Table of Contents

1. Preface to the third edition.
2.    Preface to the second edition.
3.    Preface to the first edition.
4.    1 Introduction.
5.    1.1 Active versus passive.
6.    1.2 Vibration suppression.
7.    1.3 Smart materials and structures.
8.    1.4 Control strategies.
9.    1.4.1 Feedback.
10.    1.4.2 Feedforward.
11.    1.5 The various steps of the design.
12.    1.6 Plant description, error and control budget.
13.    1.7 Readership and Organization of the book.
14.    1.8 References.
15.    1.9 Problems.
16.    2 Some concepts in structural dynamics.
17.   2.1 Introduction.
18.    2.2 Equation of motion of a discrete system.
19.    2.3 Vibration modes.
20.    2.4 Modal decomposition.
21.    2.4.1 Structure without rigid body modes.
22.    2.4.2 Dynamic °exibility matrix.
23.    2.4.3 Structure with rigid body modes.
24.    2.4.4 Example.
25.   2.5 Collocated control system.
26.    2.5.1 Transmission zeros and constrained system.
27.   2.6 Continuous structures.
28.    2.7 Guyan reduction.
29.    2.8 Craig
30. Bampton reduction.
31.    2.9 References.
32.    2.10 Problems.
33.    3 Electromagnetic and piezoelectric transducers.
34.    3.1 Introduction.
35.    3.2 Voice coil transducer.
36.    3.2.1 Proof
37. mass actuator.
38.    3.2.2 Geophone.
39.    3.3 General electromechanical transducer.
40.    3.3.1 Constitutive equations.
41.    3.3.2 Self
42. sensing.
43.    3.4 Reaction wheels and gyrostabilizers.
44.    3.5 Smart materials.
45.    3.6 Piezoelectric transducer.
46.    3.6.1 Constitutive relations of a discrete transducer.
47.    3.6.2 Interpretation of k2.
48.    3.6.3 Admittance of the piezoelectric transducer.
49.    3.7 References.
50.    3.8 Problems.
51.    4 Piezoelectric beam, plate and truss.
52.    4.1 Piezoelectric material.
53.    4.1.1 Constitutive relations.
54.    4.1.2 Coenergy density function.
55.    4.2 Hamilton's principle.
56.    4.3 Piezoelectric beam actuator.
57.    4.3.1 Hamilton's principle.
58.    4.3.2 Piezoelectric loads.
59.    4.4 Laminar sensor.
60.    4.4.1 Current and charge amplifiers.
61.    4.4.2 Distributed sensor output.
62.   4.4.3 Charge amplifier dynamics.
63.    4.5 Spatial modalfilters.
64.    4.5.1 Modal actuator.
65.    4.5.2 Modal sensor.
66.    4.6 Active beam with collocated actuator
67. sensor.
68.    4.6.1 Frequency response function.
69.    4.6.2 Pole
70. zero pattern.
71.    4.6.3 Modal truncation.
72.    4.7 Admittance of a beam with a piezoelectric patch.
73.    4.8 Piezoelectric laminate.
74.    4.8.1 Two dimensional constitutive equations.
75.    4.8.2 Kirchhoff  theory.
76.    4.8.3 Stiffness matrix of a multi
77. layer elastic laminate.
78.    4.8.4 Multi
79. layer laminate with a piezoelectric layer.
80.    4.8.5 Equivalent piezoelectric loads.
81.    4.8.6 Sensor output.
82.    4.8.7 Beam model vs. plate model.
83.    4.8.8 Additional remarks.
84.    4.9 Active truss.
85.    4.9.1 Open
86. loop transfer function.
87.    4.9.2 Admittance function.
88.    4.10 Finite element formulation.
89.    4.11 References.
90.    4.12 Problems.
91.    5 Passive damping with piezoelectric transducers.
92.    5.1 Introduction.
93.    5.2 Resistive shunting.
94.    5.3 Inductive shunting.
95.    5.4 Switched shunt.
96.    5.4.1 Equivalent damping ratio.
97.    5.5 References.
98.    5.6 Problems.
99.    6 Collocated versus non
100. collocated control.
101.    6.1 Introduction.
102.   6.2 Pole
103. zero flipping.
104.    6.3 The two
105. mass problem.
106.    6.3.1 Collocated control.
107.    6.3.2 Non
108. collocated control.
109.    6.4 Notch filter.
110.    6.5 Effect of pole
111. zero flipping on the Bode plots.
112.    6.6 Nearly collocated control system.
113.    6.7 Non
114. collocated control systems.
115.    6.8 The role of damping.
116.    6.9 References.
117.   6.10 Problems ..
118.    7 Active damping with collocated system.
119.    7.1 Introduction.
120.    7.2 Lead control.
121.    7.3 Direct velocity feedback (DVF).
122.    7.4 Positive Position Feedback (PPF).
123.    7.5 Integral Force Feedback(IFF).
124.    7.6 Duality between the Lead and the IFF controllers.
125.    7.6.1 Root
126. locus of a single mode.
127.    7.6.2 Open
128. loop poles and zeros.
129.    7.7 Actuator and sensor dynamics.
130.    7.8 Decentralized control with collocated pairs.
131.  

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