book

Active and Passive Vibration Damping

by Amr M. Baz

April 2019

Intermediate to advanced

752 pages

21h 21m

English

Wiley

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1.1 Overview1.2 Passive, Active, and Hybrid Vibration Control1.3 SummaryReferences
2.1 Introduction2.2 Classical Models of Viscoelastic Materials2.3 Creep Compliance and Relaxation Modulus2.4 Characteristics of the VEM in the Frequency Domain2.5 Hysteresis and Energy Dissipation Characteristics of Viscoelastic Materials2.6 Fractional Derivative Models of Viscoelastic Materials2.7 Viscoelastic Versus Other Types of Damping Mechanisms2.8 SummaryReferences2.A Initial and Final Value Theorems2.B Fractional CalculusProblems
3.1 Introduction3.2 Typical Behavior of Viscoelastic Materials3.3 Frequency Domain Measurement Techniques of the Dynamic Properties of Viscoelastic Material3.4 Master Curves of Viscoelastic Materials3.5 Time‐Domain Measurement Techniques of the Dynamic Properties of Viscoelastic Materials3.6 SummaryReferences3.A Convolution TheoremProblems
4.1 Introduction4.2 Golla–Hughes–McTavish (GHM) Model4.3 Structural Finite Element Models of Beams Treated with VEM4.4 Generalized Maxwell Model (GMM)4.5 Augmenting Thermodynamic Field (ATF) Model4.6 Fractional Derivative (FD) Models4.7 Finite Element Modeling of Plates Treated with Passive Constrained Layer Damping4.8 Finite Element Modeling of Shells Treated with Passive Constrained Layer Damping4.9 SummaryReferencesProblems
5.1 Introduction5.2 Modal Strain Energy (MSE) Method5.3 Modified Modal Strain Energy (MSE) Methods5.4 Summary of Modal Strain Energy Methods5.5 Modal Strain Energy as a Metric for Design of Damping Treatments5.6 Perforated Damping Treatments5.7 SummaryReferencesProblems

6.1 Introduction6.2 Passive Damping Treatments of Rods6.3 Active Constrained Layer Damping Treatments of Rods6.4 Passive Constrained Layer Damping Treatments of Beams6.5 Active Constrained Layer Damping Treatments of Beams6.6 Passive and Active Constrained Layer Damping Treatments of Plates6.7 Passive and Active Constrained Layer Damping Treatments of Axi‐Symmetric Shells6.8 SummaryReferences6.A Basic Identities 6.B Piezoelectricity*Problems
7.1 Introduction7.2 Motivation for Using Passive and Active Constrained Layer Damping7.3 Active Constrained Layer Damping for Beams7.4 Active Constrained Layer Damping for Plates7.5 Active Constrained Layer Damping for Shells7.6 SummaryReferences7.A Piezoelectric Sensor Basic Equations Problems
8.1 Introduction8.2 Stand‐Off Damping Treatments8.3 Functionally Graded Damping Treatments8.4 Passive and Active Damping Composite Treatments8.5 Magnetic Damping Treatments8.6 Negative Stiffness Composites8.7 SummaryReferences8.A Matrices of the Models of a Passive Stand‐Off Layer8.B The Electromechanical Coupling Factor of One Piezoelectric Rod8.C Constitutive Equations of APDC8.D Magnetic Forces in the Passive Magnetic Composite8.E Stiffness and Mass Matrices Passive Magnetic Composite (PMC)Problems
9.1 Introduction9.2 Shunted Piezoelectric Patches9.3 Finite Element Modeling of Structures Treated with Shunted Piezo‐Networks9.4 Active Shunted Piezoelectric Networks9.5 Multi‐Mode Vibration Control with Shunted Piezoelectric Networks9.6 SummaryReferences9.A Electromechanical Coupling Factor
10.1 Introduction10.2 Basics of Periodic Structures10.3 Filtering Characteristics of Passive Periodic Structures10.4 Natural Frequencies, Mode Shapes, and Response of Periodic Structures10.5 Active Periodic Structures10.6 Localization Characteristics of Passive and Active Aperiodic Structures10.7 Periodic Rod with Periodic Shunted Piezoelectric Patches10.8 Two‐Dimensional Active Periodic Structure10.9 Periodic Structures with Internal Resonances10.10 SummaryReferences10.A The Wavelet Transform
11.1 Introduction11.2 Nanoparticle‐Filled Polymer Composites11.3 Comparisons with Classical Filler Reinforcement Methods11.4 Applications of Carbon Black/Polymer Composites11.5 CB/Polymer Composite as a Shunting Resistance of Piezoelectric Layers11.6 Hybrid Composites with Shunted Piezoelectric Particles11.7 SummaryReferences11.A Transformation Matrix11.B Reinforcement Mechanics of Particle‐Filled Polymers
12.1 Introduction12.2 Vibrational Power12.3 Vibrational Power Flow in Beams12.4 Vibrational Power of Plates12.5 Power Flow and Structural Intensity for Shells12.6 SummaryReferences12.A Calculation of Power Flow in ANSYS
A.1 3M Viscoelastic Damping PolymersA.2 E.A.R. Viscoelastic Damping PolymersA.3 Soundcoat Viscoelastic Damping PolymersMajor Viscoelastic Material Manufacturers WebsitesFurther Reading

Content preview from Active and Passive Vibration Damping

Glossary

Active constrained layer damping (ACLD): ACLD is a damping treatment consisting of a viscoelastic layer sandwiched between two piezoelectric layers. The bottom layer acts as a sensor bonded to the structure and the top layer acts as an actuator to enhance the shear strain in response to structural vibration.
Active piezoelectric damping composites (APDC): APDC is a damping treatment consisting of a viscoelastic (VEM) layer with embedded matrix of piezoelectric fibers. The fibers are embedded either perpendicularly or obliquely to the surface of the VEM to enhance compression damping or compression and shear damping, respectively when the piezo‐fibers are activated.
Attenuation parameter ( α ): It is the real part of the propagation parameter (μ) which represents the logarithmic decay of the state vector as the wave propagates between adjacent cells.
Augmented temperature field (ATF): The ATF method is a physically‐based approach that models the VEM by introducing a temperature field to interact with the structural field of a vibrating structure. The augmented field is described by a first order differential equation in an internal degree of freedom of the VEM.
Burgers model: It consists of a Maxwell VEM model in series with a Kelvin–Voigt VEM model.
Constrained layer damping (CLD): It is a damping treatment consisting of a VEM sandwiched between a base structure and a constraining layer in order to introduce shear deformation in the VEM. This shear deformation ...