Advanced Structural Dynamics and Active Control of Structures

Preface
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