Mechanical Vibrations: Theory and Practice

Table of contents

1. Cover
2. Title page
3. Contents
4. Dedication
5. Foreword
6. Preface
7. Chapter 1. Fundamentals of Vibration Analysis
   1. 1.1 Introduction
      1. 1.1.1 Definition of Vibration of Different Forms
      2. 1.1.2 Classifications of Vibrations Experienced in Actual Practice
      3. 1.1.3 Parameters of Vibration Waveform
      4. 1.1.4 Why do we Need Mathematical Modelling?
   2. 1.2 Practical Aspects of Vibration Analysis
      1. 1.2.1 Step 1: Mathematical Modelling
      2. 1.2.2 Step 2: Derivation of Governing Equations
      3. 1.2.3 Step 3: Solution of Governing Equations
      4. 1.2.4 Step 4: Interpretation of Results
   3. Conclusion
8. Chapter 2. Single Degree-of-Freedom Vibration Systems
   1. 2.1 Definition of Degrees-of-Freedom
   2. 2.2 Single Degree-of-Freedom System
      1. 2.2.1 Rigid-Body Oscillations
      2. 2.2.2 Spring–Mass–Damper Systems
   3. 2.3 Equation of Motion for Single Degree-of-Freedom System (SDOF)
      1. 2.3.1 Free Vibrations of Single Degree-of-Freedom System—Viscous Damping
      2. 2.3.2 Free Vibrations of Single Degree-of-Freedom System—Coulomb and Hysteretic Damping
   4. 2.4 Forced Vibrations of Single Degree-of-Freedom System to Harmonic Excitation Force
      1. 2.4.1 Response of an Undamped System to Harmonic Excitation Force
      2. 2.4.2 Response of a Damped System under Harmonic Force
      3. 2.4.3 Mechanical-Impedance Method
      4. 2.4.4 Forced Vibrations with Coulomb Damping
      5. 2.4.5 Forced Vibration with Hysteretic Damping
      6. 2.4.6 Response of SDOF Systems Subjected to a General Periodic Force
   5. Conclusion
   6. Exercises
9. Chapter 3. Two Degrees-of-Freedom Systems
   1. 3.1 Equations of Motion
      1. 3.1.1 Analysis of Free Vibrations of an Undamped System
      2. 3.1.2 Lagrange's Equations
   2. 3.2 Analysis of Free Vibrations of Damped Systems
      1. 3.2.1 Orthogonality Principle
   3. 3.3 Semi-Definite System
   4. 3.4 Forced Vibration of Two Degrees-of-Freedom System
      1. 3.4.1 Tuned Absorber
   5. Conclusion
   6. Exercises
10. Chapter 4. Multi Degrees-of-Freedom Systems
    1. 4.1 Introduction
    2. 4.2 Modelling of Continuous Systems
    3. 4.3 Equations of Motion for Multi Degrees-of-Freedom Systems
       1. 4.3.1 Using Newton's Second Law of Motion
       2. 4.3.2 Influence Coefficients
    4. 4.4 Generalized Coordinates
    5. 4.5 Energies in Vibrating Systems
       1. 4.5.1 Use of Lagrange's Equation
    6. 4.6 Eigen Value Problem
    7. 4.7 Orthogonality of Normal Modes
    8. 4.8 Modal Analysis
    9. 4.9 Determination of Natural Frequencies and Mode Shapes
       1. 4.9.1 Method of Matrices and Matrix Iteration
       2. 4.9.2 Holzer Method
       3. 4.9.3 Stodola Method
       4. 4.9.4 Dunkerley's Method
       5. 4.9.5 Rayleigh's Method
       6. 4.9.6 Mechanical-Impedance Method
    10. Conclusion
    11. Exercises
11. Chapter 5. Torsional Vibrations
    1. 5.1 Introduction
    2. 5.2 Torsional Vibration Systems
       1. 5.2.1 Single Degree-of-Freedom System
    3. 5.3 Two Degrees-of-Freedom Torsional Systems (Free Unclamped)
    4. 5.4 Geared Systems
    5. 5.5 Multi Degrees-of-Freedom Systems
       1. 5.5.1 Semi-Definite Systems
       2. 5.5.2 One End Fixed, Other End Free and Both Ends Fixed
    6. Conclusion
    7. Exercises
12. Chapter 6. Transverse Vibrations
    1. 6.1 Introduction
    2. 6.2 Lateral Vibrations of Beams
       1. 6.2.1 Free Vibrations
       2. 6.2.2 Orthogonality of Normal Functions
       3. 6.2.3 Forced Vibrations
    3. 6.3 Rayleigh's Method
    4. 6.4 Rayleigh–Ritz Method
    5. 6.5 Whirling of Rotating Shafts
       1. 6.5.1 Equations of Motion
       2. 6.5.2 Critical Speeds
       3. 6.5.3 Balancing
    6. Conclusion
    7. Exercises
13. Chapter 7. Vibration Diagnosis and Control
    1. 7.1 Introduction
    2. 7.2 Sensing and Measurements
       1. 7.2.1 General Considerations
       2. 7.2.2 Important Terminologies in Vibration/Noise Measurements and Band-Pass Filter
       3. 7.2.3 Vibration Pick-Ups
    3. 7.3 Vibration Nomographs and Vibration Criterion
    4. 7.4 Vibration Analysis
       1. 7.4.1 Phase Measurement
       2. 7.4.2 General-Purpose Vibration Analyser
       3. 7.4.3 Tape Recorders
       4. 7.4.4 Real-Time Analysers
       5. 7.4.5 Remote Sensing
    5. 7.5 Data Reduction and Processing
       1. 7.5.1 Vibration Amplitude Versus Frequency Analysis
       2. 7.5.2 Spectrum Averaging
       3. 7.5.3 Amplitude Versus Frequency Versus Time Analysis
       4. 7.5.4 Amplitude/Phase Versus RPM Analysis
       5. 7.5.5 Time Waveform Analysis
       6. 7.5.6 Lissajous Pattern (ORBIT) Analysis
       7. 7.5.7 Mode Shape Analysis
    6. 7.6 Diagnosis and Corrective Actions
       1. 7.6.1 Steady-State Operating Regime
       2. 7.6.2 Detection of Perturbation Forces and Corrective Actions
    7. 7.7 Modal Analysis
    8. 7.8 Vibration Control
    9. Conclusion
    10. Exercises
14. Chapter 8. Finite Element Method
    1. 8.1 Introduction
    2. 8.2 Important Conditions to be Satisfied
    3. 8.3 Modelling
    4. 8.4 Shape Functions
    5. 8.5 Bar Element
    6. 8.6 Boundary Conditions
    7. 8.7 Torsion Element
    8. 8.8 Beam Element
    9. Matlab—Tool for Computation
    10. Introduction
        1. (I) Display Windows
        2. (II) Arithmetic Operations
        3. (III) Built-in Functions
        4. (IV) Matrix
        5. (V) Polynomials
        6. (VI) System of Linear equations
    11. Conclusion
    12. Exercises
15. Chapter 9. Fundamentals of Experimental Modal Analysis
    1. 9.1 Introduction
    2. 9.2 Frequency-Response Function
       1. 9.2.1 Frequency-Response Function—Basic Principles
    3. Exercises
16. Chapter 10. Miscellaneous Topics in Vibration Analysis and Introduction to Noise Analysis
    1. 10.1 Flow-Induced Vibrations
    2. 10.2 Acoustics and Analysis of Noise
       1. 10.2.1 Basics of Sound
       2. 10.2.2 Amplitude, Frequency, Wavelength, and Velocity
       3. 10.2.3 Sound Field Definitions
    3. 10.3 Non-Stationary (Unsteady) Vibrations
    4. 10.4 Rotor Dynamics and Hydrodynamic Bearings
    5. Exercises
17. Appendix - A
18. Appendix - B
19. Appendix - C
20. Appendix - D
21. Copyright