Vibration Control of Active Structures

An Introduction

A. Preumont (Autor)

Buch | Softcover

266 Seiten

2012 | Softcover reprint of the original 1st ed. 1997
Springer (Verlag)
978-94-010-6385-2 (ISBN)

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I was introduced to structural control by Raphael Haftka and Bill Hallauer during a one year stay at the Aerospace and Ocean Engineering department of Virginia Tech., during the academic year 1985-1986. At that time, there was a tremendous interest in large space structures in the USA, mainly because of the Strategic Defense Initiative and the space station program. Most of the work was theoretical or numerical, but Bill Hallauer was one of the few experimen talists trying to implement control systems which worked on actual structures. When I returned to Belgium, I was appointed at the chair of Mechanical Engi neering and Robotics at ULB, and I decided to start some basic vibration control experiments on my own. A little later, smart materials became widely available and offered completely new possibilities, particularly for precision structures, but also brought new difficulties due to the strong coupling in their constitutive equations, which requires a complete reformulation of the classical modelling techniques such as finite elements. We started in this new field with the sup port of the national and regional governments, the European Space Agency, and some bilateral collaborations with European aerospace companies. Our Active Structures Laboratory was inaugurated in October 1995.

1 Introduction.- 1.1 Active versus passive.- 1.2 Smart materials and structures.- 1.3 Control strategies.- 1.4 The various steps of the design.- 1.5 Organization of the book.- 1.6 References.- 1.7 Problems.- 2 Some concepts of structural dynamics.- 2.1 Equation of motion of a discrete system.- 2.2 Vibration modes.- 2.3 Modal decomposition.- 2.4 Transfer function of collocated systems.- 2.5 Continuous structures.- 2.6 Guyan reduction.- 2.7 References.- 2.8 Problems.- 3 Actuators, piezoelectric materials, and active structures.- 3.1 Introduction.- 3.2 Proof-mass actuator.- 3.3 Reaction wheels and gyrostabilizers.- 3.4 Piezoelectric actuators.- 3.5 Passive damping with piezoceramics.- 3.6 Active cantilever beam.- 3.7 Active truss.- 3.8 Active plate with piezo strips.- 3.9 References.- 3.10 Problems.- 4 Collocated versus non-collocated control.- 4.1 Introduction.- 4.2 Pole-zero flipping.- 4.3 Collocated control.- 4.4 Non-collocated case.- 4.5 Notch filter.- 4.6 Pole-zero flipping in the structure.- 4.7 Effect on the Bode plots.- 4.8 Relation to the mode shapes.- 4.9 The role of damping.- 4.10 References.- 4.11 Problems.- 5 Active damping with collocated pairs.- 5.1 Introduction.- 5.2 Direct Velocity Feedback.- 5.3 Acceleration feedback.- 5.4 Positive Position Feedback.- 5.5 Integral Force Feedback.- 5.6 Remarks.- 5.7 References.- 5.8 Problems.- 6 State space approach.- 6.1 Introduction.- 6.2 State space description.- 6.3 System transfer function.- 6.4 Pole placement by state feedback.- 6.5 Linear Quadratic Regulator.- 6.6 Observer design.- 6.7 Kalman Filter.- 6.8 Reduced order observer.- 6.9 Separation principle.- 6.10 Transfer function of the compensator.- 6.11 References.- 6.12 Problems.- 7 Analysis and synthesis in the frequency domain.- 7.1 Gain and phase margins.- 7.2Nyquist criterion.- 7.3 Nichols chart.- 7.4 Feedback specification for SISO systems.- 7.5 Bode gain-phase relationships.- 7.6 The Bode Ideal Cutoff.- 7.7 Non-minimum phase systems.- 7.8 Usual compensators.- 7.9 References.- 7.10 Problems.- 8 Optimal control.- 8.1 Introduction.- 8.2 Quadratic integral.- 8.3 Deterministic LQR.- 8.4 Stochastic response to a white noise.- 8.5 Stochastic LQR.- 8.6 Asymptotic behaviour of the closed-loop.- 8.7 Prescribed degree of stability.- 8.8 Gain and phase margins of the LQR.- 8.9 Full state observer.- 8.10 Kalman-Bucy Filter (KBF).- 8.11 Linear Quadratic Gaussian (LQG).- 8.12 Duality.- 8.13 Spillover.- 8.14 Loop Transfer Recovery (LTR).- 8.15 Integral control with state feedback.- 8.16 Frequency shaping.- 8.17 References.- 8.18 Problems.- 9 Controllability and Observability.- 9.1 Introduction.- 9.2 Controllability and observability matrices.- 9.3 Examples.- 9.4 State transformation.- 9.5 PBH test.- 9.6 Residues.- 9.7 Example.- 9.8 Sensitivity.- 9.9 Controllability and observability Gramians.- 9.10 Relative controllability and observability.- 9.11 Model reduction.- 9.12 References.- 9.13 Problems.- 10 Stability.- 10.1 Introduction.- 10.2 Linear systems.- 10.3 Liapunov’s direct method.- 10.4 Liapunov functions for linear systems.- 10.5 Liapunov’s indirect method.- 10.6 An application to controller design.- 10.7 Energy absorbing controls.- 10.8 References.- 10.9 Problems.- 11 Applications.- 11.1 Digital implementation.- 11.2 Active damping of a truss structure.- 11.3 Active damping of a plate.- 11.4 Active damping of a stiff beam.- 11.5 The HAC/LAC strategy.- 11.6 Tendon control of cable structures.- 11.7 References.- 11.8 Problems.

Reihe/Serie	Solid Mechanics and Its Applications ; 50
Zusatzinfo	XIII, 266 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	160 x 240 mm
Themenwelt	Technik ► Bauwesen
	Technik ► Fahrzeugbau / Schiffbau
	Technik ► Maschinenbau
ISBN-10	94-010-6385-0 / 9401063850
ISBN-13	978-94-010-6385-2 / 9789401063852
Zustand	Neuware