Singular Equations Of Waves And Vibrations

Author : Marian Apostol
Publisher : Cambridge Scholars Publishing
Page : 199 pages
File Size : 40,7 Mb
Release : 2023-04-17
Category : Mathematics
ISBN : 9781527504974

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Singular Equations of Waves and Vibrations by Marian Apostol Pdf

This book presents an exploration of the wave and vibration equation in one, two and three dimensions, with emphasis on singular solutions. The distinction between the wave treatment and the vibration treatment is particularly discussed with the causality principle being the leading principle for waves in this context. The necessity of regularization of the singular solutions is presented whilst the scattered waves are differentiated from the reflected (and refracted) waves, according to Huygens principle. The physical content of the wave equation is underlined. Relevant applications are included and some more exotic phenomena are discussed, such as pulses, tsunami and storm breakers, the ringing of bells and the collapsing of towers, and classical waves and vibrations in an elastic half-space or a sphere. This book is oriented to students, instructors, teachers, researchers in physics and applied mathematics, as well as engineers and other practitioners of mathematical physics.

Author : MARIAN. APOSTOL
Publisher : Unknown
Page : 0 pages
File Size : 41,5 Mb
Release : 2023-07
Category : Electronic
ISBN : 1527504964

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Singular Equations of Waves and Vibrations by MARIAN. APOSTOL Pdf

This book presents an exploration of the wave and vibration equation in one, two and three dimensions, with emphasis on singular solutions. The distinction between the wave treatment and the vibration treatment is particularly discussed with the causality principle being the leading principle for waves in this context. The necessity of regularization of the singular solutions is presented whilst the scattered waves are differentiated from the reflected (and refracted) waves, according to Huygens principle. The physical content of the wave equation is underlined. Relevant applications are included and some more exotic phenomena are discussed, such as pulses, tsunami and storm breakers, the ringing of bells and the collapsing of towers, and classical waves and vibrations in an elastic half-space or a sphere. This book is oriented to students, instructors, teachers, researchers in physics and applied mathematics, as well as engineers and other practitioners of mathematical physics.

Author : S. Kaliski
Publisher : Elsevier
Page : 395 pages
File Size : 44,7 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483291604

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Vibrations and Waves (Part B: Waves) by S. Kaliski Pdf

This book gives a comprehensive overview of wave phenomena in different media with interacting mechanical, electromagnetic and other fields. Equations describing wave propagation in linear and non-linear elastic media are followed by equations of rheological models, models with internal rotational degrees of freedom and non-local interactions. Equations for coupled fields: thermal, elastic, electromagnetic, piezoelectric, and magneto-spin with adequate boundary conditions are also included. Together with its companion volume Vibrations and Waves. Part A: Vibrations this work provides a wealth of information about dynamical phenomena in different media and fields, which will be of considerable interest to both scientists and graduate students.

Author : David Russell Bland
Publisher : Unknown
Page : 112 pages
File Size : 51,8 Mb
Release : 1960
Category : Differential equations, Hyperbolic
ISBN : UOM:39015015961678

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Vibrating Strings by David Russell Bland Pdf

Author : W. Gough,John Philip Gerald Richards,Rhys Philip Williams
Publisher : Unknown
Page : 272 pages
File Size : 43,5 Mb
Release : 1996
Category : Science
ISBN : STANFORD:36105017611372

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Vibrations and Waves by W. Gough,John Philip Gerald Richards,Rhys Philip Williams Pdf

Vibrations and waves are of fundamental importance themselves as well as being essential prerequisites for many other topics in physics and engineering. The first edition of this undergraduate text has been revised to include the most developments within the discipline of vibrations and waves.

Author : Alain Haraux
Publisher : Unknown
Page : 124 pages
File Size : 48,5 Mb
Release : 1986
Category : Nonlinear systems
ISBN : CORNELL:31924064326360

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Nonlinear Vibrations and the Wave Equation by Alain Haraux Pdf

Author : A.P. French
Publisher : CRC Press
Page : 329 pages
File Size : 50,9 Mb
Release : 2017-12-21
Category : Science
ISBN : 9781482289350

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Vibrations and Waves by A.P. French Pdf

The M.I.T. Introductory Physics Series is the result of a program of careful study, planning, and development that began in 1960. The Education Research Center at the Massachusetts Institute of Technology (formerly the Science Teaching Center) was established to study the process of instruction, aids thereto, and the learning process itself, with special reference to science teaching at the university level. Generous support from a number of foundations provided the means for assembling and maintaining an experienced staff to co-operate with members of the Institute's Physics Department in the examination, improvement, and development of physics curriculum materials for students planning careers in the sciences. After careful analysis of objectives and the problems involved, preliminary versions of textbooks were prepared, tested through classroom use at M.I.T. and other institutions, re-evaluated, rewritten, and tried again. Only then were the final manuscripts undertaken.

Author : R. N. Chaudhuri
Publisher : New Age International
Page : 440 pages
File Size : 43,6 Mb
Release : 2001
Category : Oscillations
ISBN : 8122412912

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Waves and Oscillations by R. N. Chaudhuri Pdf

This Book Explains The Various Dimensions Of Waves And Oscillations In A Simple And Systematic Manner. It Is An Unique Attempt At Presenting A Self-Contained Account Of The Subject With Step-By-Step Solutions Of A Large Number Of Problems Of Different Types. The Book Will Be Of Great Help Not Only To Undergraduate Students, But Also To Those Preparing For Various Competitive Examinations.

Author : Sylwester Kaliski,Lech Solarz
Publisher : Unknown
Page : 404 pages
File Size : 41,5 Mb
Release : 1992
Category : Vibration
ISBN : UOM:39015028409574

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Vibrations and Waves by Sylwester Kaliski,Lech Solarz Pdf

Author : Anonim
Publisher : Unknown
Page : 512 pages
File Size : 43,7 Mb
Release : 1992
Category : Waves
ISBN : UOM:39015028409566

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Vibrations and Waves: Vibrations by Anonim Pdf

Author : Stephen Nettel
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 49,5 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662053171

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Wave Physics by Stephen Nettel Pdf

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.

Author : K. U. Ingard
Publisher : Cambridge University Press
Page : 618 pages
File Size : 55,7 Mb
Release : 1988-07-28
Category : Science
ISBN : 052133957X

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Fundamentals of Waves and Oscillations by K. U. Ingard Pdf

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.

Author : Haiyan Hu
Publisher : Springer Nature
Page : 504 pages
File Size : 42,7 Mb
Release : 2022-02-08
Category : Technology & Engineering
ISBN : 9789811654572

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Vibration Mechanics by Haiyan Hu Pdf

This book is a novel tutorial for research-oriented study of vibration mechanics. The book begins with twelve open problems from six case studies of vibration mechanics in order to guide readers in studying the entire book. Then, the book surveys both theories and methods of linear vibrations in an elementary course from a new perspective of aesthetics of science so as to assist readers to upgrade their way of learning. The successive chapters offer a theoretical frame of linear vibrations and waves, covering the models of vibration systems, the vibration analysis of discrete systems, the natural vibrations of one-dimensional structures, the natural vibrations of symmetric structures, and the waves and vibrations of one-dimensional structures. The chapters help readers solve the twelve open problems step by step during the research-oriented study. The book tries to arouse the interest of graduate students and professionals, who have learnt an elementary course of vibration mechanics of two credits, to conduct the research-oriented study and achieve a helical upgrade understanding to vibration mechanics.

Author : Michael Nosonovsky,Vahid Mortazavi
Publisher : CRC Press
Page : 332 pages
File Size : 48,5 Mb
Release : 2013-08-09
Category : Science
ISBN : 9781466504042

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Friction-Induced Vibrations and Self-Organization by Michael Nosonovsky,Vahid Mortazavi Pdf

Many scientists and engineers do not realize that, under certain conditions, friction can lead to the formation of new structures at the interface, including in situ tribofilms and various patterns. In turn, these structures-usually formed by destabilization of the stationary sliding regime-can lead to the reduction of friction and wear. Friction-I

Author : Benjamin Crowell
Publisher : Light and Matter
Page : 94 pages
File Size : 45,6 Mb
Release : 2000
Category : Light
ISBN : 9780970467034

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Vibrations and Waves by Benjamin Crowell Pdf