Vibration Analysis, Instruments, and Signal Processing  book cover
1st Edition

Vibration Analysis, Instruments, and Signal Processing

ISBN 9781482231441
Published December 17, 2014 by CRC Press
310 Pages 263 B/W Illustrations

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Book Description

Provides Typical Abstract Representations of Different Steps for Analyzing Any Dynamic System

Vibration and dynamics are common in everyday life, and the use of vibration measurements, tests, and analyses is becoming standard for various applications. Vibration Analysis, Instruments, and Signal Processing focuses on the basic understanding of vibration measurements and analysis. This book covers different areas of vibration measurements and analysis needed in practice, and discusses theory, application, and a variety of methods, in a simplified way. It communicates the fundamental principles of all three facets of vibration-based analysis, and highlights four major points—theory, instruments, experiments, and signal processing.

Useful for everyday work, the book dedicates several chapters to the day-to-day requirements involved in vibration measurements and analysis, and addresses a number of topics useful for many day-to-day analyses and experiments. The book provides experimental examples in each chapter—considering basic theories and analysis methods, instrumentations and signal processing methods, and combined analysis—as well as experimental approaches and case studies. In addition, it dedicates a complete chapter to case studies relating the basic theory, types of instruments and measurements needed, and requisite signal processing that ultimately result in a final diagnosis.

Consisting of ten chapters, this informative text:

  • Provides the basic understanding and concept of the vibration theory, mathematical modeling of structures and machines using the finite element (FE) method, and the vibration response computation using the FE model for the load applied
  • Discusses a simplified vibration theory through a single degree of freedom (SDOF) system of a mass and a spring
  • Introduces the concept of FE modeling at a very basic level through a few simple examples
  • Explores how the equation of motion in matrix form for any system can be integrated to solve for the responses at all DOFs due to the time-varying external loadings

Developed for diverse audiences interested in vibration analysis, this book is suitable for every level of student, engineer, and scientist associated with vibration, structural and rotor dynamics, vibration-based diagnosis, and vibration-based condition monitoring.

Table of Contents



Layout of the Chapters

Basic Theories and Analysis Methods

Single Degree of Freedom (SDOF) System

A Single Degree of Freedom (SDOF) System

Equation of Motion

Damped SDOF System

Forced Vibration


Introduction to Finite Element Modeling

Basic Concept

Modeling Procedure for Discrete Systems

Extension of FE Modeling Approach to Continuous Systems

Element Mass and Stiffness Matrices

Construction of Global Mass and Stiffness Matrices

Concept of the Formal FE Method

FE Modeling for the Beam in Example

Modal Analysis

Sensitivity of the Element Size

Damping Modeling



Force Response Analysis


Direct Integration (DI) Method

Mode Superposition (MS) Method

Excitation at the Base



Introduction to Vibration Instruments

Vibration Measurement

Response Measuring Transducers

Displacement Transducers

Velocity Transducers

Acceleration Transducers

External Excitation Instruments

Data Collection and Storage

Concept of Sampling Frequency, fs

Aliasing Effect and the Selection of Sampling Frequency, fs

DAQ Device Bit for ADC

Basics of Signal Processing


Nyquist Frequency

Time Domain Signals


Quantification of Time Domain Data

Integration of Time Domain Signals

Frequency Domain Signal: Fourier Transformation (FT)

Aliasing Effect

Averaging Process for the Spectrum Computation

Short-Time Fourier Transformation (STFT)

Correlation between Two Signals

Experiments on a SDOF System


Experimental Modal Analysis


Experimental Procedure

Modal Test and Data Analysis

Example 7.1: Peak Pick Method

Example 7.2: A Clamped-Clamped Beam

Industrial Examples



Finite Element Model Updating


Model Updating Methods

Gradient-Based Sensitivity Method

Example 8.1: A Simple Steel Bar

Example 8.2: An Aluminum Cantilever Beam



A Simple Concept on Vibration-Based Condition Monitoring


Operational Personnel

Plant Maintenance Engineers

Vibration Experts

Condition Monitoring of Rotating Machines

Normal Operation Condition

Transient Operation Conditions

Instrumenting TG Sets for Condition Monitoring

Types of Faults

Identification of Faults

Condition Monitoring for Other Rotating Machines

Field Balancing

Comments about Model-Based Fault Diagnosis (MFD)


Case Studies


Roles and Philosophy of Vibration Diagnostic Techniques (VDTs)

Dynamic Qualification due to In-Service Load Condition

Seismic Qualification

Machine Installation and Commissioning

Aging Management for Machines and Structural Components



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Dr. Jyoti K. Sinha received his bachelor’s degree (mech. eng.) from BIT, Sindri (India), and master’s degree (aerospace eng.) from IIT Bombay, Mumbai (India). He completed his PhD from the University of Wales Swansea, UK. Dr. Sinha joined the School of MACE, the University of Manchester, in January 2007. He is the author of more than 60 technical reports and 135 technical papers. Dr. Sinha is also the associate editor of two international journals, Structural Health Monitoring: An International Journal and Journal of Vibration Engineering and Technologies, editorial board member of the journal Structural Monitoring and Maintenance, and coauthor of two books.


"Dr. Sinha is to be congratulated on his valuable addition to the literature. He gives the reader an excellent introduction to a wide range of topics and offers valuable insight into the way in which instrumentation and theoretical techniques combine in the resolution of real problems."
--Prof. A W Lees, Swansea University, UK