Introduction to Vibrations and Waves

H. John Pain, Patricia Rankin

• Publisher: Wiley
• Year: 2015
• Print ISBN: 9781118441084, 9781118441107
• eBook ISBN: 9781118698389
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Physics
• Index: Physics

Based on the successful multi-edition book "The Physics of Vibrations and Waves" by John Pain, the authors carry over the simplicity and logic of the approach taken in the original first edition with its focus on the patterns underlying and connecting so many aspects of physical behavior, whilst bringing the subject up-to-date so it is relevant to teaching in the 21^st century.

The transmission of energy by wave propagation is a key concept that has applications in almost every branch of physics with transmitting mediums essentially acting as a continuum of coupled oscillators. The characterization of these simple oscillators in terms of three parameters related to the storage, exchange, and dissipation of energy forms the basis of this book. The text moves naturally on from a discussion of basic concepts such as damped oscillations, diffraction and interference to more advanced topics such as transmission lines and attenuation, wave guides, diffusion, Fourier series, and electromagnetic waves in dielectrics and conductors. Throughout the text the emphasis on the underlying principles helps readers to develop their physics insight as an aid to problem solving.

This book provides undergraduate students of physics and engineering with the mathematical tools required for full mastery of the concepts. With worked examples presented throughout the text, as well as the Problem sets concluding each chapter, this textbook will enable students to develop their skills and measure their understanding of each topic step-by-step.

A companion website is also available, which includes solutions to chapter problems and PowerPoint slides.
 
Review of "The Physics of Vibrations and Waves 6e"
This is an excellent textbook, full of interesting material clearly explained and fully worthy of being studied by future contributors ..." Journal of Sound and Vibration

Table of contents

• Cover
• Title page
• Table of Contents
• Acknowledgement
• About the companion website
• Preface
• Introduction
• Table of Constants
• Table of Energy Storing Processes
• 1 Simple Harmonic Motion
• 2 Damped Simple Harmonic Motion
• 3 The Fornced Oscillator
• 4 Coupled Oscillations
• 5 Transverse Wave Motion (1)
• 6 Transverse Wave Motion (2)
• 7 Longitudinal Waves
• 8 Waves on Transmission Lines
• 9 Electromagnetic Waves
• 10 Waves in More Than One Dimension
• 11 Fourier Methods
• 12 Waves in Optics (1) Interference
• 13 Waves in Optics (2) Diffraction
• 14 Non-linear Oscillations
• Appendix 1: The Binomial Theorem
• Appendix 2: Taylor’s and the Exponential Series
• Appendix 3: Superposition of a Large Number n of Simple Harmonic Vibrations of Equal Amplitude a and Equal Successive Phase Difference δ
• Appendix 4: Superposition of n Equal SHM Vectors of Length a with Random Phase ϕ
• Appendix 5: Electromagnetic Wave Equations: Vector Method
• Appendix 6: Planck’s Radiation Law
• Appendix 7: Fraunhofer Diffraction from a Rectangular Aperture
• Appendix 8: Reflection and Transmission Coefficients for a Wave Meeting a Boundary
• Index
• End User License Agreement