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Informationen zum Autor H. J. PainEmeritus, Department of Physics, Imperial College London, UKPatricia RankinDepartment of Physics, University of Colorado, USA Klappentext Based on the successful multi-edition book, The Physics of Vibrations and Waves, by John Pain. Here 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 behaviour, whilst bringing the subject up to date so it is relevant to teaching in the 21st 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 characterisation 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 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.Review of The Physics of Vibrations and Waves, Sixth Edition'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 Zusammenfassung This book presents a solid introduction for undergraduates to the basic physics of vibrations and waves. Inhaltsverzeichnis Acknowledgement xAbout the companion website xiPreface xiiIntroduction xiiiTable of Constants xivTable of Energy Storing Processes xv1 Simple Harmonic Motion 11.1 Displacement in Simple Harmonic Motion 41.2 Velocity and Acceleration in Simple Harmonic Motion 71.2.1 Non-linearity 81.3 Energy of a Simple Harmonic Oscillator 81.4 Simple Harmonic Oscillations in an Electrical System 121.5 Superposition of Two Simple Harmonic Vibrations in One Dimension 142 Damped Simple Harmonic Motion 212.1 Complex Numbers 222.2 The Exponential Series 222.2.1 The Exponential Series and the Law of Compound Interest 232.2.2 Note on the Binomial Theorem 252.2.3 Region 1. Heavy Damping (r2/4m2 > omega2 0) 282.2.4 Region 2. Critical Damping (r2/4m2 = omega2 0) 302.2.5 Region 3. Damped Simple Harmonic Motion (r2/4m22.3 Methods of Describing the Damping of an Oscillator 332.3.1 Logarithmic Decrement 332.3.2 Relaxation Time or Modulus of Decay 352.3.3 The Quality Factor or Q-value of a Damped Simple Harmonic Oscillator 352.3.4 Energy Dissipation 372.3.5 Damped SHM in an Electrical Circuit 383 The Forced Oscillator 413.1 The Operation of i upon a Vector 413.2 Vector Form of Ohm's Law 433.3 The Tuned LCR Circuit 453.4 Power Supplied to Oscillator by the Input Voltage 473.5 The Q-Value in Terms of the Resonance Absorption Bandwidth 483.6 The Forced Mechanical Oscillator 503.7 Behaviour of Velocity v in Magnitude and Phase versus Driving Force Frequency omega 563.8 Behaviour of Displacement x versus Driving Force Frequency omega 573.9 The Q-Value as an Amplification Factor 593.10 Significance of the Two Components of the Displacement Curve 603.11 Problem on Vibration Insulation 633.12 The Effect of the Transient Term 654 Coupled Oscillations 694.1 Stiffness (or Capacitance) Couple...
