Front Cover -- Active Control of Vibration -- Copyright Page -- Contents -- Preface -- Chapter 1. Introduction to Mechanical Vibrations -- 1.1 Introduction -- 1.2 Terminology -- 1.3 Single-degree-of-freedom (SDOF) systems -- 1.4 Free motion of SDOF systems -- 1.5 Damped motion of SDOF systems -- 1.6 Forced response of SDOF systems -- 1.7 Transient response of SDOF systems and the use of the Laplace transform -- 1.8 Multi-degree-of-freedom (MDOF) systems -- 1.9 Free motion of MDOF systems -- 1.10 Forced response of MDOF systems -- 1.11 Damped motion of MDOF systems -- 1.12 Finite element analysis of vibrating mechanical systems -- Chapter 2. Introduction to Waves in Structures -- 2.1 Introduction -- 2.2 Longitudinal waves -- 2.3 Flexural waves -- 2.4 Flexural response of an infinite beam to an oscillating point force -- 2.5 Flexural wave power flow -- 2.6 Flexural response of an infinite thin beam to an oscillating line moment -- 2.7 Free flexural motion of finite thin beams -- 2.8 Response of a finite thin beam to an arbitrary oscillating force distribution -- 2.9 Vibration of thin plates -- 2.10 Free vibration of thin plates -- 2.11 Response of a thin rectangular simply supported plate to an arbitrary oscillating force distribution -- 2.12 Vibration of infinite thin cylinders -- 2.13 Free vibration of finite thin cylinders -- 2.14 Harmonic forced vibration of infinite thin cylinders -- Chapter 3. Feedback Control -- 3.1 Introduction -- 3.2 Single-channel feedback control -- 3.3 Stability of a single-channel system -- 3.4 Modification of the response of an SDOF system -- 3.5 The effect of delays in the feedback loop -- 3.6 The state variable approach -- 3.7 Example of a two-degree-of-freedom system -- 3.8 Output feedback and state feedback -- 3.9 State estimation and observers -- 3.10 Optimal control -- 3.11 Modal control.

Chapter 4. Feedforward Control -- 4.1 Introduction -- 4.2 Single channel feedforward control -- 4.3 The effect of measurement noise -- 4.4 Adaptive digital controllers -- 4.5 Multichannel feedforward control -- 4.6 Adaptive frequency domain controllers -- 4.7 Adaptive time domain controllers -- 4.8 Equivalent feedback controller interpretation -- Chapter 5. Distributed Transducers for Active Control of Vibration -- 5.1 Introduction -- 5.2 Piezoelectric material and definitions -- 5.3 Piezoelectric stack actuators -- 5.4 Piezoelectric one-dimensional asymmetric wafer actuators -- 5.5 Piezoelectric one-dimensional anti-symmetric wafer actuators -- 5.6 Piezoelectric two-dimensional anti-symmetric wafer actuators -- 5.7 Piezoelectric distributed sensors -- 5.8 Modal estimation with arrays of point sensors -- 5.9 Wavenumber estimation with arrays of point sensors -- 5.10 Wave vector filtering with arrays of point sensors -- 5.11 Shape memory alloy actuators and sensors -- Chapter 6. Active Control of Vibration in Structures -- 6.1 Introduction -- 6.2 Feedforward control of finite structures -- 6.3 Feedback control of finite structures -- 6.4 Feedforward control of wave transmission -- 6.5 Actuator arrays for control of flexural waves -- 6.6 Sensor arrays for control of flexural waves -- 6.7 Feedforward control of flexural waves -- 6.8 Feedback control of flexural waves -- Chapter 7. Active Isolation of Vibrations -- 7.1 Introduction -- 7.2 Isolation of periodic vibrations of an SDOF system -- 7.3 Vibration isolation from a flexible receiver -- the effects of secondary force location -- 7.4 Active isolation of periodic vibrations using multiple secondary force inputs -- 7.5 Finite element analysis of an active system for the isolation of periodic vibrations.

7.6 Practical examples of multi-channel feedforward control for the isolation of periodic vibrations -- 7.7 Isolation of unpredictable vibrations from a receiving structure -- 7.8 Isolation of vibrating systems from random external excitation -- the possibilities for feedforward control -- 7.9 Isolation of vibrating systems from random external excitation -- analysis of feedback control strategies -- 7.10 Isolation of vibrating systems from random external excitation -- formulation in terms of modern control theory -- 7.11 Active isolation of vehicle vibrations from road and track irregularities -- Chapter 8. Active Structural Acoustic Control. I Plate Systems -- 8.1 Introduction -- 8.2 Sound radiation by planar vibrating surfaces -- the Rayleigh integral -- 8.3 The calculation of radiated sound fields by using wavenumber Fourier transforms -- 8.4 Sound power radiation from structures in terms of their multi-modal response -- 8.5 General analysis of Active Structural Acoustic Control (ASAC) for plate systems -- 8.6 Active control of sound transmission through a rectangular plate using point force actuators -- 8.7 Active control of structurally radiated sound using multiple piezoelectric actuators -- interpretation of behaviour in terms of the spatial wavenumber spectrum -- 8.8 The use of piezoelectric distributed structural error sensors in ASAC -- 8.9 An example of the implementation of feedforward ASAC -- 8.10 Feedback control of sound radiation from a vibrating baffled piston -- 8.11 Feedback control of sound radiation from distributed elastic structures -- Chapter 9. Active Structural Acoustic Control. II Cylinder Systems -- 9.1 Introduction -- 9.2 Coupled cylinder acoustic fields -- 9.3 Response of an infinite cylinder to a harmonic forcing function -- 9.4 Active control of cylinder interior acoustic fields using point forces.

9.5 Active control of vibration and acoustic transmission in fluid-filled piping systems -- 9.6 Active control of sound radiation from vibrating cylinders -- 9.7 Active control of sound in finite cylinder systems -- 9.8 Control of interior noise in a full scale jet aircraft fuselage -- Appendix. State Variables -- A.1 Introduction -- A.2 General solution to the state variable equation -- A.3 The transient response -- A.4 Transformation of variables -- A.5 Modal coordinates -- References -- Index.