Physical Fundamentals of Oscillations

Physical Fundamentals of Oscillations
Author: Leonid Chechurin
Publisher: Springer
Total Pages: 262
Release: 2018-04-16
Genre: Technology & Engineering
ISBN: 3319751549

Download Physical Fundamentals of Oscillations Book in PDF, Epub and Kindle

The book introduces possibly the most compact, simple and physically understandable tool that can describe, explain, predict and design the widest set of phenomena in time-variant and nonlinear oscillations. The phenomena described include parametric resonances, combined resonances, instability of forced oscillations, synchronization, distributed parameter oscillation and flatter, parametric oscillation control, robustness of oscillations and many others. Although the realm of nonlinear oscillations is enormous, the book relies on the concept of minimum knowledge for maximum understanding. This unique tool is the method of stationarization, or one frequency approximation of parametric resonance problem analysis in linear time-variant dynamic systems. The book shows how this can explain periodic motion stability in stationary nonlinear dynamic systems, and reveals the link between the harmonic stationarization coefficients and describing functions. As such, the book speaks the language of control: transfer functions, frequency response, Nyquist plot, stability margins, etc. An understanding of the physics of stability loss is the basis for the design of new oscillation control methods for, several of which are presented in the book. These and all the other findings are illustrated by numerical examples, which can be easily reproduced by readers equipped with a basic simulation package like MATLAB with Simulink. The book offers a simple tool for all those travelling through the world of oscillations, helping them discover its hidden beauty. Researchers can use the method to uncover unknown aspects, and as a reference to compare it with other, for example, abstract mathematical means. Further, it provides engineers with a minimalistic but powerful instrument based on physically measurable variables to analyze and design oscillatory systems.

Fundamentals of Waves and Oscillations

Fundamentals of Waves and Oscillations
Author: K. U. Ingard
Publisher: Cambridge University Press
Total Pages: 618
Release: 1988-07-28
Genre: Science
ISBN: 9780521339575

Download Fundamentals of Waves and Oscillations Book in PDF, Epub and Kindle

This textbook, addressed primarily to physics and engineering students, is a comprehensive introduction to waves and oscillations, both mechanical and electromagnetic. Elementary aspects of matter waves are also considered. One objective is to illustrate the physics involved in the description and analysis of waves through a wide range of examples, from purely mechanical and purely electromagnetic to coupled electro-mechanical waves, such as plasma oscillations and hydromagnetic waves. In this process, the use of complex amplitudes in the mathematical analysis is illuminated and encouraged to make tractable a wider range of problems than is ordinarily considered in an introductory text. General concepts and wave phenomena such as wave energy and momentum, interference, diffraction, scattering, dispersion, and the Doppler effect are illustrated by numerous examples and demonstrations. Among the special topics covered are waves on periodic structures and in solids, wave guides, a detailed analysis of light scattering from thermal fluctuations of a liquid surface, and feedback instabilities. Important ideas and equations are displayed in boxes for easy reference, and there are numerous examples throughout the text and exercises at the end of every chapter. Undergraduates and graduates should find this an indispensable account of this central subject in science and engineering.

Oscillations and Waves

Oscillations and Waves
Author: Fritz K. Kneubühl
Publisher: Springer Science & Business Media
Total Pages: 537
Release: 2013-03-09
Genre: Science
ISBN: 3662034689

Download Oscillations and Waves Book in PDF, Epub and Kindle

This very comprehensive and practical textbook presents a clear, systematic and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves. It explains even the most complicated cases clearly, with numerous illustrations for further clarification.

Waves

Waves
Author: Sanichiro Yoshida
Publisher:
Total Pages:
Release: 2017
Genre: SCIENCE
ISBN: 9781681745756

Download Waves Book in PDF, Epub and Kindle

Waves: Fundamentals and dynamics' discusses the various aspects of wave dynamics from many different perspectives. The main topics include the fundamentals of oscillations and waves, the big picture of wave dynamics as a propagation of oscillation, the mathematical aspects of waves, the various properties of waves, and the propagation of waves along with some actual techniques. Each concept is broken down to be as easily digestible as possible in order to facilitate understanding of the underlying physics.

Introduction to Vibrations and Waves

Introduction to Vibrations and Waves
Author: H. John Pain
Publisher: John Wiley & Sons
Total Pages: 372
Release: 2015-03-30
Genre: Science
ISBN: 1118441087

Download Introduction to Vibrations and Waves Book in PDF, Epub and Kindle

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 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 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

Physics of Oscillations and Waves

Physics of Oscillations and Waves
Author: Arnt Inge Vistnes
Publisher: Springer
Total Pages: 584
Release: 2018-08-21
Genre: Science
ISBN: 3319723146

Download Physics of Oscillations and Waves Book in PDF, Epub and Kindle

In this textbook a combination of standard mathematics and modern numerical methods is used to describe a wide range of natural wave phenomena, such as sound, light and water waves, particularly in specific popular contexts, e.g. colors or the acoustics of musical instruments. It introduces the reader to the basic physical principles that allow the description of the oscillatory motion of matter and classical fields, as well as resulting concepts including interference, diffraction, and coherence. Numerical methods offer new scientific insights and make it possible to handle interesting cases that can’t readily be addressed using analytical mathematics; this holds true not only for problem solving but also for the description of phenomena. Essential physical parameters are brought more into focus, rather than concentrating on the details of which mathematical trick should be used to obtain a certain solution. Readers will learn how time-resolved frequency analysis offers a deeper understanding of the interplay between frequency and time, which is relevant to many phenomena involving oscillations and waves. Attention is also drawn to common misconceptions resulting from uncritical use of the Fourier transform. The book offers an ideal guide for upper-level undergraduate physics students and will also benefit physics instructors. Program codes in Matlab and Python, together with interesting files for use in the problems, are provided as free supplementary material.

Fundamentals of Waves and Oscillations

Fundamentals of Waves and Oscillations
Author: K. Uno Ingard
Publisher:
Total Pages: 595
Release: 1988
Genre: Oscillations
ISBN: 9780052132737

Download Fundamentals of Waves and Oscillations Book in PDF, Epub and Kindle

This is a complete introduction to the theory of waves and oscillations as encountered by physics and engineering students. It discusses both the mathematical theory and the physics of phenomena such as waves in fluids, electromagnetic waves, and discrete coupled oscillators in mechanics and electronics. The author gives a description of the mathematics of complex amplitudes and introduces forced and free oscillations and normal modes of resonance. Chapters cover wave guides, barrier penetration, and electromagnetic transmission. One section, devoted solely to surface waves, includes a discussion on light scattering and the determination of surface tension and viscosity, plasma oscillations, and feedback oscillations. Ideas and equations are displayed for easy reference, and sets of exercises follow each chapter.

Oscillations and Waves

Oscillations and Waves
Author: Richard Fitzpatrick
Publisher: CRC Press
Total Pages: 293
Release: 2013-01-07
Genre: Science
ISBN: 1466566094

Download Oscillations and Waves Book in PDF, Epub and Kindle

Bridging lower-division physics survey courses with upper-division physics courses, Oscillations and Waves: An Introduction develops a unified mathematical theory of oscillations and waves in physical systems. Emphasizing physics over mathematics, the author includes many examples from discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. Assuming familiarity with the laws of physics and college-level mathematics, the book focuses on oscillations and waves whose governing differential equations are linear. The author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. He also introduces the conventional complex representation of oscillations and waves later in the text during the discussion of quantum mechanical waves. This helps students thoroughly understand how to represent oscillations and waves in terms of regular trigonometric functions before using the more convenient, but much more abstract, complex representation. Based on the author’s longstanding course at the University of Texas at Austin, this classroom-tested text helps students acquire a sound physical understanding of wave phenomena. It eases students’ difficult transition between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations.

Wave Physics

Wave Physics
Author: Stephen Nettel
Publisher: Springer Science & Business Media
Total Pages: 297
Release: 2013-04-17
Genre: Science
ISBN: 3662053179

Download Wave Physics Book in PDF, Epub and Kindle

This textbook gives a detailed explanation of waves and oscillations in classical physics. These classical phenomena are dealt with at a more advanced level than is customary for second-year courses. All aspects of classical wave physics are presented, including the mathematical and physical basis needed for extended understanding. Finally several chapters are devoted to important topics in current wave physics. Special attention is given to nonlinear waves, solitons, chaotic behavior and associated phenomena. The new edition contains improvements such as full development of Greens functions, a broadening of the treatment of wave mechanics and a closer integration with classical mechanics, plus more examples and problems.

Waves And Oscillations

Waves And Oscillations
Author: R. N. Chaudhuri
Publisher:
Total Pages: 0
Release: 2009
Genre: Mathematical physics
ISBN: 9788122426793

Download Waves And Oscillations Book in PDF, Epub and Kindle

About the Book: The book presents a comprehensive study of Waves and Oscillations in different fields of physics. It explains the basic concepts of waves and oscillations through the method of solving problems. Each chapter begins with the short and clear description of the basic concepts and principles. This is followed by a large number of solved problems of different types. The proofs of relevant theorems and derivations of basic equations and formulae are included among the solved problems. A large number of supplementary problems at the end of each chapter serve as a complete review of the theory. The topics discussed include simple harmonic motion, superposition principle and coupled oscillations, damped harmonic oscillations, forced vibrations and resonance, waves, superposition of waves, Fourier analysis, vibrations of strings and membranes, Doppler effect, acoustics of buildings, electromagnetic waves, interference and diffraction. There are more than 370 solved problems and around 380 supplementary problems with answers. This book will be of great help not only to B.Sc.(Honours and Pass) students of physics but also to those preparing for various competitive examinations. About the Author: Dr. R.N. Chaudhuri retired from Visva-Bharati, Santiniketan in 2005. He was Professor and Head of the Department of Physics in Visva-Bharati. He served as Lecturer in Physics at Hindu College, University of Delhi during the period 1971-76. He received his Ph.D. Degree from University of Delhi in the field of particles and their interactions. Professor Chaudhuri visited several foreign universities and institutes. He published more than fifty papers in national and international journals of repute.