in the field of structural dynamics and control. The content of the book is based on structural dynamics, classical and modern control theory and involves also recent developments that took place with respect to the control of systems with distri­ buted masses. It is hoped that the book will serve the researcher and the practicing engineer in the areas of ci vi 1, mechanical and aeronautical engineering. It may also be of interest to applied mathematicians and to physicists. There is no question that the book can be used as a reference book for advanced courses in the above mentioned areas. The numerous examples will provide students with the necessary material for exercising themselves and for self­ studying. Thanks are due to Mrs. Cynthia Jones for preparing patiently and competently the typescript of the book. The services of Mrs. Linda Strouth, Solid Mechanics Division, University of Waterloo, rendered in producing the camera-ready copy of the book with great skill and devotion, are gratefully acknowledged. Special thanks go to Mr. Ir. Ad. C. Plaizier, at Martinus Nijhoff/Dr. W. Junk, who with much understanding and enthusiasm supervised the production of the book as Publisher. May the readers of it enjoy it, and may they have the fee ling of having gained something in turning to it and using it.

1 — Introduction to Structural Control.- 1.1 Introduction.- 1.2 Structural Control.- 1.3 Classification of Structural Control.- 1.4 Elaboration of Vibration Control.- 1.5 Active Control of ODOF Systems.- 1.6 The Control Devices.- 1.7 References.- Appendix A — Classical Control Theory.- A. 1 Introduction.- A. 2 Feedback Control Systems.- A. 3 Design of a Control System.- A. 4 References.- 2 — Morphology Of Structural Control.- 2.1 Preliminary Remarks.- 2.2 On the Basics and the Actual Nature of Structural Control Problems.- 2.3 Examples.- 2.4 The Modal Approach.- 2.5 References.- 3 — Automatic Active Control of Simple Span Bridges.- 3.1 Mathematical Models of Simple Span Bridges.- 3.2 Active Control Mechanisms in Bridges.- 3.3 Active Control by Classical Control Methods.- 3.4 Active Structural Control by Pole Assignment Method.- 3.5 Active Structural Control by Optimal Control Methods.- 3.6 Study of Secondary Effects.- 3.7. Optimal Control and Sensors Locations.- 3.8 References.- 4 — Automatic Active Control of Tall Buildings.- 4.1 Introduction.- 4.2 Building Response due to Wind Forces.- 4.3 Active Control of Tall Buildings.- 4.4 Control Using Active Tendons.- 4.5. Control Using Tuned Mass Dampers.- 4.6 Active Control By Means of Appendages.- 4.7 Stochastic Control of Tall Buildings.- 4.8 Control of Tall Buildings Taking Time Delay into Account.- 4.9 Feasibility of Active Control of Tall Buildings.- 4.10 Finding a Practical Control Mechanism for Tall Buildings.- 4.11 References.- 5 — A Review of Methods in the Control of Continuous Systems.- 5.1 Introduction.- 5.2 Considerations of Existence and Performance of a Control.- 5.3 A Closed Form Solution to the Control Problem.- 5.4 A Liapunov-Like Assessment of a Spillover-Safe Design.- 5.5 References.