Michael Feldman

Hilbert Transform Applications in Mechanical Vibration (eBook, PDF)

• Format: PDF

Produktbeschreibung

Hilbert Transform Applications in Mechanical Vibration addresses recent advances in theory and applications of the Hilbert transform to vibration engineering, enabling laboratory dynamic tests to be performed more rapidly and accurately. The author integrates important pioneering developments in signal processing and mathematical models with typical properties of mechanical dynamic constructions such as resonance, nonlinear stiffness and damping. A comprehensive account of the main applications is provided, covering dynamic testing and the extraction of the modal parameters of nonlinear vibration systems, including the initial elastic and damping force characteristics. This unique merger of technical properties and digital signal processing allows the instant solution of a variety of engineering problems and the in-depth exploration of the physics of vibration by analysis, identification and simulation. This book will appeal to both professionals and students working in mechanical, aerospace, and civil engineering, as well as naval architecture, biomechanics, robotics, and mechatronics. Hilbert Transform Applications in Mechanical Vibration employs modern applications of the Hilbert transform time domain methods including: * The Hilbert Vibration Decomposition method for adaptive separation of a multi-component non-stationary vibration signal into simple quasi-harmonic components; this method is characterized by high frequency resolution, which provides a comprehensive account of the case of amplitude and frequency modulated vibration analysis. * The FREEVIB and FORCEVIB main applications, covering dynamic testing and extraction of the modal parameters of nonlinear vibration systems including the initial elastic and damping force characteristics under free and forced vibration regimes. Identification methods contribute to efficient and accurate testing of vibration systems, avoiding effort-consuming measurement and analysis. * Precise identification of nonlinear and asymmetric systems considering high frequency harmonics on the base of the congruent envelope and congruent frequency. * Accompanied by a website at www.wiley.com/go/feldman, housing MATLAB®/ SIMULINK codes.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 320
• Erscheinungstermin: 9. März 2011
• Englisch
• ISBN-13: 9781119991649
• Artikelnr.: 37345060

Autorenporträt

Michael Feldman, Technion, Israel Michael Feldman is Computer System Engineer and Adjunct Senior Lecturer in the Faculty of Mechanical Engineering, Technion. His research focuses on signal processing, vibration engineering; analysis of dynamic signals and mechanical systems, modal testing and monitoring and diagnostics of machines. He is a past editor of the Journal Mechanical Systems and Signal Processing and has authored two books in Russian as well as contributions to the Encyclopedia of Structural Health Monitoring (Wiley, 2009) and Encyclopedia of Vibration (Academic Press, 2001).

Inhaltsangabe

List of Figures. List of Tables. Preface. 1 INTRODUCTION. 1.1 Brief History
of the Hilbert Transform. 1.2 Hilbert Transform in Vibration Analysis. 1.3
Organization of the Book. PART I. HILBERT TRANSFORM AND ANALYTIC SIGNAL. 2
ANALYTIC SIGNAL REPRESENTATION. 2.1 Local Versus Global Estimations. 2.2
The Hilbert Transform Notation. 2.3 Main Properties of the Hilbert
Transform. 2.4 The Hilbert Transform of Multiplication. 2.5 Analytic Signal
Representation. 2.6 Polar Notation. 2.7 Angular Position and Speed. 2.8
Signal Waveform and Envelope. 2.9 Instantaneous Phase. 2.10 Instantaneous
Frequency. 2.11 Envelope vs. Instantaneous Frequency Plot. 2.12
Distribution Functions of the Instantaneous Characteristics. 2.13 Signal
Bandwidth. 2.14 Instantaneous Frequency Distribution and Negative Values.
2.15 Conclusions. 3 SIGNAL DEMODULATION. 3.1 Envelope and Instantaneous
Frequency Extraction. 3.2 Hilbert Transform and Synchronous Detection. 3.3
Digital Hilbert Transformers. 3.4 Instantaneous Characteristics
Distortions. 3.5 Conclusions. Part II. HILBERT TRANSFORM AND VIBRATION
SIGNALS. 4 TYPICAL EXAMPLES AND DESCRIPTION OF VIBRATION DATA. 4.1 Random
Signal. 4.2 Decay Vibration Waveform. 4.3 Slow Linear Sweeping Frequency
Signal. 4.4 Harmonic Frequency Modulation. 4.5 Harmonic Amplitude
Modulation. 4.6 Product of Two Harmonics. 4.7 Single Harmonic with DC
Offset. 4.8 Composition of Two Harmonics. 4.9 Derivative and Integral of
the Analytic Signal. 4.10 Signal Level. 4.11 Frequency Contents. 4.12
Narrowband and Wideband Signal. 4.13 Conclusions. 5 ACTUAL SIGNAL CONTENTS.
5.1 Monocomponent Signal. 5.2 Multicomponent Signal. 5.3 Types of
multicomponent signals. 5.4 Averaging Envelope and Instantaneous Frequency.
5.5 Smoothing and Approximation of the Instantaneous Frequency. 5.6
Congruent Envelope. 5.7 Congruent Instantaneous Frequency. 5.8 Conclusions.
6 LOCAL AND GLOBAL VIBRATION DECOMPOSITIONS. 6.1 Empirical Mode
Decomposition. 6.2 Analytical Basics of the EMD. 6.3 Global Hilbert
Vibration Decomposition. 6.4 Instantaneous Frequency of the Largest Energy
Component. 6.5 Envelope of the Largest Energy Component. 6.6 Subtraction of
the Synchronous Largest Component. 6.7 Hilbert Vibration Decomposition
Scheme. 6.8 Examples of Hilbert Vibration Decomposition. 6.9 Comparison of
the Hilbert Transform Decomposition Methods. 6.10 Common Properties of the
Hilbert Transform Decompositions. 6.11 The Differences between the Hilbert
Transform Decompositions. 6.12 Amplitude-Frequency Resolution of HT
Decompositions. 6.13 Limiting Number of Valued Oscillating Components. 6.14
Decompositions of Typical Non-stationary Vibration Signals. 6.15 Main
Results and Recommendations. 6.16 Conclusions. 7 SIGNAL ANALYSIS PRACTICE
EXPERIENCE AND INDUSTRIAL APPLICATION. 7.1 Structural Health Monitoring.
7.2 Standing and Traveling Wave Separation. 7.3 Echo Signal Estimation. 7.4
Synchronization Description. 7.5 Fatigue Estimation. 7.6 Multichannel
Vibration Generation. 7.7 Conclusions. Part III. HILBERT TRANSFORM AND
VIBRATION SYSTEMS 8 VIBRATION SYSTEM CHARACTERISTICS. 8.1 Kramers-Kronig
Relations. 8.2 Detection of Nonlinearities in Frequency Domain. 8.3 Typical
Nonlinear Elasticity Characteristics. 8.4 Phase Plane Representation of
Elastic Nonlinearities in Vibration Systems. 8.5 Complex Plane
Representation. 8.6 Approximate Primary Solution of a Conservative
Nonlinear System. 8.7 Hilbert Transform and Hysteretic Damping. 8.8
Nonlinear Damping Characteristics in SDOF Vibration System. 8.9 Typical
Nonlinear Damping in Vibration System. 8.10 Velocity-Dependent Nonlinear
Damping. 8.11 Velocity-Independent Damping. 8.12 Combination of Different
Damping Elements. 8.13 Conclusions. 9 IDENTIFICATION OF THE PRIMARY
SOLUTION. 9.1 Theoretical Bases of the Hilbert Transform System
Identification. 9.2 Free Vibration Modal Characteristics. 9.3 Forced
Vibration Modal Characteristics. 9.4 BackBone (Skeleton Curve). 9.5 Damping
Curve. 9.6 Frequency Response. 9.7 Force Static Characteristics. 9.8
Conclusions. 10 THE FREEVIB and FORCEVIB METHODS. 10.1 FREEVIB
Identification Examples. 10.2 FORCEVIB Identification Examples. 10.3 System
Identification with Biharmonic Excitation. 10.4 Identification of Nonlinear
Time-Varying System. 10.5 Experimental Identification of Nonlinear
Vibration System. 10.6 Conclusions. 11 CONSIDERING HIGH ORDER
SUPERHARMONICS. IDENTIFICATION OF ASYMMETRIC AND MDOF SYSTEMS. 11.1
Description of the Precise Method Scheme. 11.2 Identification of the
Instantaneous Modal Parameters. 11.3 Congruent Modal Parameters. 11.4
Congruent Nonlinear Elastic and Damping Forces. 11.5 Examples of Precise
Free Vibration Identification. 11.6 Forced Vibration Identification
Considering High-Order Superharmonics. 11.7 Identification of Asymmetric
Nonlinear System. 11.8 Experimental Identification of a Crack. 11.9
Identification of MDOF Vibration System. 11.10 Identification of Weakly
Nonlinear Coupled Oscillators. 11.11 Conclusions. 12 SYSTEM ANALYSIS
PRACTICE EXPERIENCE AND INDUSTRIAL APPLICATION. 12.1 Non-parametric
Identification of Nonlinear Mechanical Vibration Systems. 12.2 Parametric
Identification of Nonlinear Mechanical Vibrating Systems. 12.3 Structural
Health Monitoring and Damage Detection. 12.4 Conclusions. References.
Index.