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Cover image for Noise and vibration analysis : signal analysis and experimental procedures
Noise and vibration analysis : signal analysis and experimental procedures
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Publication Information:
Chichester : Wiley, 2011
Physical Description:
xxvi, 438 p. : ill. ; 25 cm.
"Noise and Vibration Analysis adopts a practical learning approach, building upon two existing class-note type books that have been used by the author for 10 years of teaching two academic courses"-- Provided by publisher.


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30000010261979 TA355 B674 2011 Open Access Book Book

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Noise and Vibration Analysis is a complete and practical guide that combines both signal processing and modal analysis theory with their practical application in noise and vibration analysis. It provides an invaluable, integrated guide for practicing engineers as well as a suitable introduction for students new to the topic of noise and vibration. Taking a practical learning approach, Brandt includes exercises that allow the content to be developed in an academic course framework or as supplementary material for private and further study. Addresses the theory and application of signal analysis procedures as they are applied in modern instruments and software for noise and vibration analysis Features numerous line diagrams and illustrations Accompanied by a web site at with numerous MATLAB tools and examples.

Noise and Vibration Analysis provides an excellent resource for researchers and engineers from automotive, aerospace, mechanical, or electronics industries who work with experimental or analytical vibration analysis and/or acoustics. It will also appeal to graduate students enrolled in vibration analysis, experimental structural dynamics, or applied signal analysis courses.

Author Notes

Anders Brandt is an independent consultant based in Sweden. He has 20 years of experience in noise and vibration analysis with universities and industry. Brandt received an MSc degree in Electrical Engineering from Chalmers University of Technology, Göteborg, Sweden, in 1986, and a Licentiate of Engineering Degree (Dr. Ing.) in Medical Electronics, from the same university in 1989. In 1996 Brandt was a co-founder of Axiom EduTech, a company offering education and software for vibration analysis worldwide. Brandt is a well-known and appreciated teacher of applied signal analysis and vibration analysis. He also has many years' experience with different commercial measurement systems for vibration analysis and modal analysis.

Table of Contents

About the Author
List of Abbreviations
1 Introduction
1.1 Noise and Vibration
1.2 Noise and Vibration Analysis
1.3 Application Areas
1.4 Analysis of Noise and Vibrations
1.5 Standards
1.6 Becoming a Noise and Vibration Analysis Expert
2 Dynamic Signals and Systems
2.1 Introduction
2.2 Periodic Signals
2.3 Random Signals
2.4 Transient Signals
2.5 RMS Value and Power
2.6 Linear Systems
2.7 The Continuous Fourier Transform
2.8 Chapter Summary
2.9 Problems. References
3 Time Data Analysis
3.1 Introduction to Discrete Signals
3.2 The Sampling Theorem
3.3 Filters
3.4 Time Series Analysis
3.5 Chapter Summary
3.6 Problems. References
4 Statistics and Random Processes
4.1 Introduction to the Use of Statistics
4.2 Random Theory
4.3 Statistical Methods
4.4 Quality Assessment of Measured Signals
4.5 Chapter Summary
4.6 Problems. References
5 Fundamental Mechanics
5.1 Newton's Laws
5.2 The Single Degree-of-freedom System (SDOF)
5.3 Alternative Quantities for Describing Motion
5.4 Frequency Response Plot Formats
5.5 Determining Natural Frequency and Damping
5.6 Rotating Mass
5.7 Some Comments on Damping
5.8 Models Based on SDOF Approximations
5.9 The Two-degree-of-freedom System (2DOF)
5.10 The Tuned Damper
5.11 Chapter Summary
5.12 Problems. References
6 Modal Analysis Theory
6.1 Waves on a String
6.2 Matrix Formulations
6.3 Eigenvalues and Eigenvectors
6.4 Frequency Response of MDOF Systems
6.5 Time Domain Simulation of Forced Response
6.6 Chapter Summary
6.7 Problems. References
7 Transducers for Noise and Vibration Analysis
7.1 The Piezoelectric Effect
7.2 The Charge Amplifier
7.3 Transducers with Built-In Impedance Converters, 'IEPE'
7.4 The Piezoelectric Accelerometer
7.5 The Piezoelectric Force Transducer
7.6 The Impedance Head
7.7 The Impulse Hammer
7.8 Accelerometer Calibration
7.9 Measurement Microphones
7.10 Microphone Calibration
7.11 Shakers for Structure Excitation
7.12 Some Comments on Measurement Procedures
7.13 Problems. References
8 Frequency Analysis Theory
8.1 Periodic Signals - The Fourier Series
8.2 Spectra of Periodic Signals
8.3 Random Processes
8.4 Transient Signals
8.5 Interpretation of spectra
8.6 Chapter Summary
8.7 Problems. References
9 Experimental Frequency Analysis
9.1 Frequency Analysis Principles
9.2 Octave and Third-octave Band Spectra
9.3 The Discrete Fourier Transform (DFT)
9.4 Chapter Summary
9.5 Problems. References
10 Spectrum and Correlation Estimates Using the DFT
10.1 Averaging
10.2 Spectrum Estimators for Periodic Signals
10.3 Estimators for PSD and CSD
10.4 Estimator for Correlation Functions
10.5 Estimators for Transient Signals
10.6 Spectrum Estimation in Practice
10.7 Multi-channel Spectral Analysis
10.8 Chapter Summary
10.9 Problems. References
11 Measurement and Analysis Systems
11.1 Principal Design
11.2 Hardware for Noise and Vibration Analysis
11.3 FFT Analysis Software
11.4 Chapter Summary
11.5 Problems. References
12 Rotating Machinery Analysis
12.1 Vibrations in Rotating Machines
12.2 Understanding Time-Frequency Analysis
12.3 Rotational Speed Signals (Tachometer Signals)
12.4 RPM Maps
12.5 Smearing
12.6 Order Tracks
12.7 Synchronous Sampling
12.8 Averaging Rotation-speed-dependent Signals
12.9 Adding Change in RMS with Time
12.10 Parametric Methods
12.11 Chapter Summary
12.12 Problems. References
13 Single-input Frequency Response Measurements
13.1 Linear Systems
13.2 Determining Frequency Response Experimentally
13.3 Important Relationships for Linear Systems
13.4 The Coherence Function
13.5 Errors in Determining the Frequency Response
13.6 Coherent Output Power
13.7 The Coherence Function in Practice
13.8 Impact Excitation
13.9 Shaker Excitation
13.10 Examples of FRF Estimation - No Extraneous Noise
13.11 Example of FRF Estimation - with Output Noise
13.12 Examples of FRF Estimation - with Input and Output Noise
13.13 Chapter Summary
13.14 Problems. References
14 Multiple-input Frequency Response Measurement
14.1 Multiple-input Systems
14.2 Conditioned Input Signals
14.3 Bias and Random Errors for Multiple-input Systems
14.4 Excitation Signals for MIMO Analysis
14.5 Data Synthesis and Simulation Examples
14.6 Real MIMO Data Case
14.7 Chapter Summary
14.8 Problems. References
15 Orthogonalization of Signals
15.1 Principal Components
15.2 Virtual Signals
15.3 Noise Source Identification (NSI)
15.4 Chapter Summary
15.5 Problems. References
16 Advanced Analysis Methods
16.1 Shock Response Spectrum
16.2 The Hilbert Transform
16.3 Cepstrum Analysis
16.4 The Envelope Spectrum
16.5 Creating Random Signals with Known Spectral Density
16.6 Operational Deflection Shapes - ODS
16.7 Introduction to Experimental Modal Analysis
16.8 Chapter Summary
16.9 Problems. References
Appendix A Complex Numbers
Appendix B Logarithmic Diagrams
Appendix C Decibels
Appendix D Some Elementary Matrix Algebra
Appendix E Eigenvalues and the SVD
E.1 Eigenvalues and Complex Matrices
E.2 The Singular Value Decomposition (SVD)
Appendix F Organizations and Resources
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