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Theory And Application Of Acoustic Sources Using Complex Analysis
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Book Synopsis Theory and Application of Acoustic Sources Using Complex Analysis by : Martin Ochmann
Download or read book Theory and Application of Acoustic Sources Using Complex Analysis written by Martin Ochmann and published by Springer Nature. This book was released on 2021-02-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems. Sources whose origin lies in the complex plane are also solutions of the wave equation but possess different radiating properties as their counterparts with real positions. Such mathematical constructions are known in the fields of optics and electrodynamics, but they are not common in acoustical research. The objective of the book is to introduce this concept to acousticians and motivate them to engage themselves in further research and application of complex sources. Such sources are particularly useful to formulate Green’s functions and related equivalent source and boundary element methods in half-spaces.
Book Synopsis Theory and Application of Acoustic Sources Using Complex Analysis by : Martin Ochmann
Download or read book Theory and Application of Acoustic Sources Using Complex Analysis written by Martin Ochmann and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems. Sources whose origin lies in the complex plane are also solutions of the wave equation but possess different radiating properties as their counterparts with real positions. Such mathematical constructions are known in the fields of optics and electrodynamics, but they are not common in acoustical research. The objective of the book is to introduce this concept to acousticians and motivate them to engage themselves in further research and application of complex sources. Such sources are particularly useful to formulate Green's functions and related equivalent source and boundary element methods in half-spaces.
Book Synopsis Advances in Complex Analysis and Applications by : Francisco Bulnes
Download or read book Advances in Complex Analysis and Applications written by Francisco Bulnes and published by BoD – Books on Demand. This book was released on 2020-11-04 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.
Book Synopsis Computational Acoustics by : David R. Bergman
Download or read book Computational Acoustics written by David R. Bergman and published by John Wiley & Sons. This book was released on 2018-01-02 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the theory and practice of innovative new approaches to modelling acoustic propagation There are as many types of acoustic phenomena as there are media, from longitudinal pressure waves in a fluid to S and P waves in seismology. This text focuses on the application of computational methods to the fields of linear acoustics. Techniques for solving the linear wave equation in homogeneous medium are explored in depth, as are techniques for modelling wave propagation in inhomogeneous and anisotropic fluid medium from a source and scattering from objects. Written for both students and working engineers, this book features a unique pedagogical approach to acquainting readers with innovative numerical methods for developing computational procedures for solving problems in acoustics and for understanding linear acoustic propagation and scattering. Chapters follow a consistent format, beginning with a presentation of modelling paradigms, followed by descriptions of numerical methods appropriate to each paradigm. Along the way important implementation issues are discussed and examples are provided, as are exercises and references to suggested readings. Classic methods and approaches are explored throughout, along with comments on modern advances and novel modeling approaches. Bridges the gap between theory and implementation, and features examples illustrating the use of the methods described Provides complete derivations and explanations of recent research trends in order to provide readers with a deep understanding of novel techniques and methods Features a systematic presentation appropriate for advanced students as well as working professionals References, suggested reading and fully worked problems are provided throughout An indispensable learning tool/reference that readers will find useful throughout their academic and professional careers, this book is both a supplemental text for graduate students in physics and engineering interested in acoustics and a valuable working resource for engineers in an array of industries, including defense, medicine, architecture, civil engineering, aerospace, biotech, and more.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Room Acoustical Fields by : Fridolin Mechel
Download or read book Room Acoustical Fields written by Fridolin Mechel and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of room acoustical fields and revises the Mirror Source Methods for practical computational use, emphasizing the wave character of acoustical fields. The presented higher methods include the concepts of “Mirror Point Sources” and “Corner sources which allow for an excellent approximation of complex room geometries and even equipped rooms. In contrast to classical description, this book extends the theory of sound fields describing them by their complex sound pressure and the particle velocity. This approach enables accurate descriptions of interference and absorption phenomena.
Book Synopsis Fundamentals of Acoustic Field Theory and Space-Time Signal Processing by : Lawrence Ziomek
Download or read book Fundamentals of Acoustic Field Theory and Space-Time Signal Processing written by Lawrence Ziomek and published by CRC Press. This book was released on 2020-09-23 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a wealth of information on fundamental topics in the areas of linear air and underwater acoustics, as well as space-time signal processing, this book provides real-world design and analysis equations. As a consequence of the interdisciplinary nature of air and underwater acoustics, the book is divided into two parts: Acoustic Field Theory and Space-Time Signal Processing. It covers the fundamentals of acoustic wave propagation as well as the fundamentals of aperture theory, array theory, and signal processing. Starting with principles and using a consistent, mainly standard notation, this book develops, in detail, basic results that are useful in a variety of air and underwater acoustic applications. Numerous figures, examples, and problems are included.
Book Synopsis Experimental Techniques, Rotating Machinery, and Acoustics, Volume 8 by : James De Clerck
Download or read book Experimental Techniques, Rotating Machinery, and Acoustics, Volume 8 written by James De Clerck and published by Springer. This book was released on 2015-04-09 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental Techniques, Rotating Machinery & Acoustics, Volume 8: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015, the eighth volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Experimental Techniques Processing Modal Data Rotating Machinery Acoustics Adaptive Structures Biodynamics Damping
Book Synopsis Engineering Vibroacoustic Analysis by : Stephen A. Hambric
Download or read book Engineering Vibroacoustic Analysis written by Stephen A. Hambric and published by John Wiley & Sons. This book was released on 2016-05-02 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes analytical methods (based primarily on classical modal synthesis), the Finite Element Method (FEM), Boundary Element Method (BEM), Statistical Energy Analysis (SEA), Energy Finite Element Analysis (EFEA), Hybrid Methods (FEM-SEA and Transfer Path Analysis), and Wave-Based Methods. The book also includes procedures for designing noise and vibration control treatments, optimizing structures for reduced vibration and noise, and estimating the uncertainties in analysis results. Written by several well-known authors, each chapter includes theoretical formulations, along with practical applications to actual structural-acoustic systems. Readers will learn how to use vibroacoustic analysis methods in product design and development; how to perform transient, frequency (deterministic and random), and statistical vibroacoustic analyses; and how to choose appropriate structural and acoustic computational methods for their applications. The book can be used as a general reference for practicing engineers, or as a text for a technical short course or graduate course.
Book Synopsis Acoustic Analyses Using Matlab and Ansys by : Carl Howard
Download or read book Acoustic Analyses Using Matlab and Ansys written by Carl Howard and published by CRC Press. This book was released on 2014-12-18 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the use of ANSYS finite element analysis software and MATLAB to solve acoustic problems. These range from simple textbook problems, to complex ones that can only be solved using FEA software. The book includes instructions on relevant mathematical modelling, and hints on the use of ANSYS software. The MATLAB source code provides readers with valuable tools for doing their own validations, and is available for download. The book provides practical training in the use of FEA for basic modelling and solving acoustic problems.
Book Synopsis Selected Asymptotic Methods with Applications to Electromagnetics and Antennas by : George Fikioris
Download or read book Selected Asymptotic Methods with Applications to Electromagnetics and Antennas written by George Fikioris and published by Morgan & Claypool Publishers. This book was released on 2013-09-01 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes and illustrates the application of several asymptotic methods that have proved useful in the authors' research in electromagnetics and antennas. We first define asymptotic approximations and expansions and explain these concepts in detail. We then develop certain prerequisites from complex analysis such as power series, multivalued functions (including the concepts of branch points and branch cuts), and the all-important gamma function. Of particular importance is the idea of analytic continuation (of functions of a single complex variable); our discussions here include some recent, direct applications to antennas and computational electromagnetics. Then, specific methods are discussed. These include integration by parts and the Riemann-Lebesgue lemma, the use of contour integration in conjunction with other methods, techniques related to Laplace's method and Watson's lemma, the asymptotic behavior of certain Fourier sine and cosine transforms, and the Poisson summation formula (including its version for finite sums). Often underutilized in the literature are asymptotic techniques based on the Mellin transform; our treatment of this subject complements the techniques presented in our recent Synthesis Lecture on the exact (not asymptotic) evaluation of integrals.
Book Synopsis Lloyd’s Register Technical Association 1982-1983 by : Lloyd's Register Foundation
Download or read book Lloyd’s Register Technical Association 1982-1983 written by Lloyd's Register Foundation and published by Lloyd's Register . This book was released on 1982-01-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lloyd’s Register Technical Association (LRTA) was established in 1920 with the primary objective of sharing technical expertise and knowledge within Lloyd’s Register. Publications have consistently been released on a yearly basis, with a brief interruption between 1938 and 1946. These publications serve as a key reference point for best practices and were initially reserved for internal use to maximise LR’s competitive advantage. Today, the LRTA takes a fresh approach, focusing on collaboration by combining professional expertise from across LRF & Group to ensure a frequent output of fresh perspectives and relevant content. The LRTA has evolved into a Group-wide initiative that identifies, captures, and shares knowledge spanning various business streams and functions. To support this modern approach, the LRTA has adopted a new structure featuring representatives and senior governance across the business streams and the LR Foundation. The Lloyd's Register Technical Association Papers should be seen as historical documents representing earlier viewpoints and are not reflective of current thinking and perspectives by the current LR Technical Association.
Book Synopsis Musical Instruments by : Lamberto Tronchin
Download or read book Musical Instruments written by Lamberto Tronchin and published by MDPI. This book was released on 2021-02-19 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the acoustic and vibrational characteristics of musical instruments in terms of their mechanical behavior, sound emission, and characteristics started thousands of years ago, and among the physicists and mathematicians that addressed this matter, we should at least recognize Leonardo da Vinci, with his experimental water organ, and Ernst Chladni, who discovered nodal patterns on rigid surfaces such as soundboards. The growing awareness of our intangible cultural heritage and the need to better understand our roots in the field of music have contributed to increasing the efforts to extend our knowledge in this field, defining new physical parameters, extending the analysis to other musical instruments, and developing new methods to synthesize sound from musical instruments using a simple keyboard.
Book Synopsis Theoretical And Computational Acoustics 2003 by : Alexandra Tolstoy
Download or read book Theoretical And Computational Acoustics 2003 written by Alexandra Tolstoy and published by World Scientific. This book was released on 2004-08-24 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ICTCA conference provides an interdisciplinary forum for active researchers in academia and industry who are of varying backgrounds to discuss the state-of-the-art developments and results in theoretical and computational acoustics and related topics. The papers presented at the meeting cover acoustical problems of common interest across disciplines and their accurate mathematical and numerical modeling.This volume collects papers that were presented at the sixth meeting. The subjects include geophysics, scattering and diffraction, the parabolic equation (with special sessions in honor of Dr Fred Tappert), seismic exploration, boundary element methods, visualization, oil industry applications, shallow water acoustics, matched field tracking, bubbles, waves in complex media, seabed interactions, ocean acoustic inversion, and mathematical issues in underwater acoustics.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1993 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Engineering Materials and Applied Mechanics by : Guangde Zhang
Download or read book Advances in Engineering Materials and Applied Mechanics written by Guangde Zhang and published by CRC Press. This book was released on 2015-10-22 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the rapid development of Machinery, Materials Science and Engineering Application, discussion on new ideas related mechanical engineering and materials science arise. In this proceedings volume the author(s) are focussed on Machinery, Materials Science and Engineering Applications and other related topics. The Conference has pro
Book Synopsis FAA Thesaurus of Technical Descriptors by : United States. Federal Aviation Administration
Download or read book FAA Thesaurus of Technical Descriptors written by United States. Federal Aviation Administration and published by . This book was released on 1969 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
