Advanced Structural Dynamics and Active Control of Structures
Samenvatting
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. Meirovitch’s textbook [108] covers methods of structural dynamics (virtual work, d’Alambert’s principle, Hamilton’s principle, Lagrange’s and Hamilton’s equations, and modal analysis of structures) and control (pole placement methods, LQG design, and modal control). Ewins’s book [33] presents methods of modal testing of structures. Natke’s 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.
Specificaties
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List of Symbols Chapter 1 Introduction to Structures (examples, definition, and properties)
1.1 Examples
1.1.1 A Simple Structure
1.1.2 A 2D Truss
1.1.3 A 3D Truss
1.1.4 A Beam
1.1.5 The Deep Space Network Antenna
1.1.6 The International Space Station Structure
1.2 Definition
1.3 Properties Chapter 2 Standard Models (how to describe typical structures)
2.1 Models of a Linear System
2.1.1 State-Space Representation
2.1.2 Transfer Function
2.2 Second-Order Structural Models
2.2.1 Nodal Models
2.2.2 Modal Models
2.3 State-Space Structural Models
2.3.1 Nodal Models
2.3.2 Models in Modal Coordinates
2.3.3 Modal Models Chapter 3 Special Models (how to describe less-common structures)
3.1 Models with Rigid Body Modes
3.2 Models with Accelerometers
3.2.1 State-Space Representation
3.2.2 Second-Order Representation
3.2.3 Transfer Function
3.3 Models with Actuators
3.3.1 Model with Proof-Mass Actuators
3.3.2 Model with Inertial Actuators
3.4 Models with Small Non-Proportional Damping
3.5 Generalized Model
3.5.1 State-Space Representation
3.5.2 Transfer Function
3.6 Discrete-Time Models
3.6.1 State-Space Representation
3.6.2 Transfer Function Chapter 4 Controllability and Observability (how to excite and monitor a structure)
4.1 Definition and Properties
4.1.1 Continuous-Time Systems
4.1.2 Discrete-Time Systems
4.1.3. Relationship between Continuous- and Discrete-Time Grammians
4.2 Balanced Representation
4.3 Balanced Structures with Rigid Body Modes
4.4 Input and Output Gains
4.5 Controllability and Observability of a Structural Modal Model
4.5.1 Diagonally Dominant Grammians
4.5.2 Closed-Form Grammians
4.5.3 Approximately Balanced Structure in Modal Coordinates
4.6 Controllability and Observability of a Second-Order Modal Model
4.6.1 Grammians
4.6.2 Approximately Balanced Structure in Modal Coordinates
4.7 Three Ways to Compute Hankel Singular Values
4.8 &nb