Introduction To Generalized Functions With Applications In Aerodynamics And Aeroacoustics

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Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics

Author : National Aeronautics and Space Adm Nasa
Publisher : Independently Published
ISBN 13 : 9781729362686
Total Pages : 54 pages
Book Rating : 4.3/5 (626 download)

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Book Synopsis Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics by : National Aeronautics and Space Adm Nasa

Download or read book Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-29 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized functions have many applications in science and engineering. One useful aspect is that discontinuous functions can be handled as easily as continuous or differentiable functions and provide a powerful tool in formulating and solving many problems of aerodynamics and acoustics. Furthermore, generalized function theory elucidates and unifies many ad hoc mathematical approaches used by engineers and scientists. We define generalized functions as continuous linear functionals on the space of infinitely differentiable functions with compact support, then introduce the concept of generalized differentiation. Generalized differentiation is the most important concept in generalized function theory and the applications we present utilize mainly this concept. First, some results of classical analysis, are derived with the generalized function theory. Other applications of the generalized function theory in aerodynamics discussed here are the derivations of general transport theorems for deriving governing equations of fluid mechanics, the interpretation of the finite part of divergent integrals, the derivation of the Oswatitsch integral equation of transonic flow, and the analysis of velocity field discontinuities as sources of vorticity. Applications in aeroacoustics include the derivation of the Kirchhoff formula for moving surfaces, the noise from moving surfaces, and shock noise source strength based on the Ffowcs Williams-Hawkings equation. Farassat, F. Langley Research Center...

Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics

Author : F. Farassat
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics by : F. Farassat

Download or read book Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics written by F. Farassat and published by . This book was released on 1994 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mathematical Analysis: Theory, Methods, and Applications

Author : Hemen Dutta
Publisher : Springer
ISBN 13 : 3319999184
Total Pages : 809 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Applied Mathematical Analysis: Theory, Methods, and Applications by : Hemen Dutta

Download or read book Applied Mathematical Analysis: Theory, Methods, and Applications written by Hemen Dutta and published by Springer. This book was released on 2019-02-21 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.

Aerodynamics And Aeroacoustics - Proceedings Of The Symposium

Author : Fung K Y
Publisher : World Scientific
ISBN 13 : 9814551570
Total Pages : 384 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Aerodynamics And Aeroacoustics - Proceedings Of The Symposium by : Fung K Y

Download or read book Aerodynamics And Aeroacoustics - Proceedings Of The Symposium written by Fung K Y and published by World Scientific. This book was released on 1994-04-19 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the symposium was to gather fellow researchers, colleagues and friends of Professor William R Sears, a member of the National Academy of Science and the Academy of Engineering, on the occasion of his 80th birthday. Professor Sears is a leader in Aerospace Science and Aerodynamics research and the symposium was held in honour of his work in these areas.The symposium focussed on four areas in aeronautical science in which Professor Sears has made major contributions. These are wing design, unsteady aerodynamics and separation, aeroacoustics and self-correcting wind tunnels.

Mathematical Foundations for Linear Circuits and Systems in Engineering

Author : John J. Shynk
Publisher : John Wiley & Sons
ISBN 13 : 1119073405
Total Pages : 647 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Mathematical Foundations for Linear Circuits and Systems in Engineering by : John J. Shynk

Download or read book Mathematical Foundations for Linear Circuits and Systems in Engineering written by John J. Shynk and published by John Wiley & Sons. This book was released on 2016-02-22 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems Mathematical Foundations for Linear Circuits and Systems in Engineering provides an integrated approach to learning the necessary mathematics specifically used to describe and analyze linear circuits and systems. The chapters develop and examine several mathematical models consisting of one or more equations used in engineering to represent various physical systems. The techniques are discussed in-depth so that the reader has a better understanding of how and why these methods work. Specific topics covered include complex variables, linear equations and matrices, various types of signals, solutions of differential equations, convolution, filter designs, and the widely used Laplace and Fourier transforms. The book also presents a discussion of some mechanical systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries of important functions and their transforms, set theory, series expansions, various identities, and the Lambert W-function are provided in the appendices. The book has the following features: Compares linear circuits and mechanical systems that are modeled by similar ordinary differential equations, in order to provide an intuitive understanding of different types of linear time-invariant systems. Introduces the theory of generalized functions, which are defined by their behavior under an integral, and describes several properties including derivatives and their Laplace and Fourier transforms. Contains numerous tables and figures that summarize useful mathematical expressions and example results for specific circuits and systems, which reinforce the material and illustrate subtle points. Provides access to a companion website that includes a solutions manual with MATLAB code for the end-of-chapter problems. Mathematical Foundations for Linear Circuits and Systems in Engineering is written for upper undergraduate and first-year graduate students in the fields of electrical and mechanical engineering. This book is also a reference for electrical, mechanical, and computer engineers as well as applied mathematicians. John J. Shynk, PhD, is Professor of Electrical and Computer Engineering at the University of California, Santa Barbara. He was a Member of Technical Staff at Bell Laboratories, and received degrees in systems engineering, electrical engineering, and statistics from Boston University and Stanford University.

The Calculus of Complex Functions

Author : William Johnston
Publisher : American Mathematical Society
ISBN 13 : 1470465655
Total Pages : 456 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Calculus of Complex Functions by : William Johnston

Download or read book The Calculus of Complex Functions written by William Johnston and published by American Mathematical Society. This book was released on 2022-04-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces complex analysis as a natural extension of the calculus of real-valued functions. The mechanism for doing so is the extension theorem, which states that any real analytic function extends to an analytic function defined in a region of the complex plane. The connection to real functions and calculus is then natural. The introduction to analytic functions feels intuitive and their fundamental properties are covered quickly. As a result, the book allows a surprisingly large coverage of the classical analysis topics of analytic and meromorphic functions, harmonic functions, contour integrals and series representations, conformal maps, and the Dirichlet problem. It also introduces several more advanced notions, including the Riemann hypothesis and operator theory, in a manner accessible to undergraduates. The last chapter describes bounded linear operators on Hilbert and Banach spaces, including the spectral theory of compact operators, in a way that also provides an excellent review of important topics in linear algebra and provides a pathway to undergraduate research topics in analysis. The book allows flexible use in a single semester, full-year, or capstone course in complex analysis. Prerequisites can range from only multivariate calculus to a transition course or to linear algebra or real analysis. There are over one thousand exercises of a variety of types and levels. Every chapter contains an essay describing a part of the history of the subject and at least one connected collection of exercises that together comprise a project-level exploration.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.:/5 (3 download)

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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 1994 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smart Cities

Author : Houbing Song
Publisher : John Wiley & Sons
ISBN 13 : 1119226430
Total Pages : 872 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Smart Cities by : Houbing Song

Download or read book Smart Cities written by Houbing Song and published by John Wiley & Sons. This book was released on 2017-06-21 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the foundations and principles needed for addressing the various challenges of developing smart cities Smart cities are emerging as a priority for research and development across the world. They open up significant opportunities in several areas, such as economic growth, health, wellness, energy efficiency, and transportation, to promote the sustainable development of cities. This book provides the basics of smart cities, and it examines the possible future trends of this technology. Smart Cities: Foundations, Principles, and Applications provides a systems science perspective in presenting the foundations and principles that span multiple disciplines for the development of smart cities. Divided into three parts—foundations, principles, and applications—Smart Cities addresses the various challenges and opportunities of creating smart cities and all that they have to offer. It also covers smart city theory modeling and simulation, and examines case studies of existing smart cities from all around the world. In addition, the book: Addresses how to develop a smart city and how to present the state of the art and practice of them all over the world Focuses on the foundations and principles needed for advancing the science, engineering, and technology of smart cities—including system design, system verification, real-time control and adaptation, Internet of Things, and test beds Covers applications of smart cities as they relate to smart transportation/connected vehicle (CV) and Intelligent Transportation Systems (ITS) for improved mobility, safety, and environmental protection Smart Cities: Foundations, Principles, and Applications is a welcome reference for the many researchers and professionals working on the development of smart cities and smart city-related industries.

The Partition Method for a Power Series Expansion

Author : Victor Kowalenko
Publisher : Academic Press
ISBN 13 : 0128045116
Total Pages : 314 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis The Partition Method for a Power Series Expansion by : Victor Kowalenko

Download or read book The Partition Method for a Power Series Expansion written by Victor Kowalenko and published by Academic Press. This book was released on 2017-01-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics. In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established. Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics. - Explains the partition method by presenting elementary applications involving the Bernoulli, cosecant, and reciprocal logarithm numbers - Compares generating partitions via the BRCP algorithm with the standard lexicographic approaches - Describes how to program the partition method for a power series expansion and the BRCP algorithm

Green Connected Automated Transportation and Safety

Author : Wuhong Wang
Publisher : Springer Nature
ISBN 13 : 9811654298
Total Pages : 841 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Green Connected Automated Transportation and Safety by : Wuhong Wang

Download or read book Green Connected Automated Transportation and Safety written by Wuhong Wang and published by Springer Nature. This book was released on 2021-12-13 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings gather selected papers from the 11th International Conference on Green Intelligent Transportation Systems and Safety, held in Beijing, China on October 17-19, 2020. The book features cutting-edge studies on Green Intelligent Mobility Systems, the guiding motto being to achieve “green, intelligent, and safe transportation systems”. The contributions presented here can help promote the development of green mobility and intelligent transportation technologies to improve interconnectivity, resource sharing, flexibility and efficiency. Given its scope, the book will benefit researchers and engineers in the fields of Transportation Technology and Traffic Engineering, Automotive and Mechanical Engineering, Industrial and System Engineering, and Electrical Engineering alike. The readers will be able to find out the Advances in Green Intelligent Transportation System and Safety.

Generalized Functions Theory and Technique

Author : Ram P. Kanwal
Publisher : Springer Science & Business Media
ISBN 13 : 1468400355
Total Pages : 474 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Generalized Functions Theory and Technique by : Ram P. Kanwal

Download or read book Generalized Functions Theory and Technique written by Ram P. Kanwal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Generalized Functions has been strengthened in many ways. The already extensive set of examples has been expanded. Since the publication of the first edition, there has been tremendous growth in the subject and I have attempted to incorporate some of these new concepts. Accordingly, almost all the chapters have been revised. The bibliography has been enlarged considerably. Some of the material has been reorganized. For example, Chapters 12 and 13 of the first edition have been consolidated into Chapter 12 of this edition by a judicious process of elimination and addition of the subject matter. The new Chapter 13 explains the interplay between the theories of moments, asymptotics, and singular perturbations. Similarly, some sections of Chapter 15 have been revised and included in earlier chapters to improve the logical flow of ideas. However, two sections are retained. The section dealing with the application of the probability theory has been revised, and I am thankful to Professor Z.L. Crvenkovic for her help. The new material included in this chapter pertains to the modern topics of periodic distributions and microlocal theory. I have demonstrated through various examples that familiarity with the generalized functions is very helpful for students in physical sciences and technology. For instance, the reader will realize from Chapter 6 how the generalized functions have revolutionized the Fourier analysis which is being used extensively in many fields of scientific activity.

Acoustic Waves

Author : Marco G. Beghi
Publisher : BoD – Books on Demand
ISBN 13 : 9533075724
Total Pages : 670 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Acoustic Waves by : Marco G. Beghi

Download or read book Acoustic Waves written by Marco G. Beghi and published by BoD – Books on Demand. This book was released on 2011-11-14 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of acoustic wave is a pervasive one, which emerges in any type of medium, from solids to plasmas, at length and time scales ranging from sub-micrometric layers in microdevices to seismic waves in the Sun's interior. This book presents several aspects of the active research ongoing in this field. Theoretical efforts are leading to a deeper understanding of phenomena, also in complicated environments like the solar surface boundary. Acoustic waves are a flexible probe to investigate the properties of very different systems, from thin inorganic layers to ripening cheese to biological systems. Acoustic waves are also a tool to manipulate matter, from the delicate evaporation of biomolecules to be analysed, to the phase transitions induced by intense shock waves. And a whole class of widespread microdevices, including filters and sensors, is based on the behaviour of acoustic waves propagating in thin layers. The search for better performances is driving to new materials for these devices, and to more refined tools for their analysis.

Theoretical And Computational Acoustics - Proceedings Of The International Conference (In 2 Volumes)

Author : John E Ffowcs Williams
Publisher : World Scientific
ISBN 13 : 9814551724
Total Pages : 1028 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Theoretical And Computational Acoustics - Proceedings Of The International Conference (In 2 Volumes) by : John E Ffowcs Williams

Download or read book Theoretical And Computational Acoustics - Proceedings Of The International Conference (In 2 Volumes) written by John E Ffowcs Williams and published by World Scientific. This book was released on 1994-10-25 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference provided a forum for active researchers to discuss the state of the art in theoretical and computational acoustics. Topics covered structural acoustics, scattering, 3-dimensional propagational problems, fluid/elastic interfaces, wavelets and their impact on acoustics, computational methods and supercomputing.

Lecture Notes on the Mathematics of Acoustics

Author : Matthew C. M. Wright
Publisher : World Scientific
ISBN 13 : 1860944965
Total Pages : 310 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Lecture Notes on the Mathematics of Acoustics by : Matthew C. M. Wright

Download or read book Lecture Notes on the Mathematics of Acoustics written by Matthew C. M. Wright and published by World Scientific. This book was released on 2005 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures given at a one week summer school held at the University of Southampton, July 2003.

Generalized Functions

Author : Ram P. Kanwal
Publisher : Springer Science & Business Media
ISBN 13 : 0817681744
Total Pages : 490 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Generalized Functions by : Ram P. Kanwal

Download or read book Generalized Functions written by Ram P. Kanwal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular attention given to better delineating connections to varying applications Exposition driven by additional examples and exercises

NASA Technical Memorandum

Author :
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis NASA Technical Memorandum by :

Download or read book NASA Technical Memorandum written by and published by . This book was released on 1963 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Active Control of Vibration

Author : Christopher C. Fuller
Publisher : Academic Press
ISBN 13 : 0080525911
Total Pages : 345 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Active Control of Vibration by : Christopher C. Fuller

Download or read book Active Control of Vibration written by Christopher C. Fuller and published by Academic Press. This book was released on 1996-02-08 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a companion text to Active Control of Sound by P.A. Nelson and S.J. Elliott, also published by Academic Press. It summarizes the principles underlying active vibration control and its practical applications by combining material from vibrations, mechanics, signal processing, acoustics, and control theory. The emphasis of the book is on the active control of waves in structures, the active isolation of vibrations, the use of distributed strain actuators and sensors, and the active control of structurally radiated sound. The feedforward control of deterministic disturbances, the active control of structural waves and the active isolation of vibrations are covered in detail, as well as the more conventional work on modal feedback. The principles of the transducers used as actuateors and sensors for such control strategies are also given an in-depth description. The reader will find particularly interesting the two chapters on the active control of sound radiation from structures: active structural acoustic control. The reason for controlling high frequency vibration is often to prevent sound radiation, and the principles and practical application of such techniques are presented here for both plates and cylinders. The volume is written in textbook style and is aimed at students, practicing engineers, and researchers. - Combines material from vibrations, signal processing, mechanics, and controls - Summarizes new research in the field