Vibration Control of Active Structures

An Introduction

3rd Edition

By A. Preumont

Vibration Control of Active Structures Cover Image

Now in this third updated and expanded edition, this text offers an introduction to the dynamics of active structures and to the feedback control of lightly damped flexible structures, with the emphasis on basic issues and simple control strategies that work.

Full Description

  • ISBN13: 978-9-4007-2032-9
  • 452 Pages
  • Publication Date: July 25, 2011
  • Available eBook Formats: PDF
  • eBook Price: $99.00
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Full Description
This text is an introduction to the dynamics of active structures and to the feedback control of lightly damped flexible structures; the emphasis is placed on basic issues and simple control strategies that work.Now in its third edition, more chapters have been added, and comments and feedback from readers have been taken into account, while at the same time the unique premise of bridging the gap between structure and control has remained.  Many examples and problems bring the subject to life and take the audience from theory to practice.The book has chapters dealing with some concepts in structural dynamics; electromagnetic and piezoelectric transducers; piezoelectric beam, plate and truss; passive damping with piezoelectric transducers; collocated versus non-collocated control; active damping with collocated systems; vibration isolation; state space approach; analysis and synthesis in the frequency domain; optimal control; controllability and observability; stability; applications; tendon control of cable structures; active control of large telescopes; and semi-active control. The book concludes with an exhaustive bibliography and index. This book is intended for structural engineers who want to acquire some background in vibration control; it can be used as a textbook for a graduate course on vibration control or active structures. A solutions manual is available through the publisher to teachers using this book as a textbook.
Table of Contents

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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