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Structural Dynamics and Vibration in Practice

Book Description

This straightforward text, primer and reference introduces the theoretical, testing and control aspects of structural dynamics and vibration, as practised in industry today.

Written by an expert engineer of over 40 years experience, the book comprehensively opens up the dynamic behavior of structures and provides engineers and students with a comprehensive practice based understanding of the key aspects of this key engineering topic.

Key features
• Worked example based makes it a thoroughly practical resource
• Aimed at those studying to enter, and already working in industry;
• Presents an applied practice and testing based approach while remaining grounded in the theory of the topic
• Makes the topic as easy to read as possible, omitting no steps in the development of the subject;
• Includes the use of computer based modelling techniques and finite elements
• Covers theory, modelling testing and control in practice

Written with the needs of engineers of a wide range of backgrounds in mind, this book will be a key resource for those studying structural dynamics and vibration at undergraduate level for the first time in aeronautical, mechanical, civil and automotive engineering. It will be ideal for laboratory classes and as a primer for readers returning to the subject, or coming to it fresh at graduate level.

It is a guide for students to keep and for practicing engineers to refer to: its worked example approach ensures that engineers will turn to Thorby for advice in many engineering situations.

1. Presents students and practitioners in all branches of engineering with a unique structural dynamics resource and primer, covering practical approaches to vibration engineering while remaining grounded in the theory of the topic
2. Written by a leading industry expert, with a worked example lead approach for clarity and ease of understanding
3. Makes the topic as easy to read as possible, omitting no steps in the development of the subject; covers computer based techniques and finite elements

Table of Contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. Preface
  7. Acknowledgements
  8. Chapter 1: Basic Concepts
    1. 1.1 Statics, dynamics and structural dynamics
    2. 1.2 Coordinates, displacement, velocity and acceleration
    3. 1.3 Simple harmonic motion
    4. 1.4 Mass, stiffness and damping
    5. 1.5 Energy methods in structural dynamics
    6. 1.6 Linear and non-linear systems
    7. 1.7 Systems of units
  9. Chapter 2: The Linear Single Degree of Freedom System: Classical Methods
    1. 2.1 Setting up the differential equation of motion
    2. 2.2 Free response of single-DOF systems by direct solution of the equation of motion
    3. 2.3 Forced response of the system by direct solution of the equation of motion
  10. Chapter 3: The Linear Single Degree of Freedom System: Response in the Time Domain
    1. 3.1 Exact analytical methods
    2. 3.2 ‘Semi-analytical’ methods
    3. 3.3 Step-by-step numerical methods using approximate derivatives
    4. 3.4 Dynamic factors
    5. 3.5 Response spectra
  11. Chapter 4: The Linear Single Degree of Freedom System: Response in the Frequency Domain
    1. 4.1 Response of a single degree of freedom system with applied force
    2. 4.2 Single-DOF system excited by base motion
    3. 4.3 Force transmissibility
    4. 4.4 Excitation by a rotating unbalance
  12. Chapter 5: Damping
    1. 5.1 Viscous and hysteretic damping models
    2. 5.2 Damping as an energy loss
    3. 5.3 Tests on damping materials
    4. 5.4 Quantifying linear damping
    5. 5.5 Heat dissipated by damping
    6. 5.6 Non-linear damping
    7. 5.7 Equivalent linear dampers
    8. 5.8 Variation of damping and natural frequency in structures with amplitude and time
  13. Chapter 6: Introduction to Multi-degree-of-freedom Systems
    1. 6.1 Setting up the equations of motion for simple, undamped, multi-DOF systems
    2. 6.2 Matrix methods for multi-DOF systems
    3. 6.3 Undamped normal modes
    4. 6.4 Damping in multi-DOF systems
    5. 6.4.4 Proportional Damping
    6. 6.5 Response of multi-DOF systems by normal mode summation
    7. 6.6 Response of multi-DOF systems by direct integration
  14. Chapter 7: Eigenvalues and Eigenvectors
    1. 7.1 The eigenvalue problem in standard form
    2. 7.2 Some basic methods for calculating real eigenvalues and eigenvectors
    3. 7.3 Choleski factorization
    4. 7.4 More advanced methods for extracting real eigenvalues and eigenvectors
    5. 7.5 Complex (damped) eigenvalues and eigenvectors
  15. Chapter 8: Vibration of Structures
    1. 8.1 A historical view of structural dynamics methods
    2. 8.2 Continuous systems
    3. 8.3 Component mode methods
    4. 8.4 The finite element method
    5. 8.5 Symmetrical structures
  16. Chapter 9: Fourier Transformation and Related Topics
    1. 9.1 The Fourier series and its developments
    2. 9.2 The discrete Fourier transform
    3. 9.3 Aliasing
    4. 9.4 Response of systems to periodic vibration
  17. Chapter 10: Random Vibration
    1. 10.1 Stationarity, ergodicity, expected and average values
    2. 10.2 Amplitude probability distribution and density functions
    3. 10.3 The power spectrum
    4. 10.4 Response of a system to a single random input
    5. 10.5 Correlation functions and cross-power spectral density functions
    6. 10.6 The Response of structures to random inputs
    7. 10.7 Computing power spectra and correlation functions using the discrete Fourier transform
    8. 10.8 Fatigue due to random vibration
  18. Chapter 11: Vibration Reduction
    1. 11.1 Vibration isolation
    2. 11.2 The dynamic absorber
    3. 11.3 The damped vibration absorber
    4. 11.3.1 The Springless Vibration Absorber
  19. Chapter 12: Introduction to Self-Excited Systems
    1. 12.1 Friction-induced vibration
    2. 12.2 Flutter
    3. 12.3 Landing gear shimmy
  20. Chapter 13: Vibration testing
    1. 13.1 Modal testing
    2. 13.2 Environmental vibration testing
    3. 13.3 Vibration fatigue testing in real time
    4. 13.4 Vibration testing equipment
  21. A Short Table of Laplace Transforms
  22. Calculation of Flexibility Influence Coefficients
  23. Acoustic Spectra
  24. Index