Almost All about Waves

Author: John R. Pierce



Category: Science

Page: 213

View: 402

This text considers waves the great unifying concept of physics, employing minimal mathematics to explore behavior common to earthquake waves, ocean waves, sound waves, and mechanical waves. 1974 edition.

Questions About Elastic Waves

Author: Jüri Engelbrecht

Publisher: Springer


Category: Mathematics

Page: 196

View: 314

This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua. With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity.

Nonlinear Waves in Solids

Author: A. Jeffrey

Publisher: Springer


Category: Technology & Engineering

Page: 382

View: 558

Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.

Nonlinear Wave Dynamics

Complexity and Simplicity

Author: J. Engelbrecht

Publisher: Springer Science & Business Media


Category: Technology & Engineering

Page: 185

View: 511

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.

Understanding Waves and Wave Motion

Author: Randall McPartland

Publisher: Cavendish Square Publishing, LLC


Category: Juvenile Nonfiction

Page: 48

View: 358

Waves and Wave Motion are the keys to communication but they can also help us understand the movement of storms and of planets.

Introduction to Modern Optics

Author: Grant R. Fowles

Publisher: Courier Corporation


Category: Science

Page: 336

View: 368

A complete basic undergraduate course in modern optics for students in physics, technology, and engineering. The first half deals with classical physical optics; the second, quantum nature of light. Solutions.

Great Experiments in Physics

Firsthand Accounts from Galileo to Einstein

Author: Morris H. Shamos

Publisher: Courier Corporation


Category: Science

Page: 384

View: 318

Starting with Galileo's experiments with motion, this study of 25 crucial discoveries includes Newton's laws of motion, Chadwick's study of the neutron, Hertz on electromagnetic waves, and more.

Optical Resonance and Two-Level Atoms

Author: L. Allen

Publisher: Courier Corporation


Category: Science

Page: 256

View: 115

Clear, comprehensive graduate-level account of basic principles involved in all quantum optical resonance phenomena, hailed in Contemporary Physics as "a valuable contribution to the literature of non-linear optics." 53 illustrations.

A First Course in Vibrations and Waves

Author: Mohammad Samiullah

Publisher: Oxford University Press


Category: Vibration

Page: 544

View: 899

The study of vibrations and waves is central to physics and engineering disciplines.This text contains a detailed treatment of vibrations and waves at an introductory level suitable for second and third year students. It builds on first year physics and emphasizes understanding of vibratory motion and waves based on first principles. Since waves appear in almost all branches of physics and engineering, readers will be exposed to many different types of waves; this study aims to draw together their similarities, by examining them in a common language. The book is divided into three parts: Part I contains a preliminary chapter that serves as a review of relevant ideas of mechanics and complex numbers. Part II is devoted to a detailed discussion of vibrations of mechanical systems. This part covers simple harmonic oscillator, coupled oscillators, normal coordinates, beaded string, continuous string, and Fourier series. It concludes with a presentation of stationary solutions of driven finite systems. Part III is concerned with waves, focusing on the discussion of common aspects of all types of waves, and the applications to sound, electromagnetic, and matter waves are illustrated. Finally, relevant examples are provided at the end of the chapters to illustrate the main ideas, and better the reader's understanding.