Cover image for Active and Passive Vibration Damping

Active and Passive Vibration Damping

Author Amr M. Baz
Release Date: 2019/04/01
ISBN: 9781118481929
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Book Description

A guide to the application of viscoelastic damping materials to control vibration and noise of structures, machinery, and vehicles

Active and Passive Vibration Damping is a practical guide to the application of passive as well as actively treated viscoelastic damping materials to control vibration and noise of structures, machinery and vehicles. The author — a noted expert on the topic — presents the basic principles and reviews the potential applications of passive and active vibration damping technologies. The text presents a combination of the associated physical fundamentals, governing theories and the optimal design strategies of various configurations of vibration damping treatments.

The text presents the basics of various damping effective treatments such as constrained layers, shunted piezoelectric treatments, electromagnetic and shape memory fibers. Classical and new models are included as well as aspects of viscoelastic materials models that are analyzed from the experimental characterization of the material coefficients as well as their modeling. The use of smart materials to augment the vibration damping of passive treatments is pursued in depth throughout the book. This vital guide:

  • Contains numerical examples that reinforce the understanding of the theories presented
  • Offers an authoritative text from an internationally recognized authority and pioneer on the subject
  • Presents, in one volume, comprehensive coverage of the topic that is not available elsewhere
  • Presents a mix of the associated physical fundamentals, governing theories and optimal design strategies of various configurations of vibration damping treatments

Written for researchers in vibration damping and research, engineers in structural dynamics and practicing engineers, Active and Passive Vibration Damping offers a hands-on resource for applying passive as well as actively treated viscoelastic damping materials to control vibration and noise of structures, machinery and vehicles.

Table of Contents

  1. Cover
  2. Preface
  3. List of Symbols
  4. Abbreviations
  5. Part I: Fundamentals of Viscoelastic Damping
    1. 1 Vibration Damping
      1. 1.1 Overview
      2. 1.2 Passive, Active, and Hybrid Vibration Control
      3. 1.3 Summary
      4. References
    2. 2 Viscoelastic Damping
      1. 2.1 Introduction
      2. 2.2 Classical Models of Viscoelastic Materials
      3. 2.3 Creep Compliance and Relaxation Modulus
      4. 2.4 Characteristics of the VEM in the Frequency Domain
      5. 2.5 Hysteresis and Energy Dissipation Characteristics of Viscoelastic Materials
      6. 2.6 Fractional Derivative Models of Viscoelastic Materials
      7. 2.7 Viscoelastic Versus Other Types of Damping Mechanisms
      8. 2.8 Summary
      9. References
      10. 2.A Initial and Final Value Theorems
      11. 2.B Fractional Calculus
      12. Problems
    3. 3 Characterization of the Properties of Viscoelastic Materials
      1. 3.1 Introduction
      2. 3.2 Typical Behavior of Viscoelastic Materials
      3. 3.3 Frequency Domain Measurement Techniques of the Dynamic Properties of Viscoelastic Material
      4. 3.4 Master Curves of Viscoelastic Materials
      5. 3.5 Time‐Domain Measurement Techniques of the Dynamic Properties of Viscoelastic Materials
      6. 3.6 Summary
      7. References
      8. 3.A Convolution Theorem
      9. Problems
    4. 4 Viscoelastic Materials
      1. 4.1 Introduction
      2. 4.2 Golla–Hughes–McTavish (GHM) Model
      3. 4.3 Structural Finite Element Models of Beams Treated with VEM
      4. 4.4 Generalized Maxwell Model (GMM)
      5. 4.5 Augmenting Thermodynamic Field (ATF) Model
      6. 4.6 Fractional Derivative (FD) Models
      7. 4.7 Finite Element Modeling of Plates Treated with Passive Constrained Layer Damping
      8. 4.8 Finite Element Modeling of Shells Treated with Passive Constrained Layer Damping
      9. 4.9 Summary
      10. References
      11. Problems
    5. 5 Finite Element Modeling of Viscoelastic Damping by Modal Strain Energy Method
      1. 5.1 Introduction
      2. 5.2 Modal Strain Energy (MSE) Method
      3. 5.3 Modified Modal Strain Energy (MSE) Methods
      4. 5.4 Summary of Modal Strain Energy Methods
      5. 5.5 Modal Strain Energy as a Metric for Design of Damping Treatments
      6. 5.6 Perforated Damping Treatments
      7. 5.7 Summary
      8. References
      9. Problems
    6. 6 Energy Dissipation in Damping Treatments
      1. 6.1 Introduction
      2. 6.2 Passive Damping Treatments of Rods
      3. 6.3 Active Constrained Layer Damping Treatments of Rods
      4. 6.4 Passive Constrained Layer Damping Treatments of Beams
      5. 6.5 Active Constrained Layer Damping Treatments of Beams
      6. 6.6 Passive and Active Constrained Layer Damping Treatments of Plates
      7. 6.7 Passive and Active Constrained Layer Damping Treatments of Axi‐Symmetric Shells
      8. 6.8 Summary
      9. References
      10. 6.A Basic Identities
      11. 6.B Piezoelectricity*
      12. Problems
  6. Part II: Advanced Damping Treatments
    1. 7 Vibration Damping of Structures Using Active Constrained Layer Damping
      1. 7.1 Introduction
      2. 7.2 Motivation for Using Passive and Active Constrained Layer Damping
      3. 7.3 Active Constrained Layer Damping for Beams
      4. 7.4 Active Constrained Layer Damping for Plates
      5. 7.5 Active Constrained Layer Damping for Shells
      6. 7.6 Summary
      7. References
      8. 7.A Piezoelectric Sensor Basic Equations
      9. Problems
    2. 8 Advanced Damping Treatments
      1. 8.1 Introduction
      2. 8.2 Stand‐Off Damping Treatments
      3. 8.3 Functionally Graded Damping Treatments
      4. 8.4 Passive and Active Damping Composite Treatments
      5. 8.5 Magnetic Damping Treatments
      6. 8.6 Negative Stiffness Composites
      7. 8.7 Summary
      8. References
      9. 8.A Matrices of the Models of a Passive Stand‐Off Layer
      10. 8.B The Electromechanical Coupling Factor of One Piezoelectric Rod
      11. 8.C Constitutive Equations of APDC
      12. 8.D Magnetic Forces in the Passive Magnetic Composite
      13. 8.E Stiffness and Mass Matrices Passive Magnetic Composite (PMC)
      14. Problems
    3. 9 Vibration Damping with Shunted Piezoelectric Networks
      1. 9.1 Introduction
      2. 9.2 Shunted Piezoelectric Patches
      3. 9.3 Finite Element Modeling of Structures Treated with Shunted Piezo‐Networks
      4. 9.4 Active Shunted Piezoelectric Networks
      5. 9.5 Multi‐Mode Vibration Control with Shunted Piezoelectric Networks
      6. 9.6 Summary
      7. References
      8. 9.A Electromechanical Coupling Factor
    4. 10 Vibration Control with Periodic Structures
      1. 10.1 Introduction
      2. 10.2 Basics of Periodic Structures
      3. 10.3 Filtering Characteristics of Passive Periodic Structures
      4. 10.4 Natural Frequencies, Mode Shapes, and Response of Periodic Structures
      5. 10.5 Active Periodic Structures
      6. 10.6 Localization Characteristics of Passive and Active Aperiodic Structures
      7. 10.7 Periodic Rod with Periodic Shunted Piezoelectric Patches
      8. 10.8 Two‐Dimensional Active Periodic Structure
      9. 10.9 Periodic Structures with Internal Resonances
      10. 10.10 Summary
      11. References
      12. 10.A The Wavelet Transform
    5. 11 Nanoparticle Damping Composites
      1. 11.1 Introduction
      2. 11.2 Nanoparticle‐Filled Polymer Composites
      3. 11.3 Comparisons with Classical Filler Reinforcement Methods
      4. 11.4 Applications of Carbon Black/Polymer Composites
      5. 11.5 CB/Polymer Composite as a Shunting Resistance of Piezoelectric Layers
      6. 11.6 Hybrid Composites with Shunted Piezoelectric Particles
      7. 11.7 Summary
      8. References
      9. 11.A Transformation Matrix
      10. 11.B Reinforcement Mechanics of Particle‐Filled Polymers
    6. 12 Power Flow in Damped Structures
      1. 12.1 Introduction
      2. 12.2 Vibrational Power
      3. 12.3 Vibrational Power Flow in Beams
      4. 12.4 Vibrational Power of Plates
      5. 12.5 Power Flow and Structural Intensity for Shells
      6. 12.6 Summary
      7. References
      8. 12.A Calculation of Power Flow in ANSYS
  7. Glossary
  8. Appendix A: Complex Modulus of Typical Damping Treatments
    1. A.1 3M Viscoelastic Damping Polymers
    2. A.2 E.A.R. Viscoelastic Damping Polymers
    3. A.3 Soundcoat Viscoelastic Damping Polymers
    4. Major Viscoelastic Material Manufacturers Websites
    5. Further Reading
  9. Index
  10. End User License Agreement