Asymptotic Multiple Scale Method in Time Domain

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Publisher : CRC Press
ISBN 13 : 1000581276
Total Pages : 506 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Asymptotic Multiple Scale Method in Time Domain by : Jan Awrejcewicz

Download or read book Asymptotic Multiple Scale Method in Time Domain written by Jan Awrejcewicz and published by CRC Press. This book was released on 2022-05-10 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers up novel research which uses analytical approaches to explore nonlinear features exhibited by various dynamic processes. Relevant to disciplines across engineering and physics, the asymptotic method combined with the multiple scale method is shown to be an efficient and intuitive way to approach mechanics. Beginning with new material on the development of cutting-edge asymptotic methods and multiple scale methods, the book introduces this method in time domain and provides examples of vibrations of systems. Clearly written throughout, it uses innovative graphics to exemplify complex concepts such as nonlinear stationary and nonstationary processes, various resonances and jump pull-in phenomena. It also demonstrates the simplification of problems through using mathematical modelling, by employing the use of limiting phase trajectories to quantify nonlinear phenomena. Particularly relevant to structural mechanics, in rods, cables, beams, plates and shells, as well as mechanical objects commonly found in everyday devices such as mobile phones and cameras, the book shows how each system is modelled, and how it behaves under various conditions. It will be of interest to engineers and professionals in mechanical engineering and structural engineering, alongside those interested in vibrations and dynamics. It will also be useful to those studying engineering maths and physics.

Asymptotic Multiple Scale Method in Time Domain

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Author :
Publisher : CRC Press
ISBN 13 : 100058125X
Total Pages : 411 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Asymptotic Multiple Scale Method in Time Domain by : Jan Awrejcewicz

Download or read book Asymptotic Multiple Scale Method in Time Domain written by Jan Awrejcewicz and published by CRC Press. This book was released on 2022-05-10 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers up novel research which uses analytical approaches to explore nonlinear features exhibited by various dynamic processes. Relevant to disciplines across engineering and physics, the asymptotic method combined with the multiple scale method is shown to be an efficient and intuitive way to approach mechanics. Beginning with new material on the development of cutting-edge asymptotic methods and multiple scale methods, the book introduces this method in time domain and provides examples of vibrations of systems. Clearly written throughout, it uses innovative graphics to exemplify complex concepts such as nonlinear stationary and nonstationary processes, various resonances and jump pull-in phenomena. It also demonstrates the simplification of problems through using mathematical modelling, by employing the use of limiting phase trajectories to quantify nonlinear phenomena. Particularly relevant to structural mechanics, in rods, cables, beams, plates and shells, as well as mechanical objects commonly found in everyday devices such as mobile phones and cameras, the book shows how each system is modelled, and how it behaves under various conditions. It will be of interest to engineers and professionals in mechanical engineering and structural engineering, alongside those interested in vibrations and dynamics. It will also be useful to those studying engineering maths and physics.

Asymptotic Methods for Engineers

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Publisher : CRC Press
ISBN 13 : 1040032710
Total Pages : 265 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Asymptotic Methods for Engineers by : Igor V. Andrianov

Download or read book Asymptotic Methods for Engineers written by Igor V. Andrianov and published by CRC Press. This book was released on 2024-05-16 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Methods for Engineers is based on the authors’ many years of practical experience in the application of asymptotic methods to solve engineering problems. This book is devoted to modern asymptotic methods (AM), which is widely used in engineering, applied sciences, physics, and applied mathematics. Avoiding complex formal calculations and justifications, the book’s main goal is to describe the main ideas and algorithms. Moreover, not only is there a presentation of the main AM, but there is also a focus on demonstrating their unity and inseparable connection with the methods of summation and asymptotic interpolation. The book will be useful for students and researchers from applied mathematics and physics and of interest to doctoral and graduate students, university and industry professors from various branches of engineering (mechanical, civil, electro-mechanical, etc.).

Computational Methods for Microstructure-Property Relationships

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Publisher : Springer Science & Business Media
ISBN 13 : 1441906436
Total Pages : 669 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Computational Methods for Microstructure-Property Relationships by : Somnath Ghosh

Download or read book Computational Methods for Microstructure-Property Relationships written by Somnath Ghosh and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Microstructure-Property Relationships introduces state-of-the-art advances in computational modeling approaches for materials structure-property relations. Written with an approach that recognizes the necessity of the engineering computational mechanics framework, this volume provides balanced treatment of heterogeneous materials structures within the microstructural and component scales. Encompassing both computational mechanics and computational materials science disciplines, this volume offers an analysis of the current techniques and selected topics important to industry researchers, such as deformation, creep and fatigue of primarily metallic materials. Researchers, engineers and professionals involved with predicting performance and failure of materials will find Computational Methods for Microstructure-Property Relationships a valuable reference.

Multiple Scale and Singular Perturbation Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 1461239680
Total Pages : 642 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Multiple Scale and Singular Perturbation Methods by : J.K. Kevorkian

Download or read book Multiple Scale and Singular Perturbation Methods written by J.K. Kevorkian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.

Applied and Computational Control, Signals, and Circuits

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Publisher : Springer Science & Business Media
ISBN 13 : 1461514711
Total Pages : 298 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Applied and Computational Control, Signals, and Circuits by : Biswa Nath Datta

Download or read book Applied and Computational Control, Signals, and Circuits written by Biswa Nath Datta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied and Computational Control, Signals, and Circuits: Recent Developments is an interdisciplinary book blending mathematics, computational mathematics, scientific computing and software engineering with control and systems theory, signal processing, and circuit simulations. The material consists of seven state-of-the-art review chapters, each written by a leading expert in that field. Each of the technical chapters deals exclusively with some of the recent developments involving applications and computations of control, signals and circuits. Also included is a Chapter focusing on the newly developed Fortran-based software library, called SLICOT, for control systems design and analysis. This collection will be an excellent reference work for research scientists, practicing engineers, and graduate level students of control and systems, circuit design, power systems and signal processing.

Multi-scale Modelling for Structures and Composites

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402029813
Total Pages : 426 pages
Book Rating : 4.0/5 (298 download)

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Book Synopsis Multi-scale Modelling for Structures and Composites by : G. Panasenko

Download or read book Multi-scale Modelling for Structures and Composites written by G. Panasenko and published by Springer Science & Business Media. This book was released on 2005-02-09 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in this book. The methods of multi-scale modelling are presented by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms".

Modern Methods in Analytical Acoustics

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Publisher : Springer Science & Business Media
ISBN 13 : 1447103998
Total Pages : 747 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Modern Methods in Analytical Acoustics by : D.G. Crighton

Download or read book Modern Methods in Analytical Acoustics written by D.G. Crighton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Methods in Analytical Acoustics considers topics fundamental to the understanding of noise, vibration and fluid mechanisms. The series of lectures on which this material is based began by some twenty five years ago and has been developed and expanded ever since. Acknowledged experts in the field have given this course many times in Europe and the USA. Although the scope of the course has widened considerably, the primary aim of teaching analytical techniques of acoustics alongside specific areas of wave motion and unsteady fluid mechanisms remains. The distinguished authors of this volume are drawn from Departments of Acoustics, Engineering of Applied Mathematics in Berlin, Cambridge and London. Their intention is to reach a wider audience of all those concerned with acoustic analysis than has been able to attend the course.

Subsurface Fluid Flow and Imaging

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Publisher : Cambridge University Press
ISBN 13 : 0521516331
Total Pages : 381 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Subsurface Fluid Flow and Imaging by : Donald Wyman Vasco

Download or read book Subsurface Fluid Flow and Imaging written by Donald Wyman Vasco and published by Cambridge University Press. This book was released on 2016-07-21 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified framework for subsurface imaging based upon asymptotic and trajectory-based methods, with online software applications.

Theory and Applications of Nonviscous Fluid Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 3642562159
Total Pages : 295 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Theory and Applications of Nonviscous Fluid Flows by : Radyadour K. Zeytounian

Download or read book Theory and Applications of Nonviscous Fluid Flows written by Radyadour K. Zeytounian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks." Mathematical Reviews

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations

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Publisher : CRC Press
ISBN 13 : 9780585319674
Total Pages : 290 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Asymptotic Analysis and the Numerical Solution of Partial Differential Equations by : Hans G. Kaper

Download or read book Asymptotic Analysis and the Numerical Solution of Partial Differential Equations written by Hans G. Kaper and published by CRC Press. This book was released on 1991-02-25 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per

Computational Electromagnetics—Retrospective and Outlook

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Publisher : Springer
ISBN 13 : 9812870954
Total Pages : 328 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Computational Electromagnetics—Retrospective and Outlook by : Iftikhar Ahmed

Download or read book Computational Electromagnetics—Retrospective and Outlook written by Iftikhar Ahmed and published by Springer. This book was released on 2014-08-27 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book will cover the past, present and future developments of field theory and computational electromagnetics. The first two chapters will give an overview of the historical developments and the present the state-of-the-art in computational electromagnetics. These two chapters will set the stage for discussing recent progress, new developments, challenges, trends and major directions in computational electromagnetics with three main emphases: a. Modeling of ever larger structures with multi-scale dimensions and multi-level descriptions (behavioral, circuit, network and field levels) and transient behaviours b. Inclusions of physical effects other than electromagnetic: quantum effects, thermal effects, mechanical effects and nano scale features c. New developments in available computer hardware, programming paradigms (MPI, Open MP, CUDA and Open CL) and the associated new modeling approaches These are the current emerging topics in the area of computational electromagnetics and may provide readers a comprehensive overview of future trends and directions in the area. The book is written for students, research scientists, professors, design engineers and consultants who engaged in the fields of design, analysis and research of the emerging technologies related to computational electromagnetics, RF/microwave, optimization, new numerical methods, as well as accelerator simulator, dispersive materials, nano-antennas, nano-waveguide, nano-electronics, terahertz applications, bio-medical and material sciences. The book may also be used for those involved in commercializing electromagnetic and related emerging technologies, sensors and the semiconductor industry. The book can be used as a reference book for graduates and post graduates. It can also be used as a text book for workshops and continuing education for researchers and design engineers.

Research in Progress

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Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Research in Progress by : United States. Army Research Office

Download or read book Research in Progress written by United States. Army Research Office and published by . This book was released on 1984 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1977- consist of two parts: Chemistry, biological sciences, engineering sciences, metallurgy and materials science (issued in the spring); and Physics, electronics, mathematics, geosciences (issued in the fall).

Research in Progress

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Publisher :
ISBN 13 :
Total Pages : 644 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Research in Progress by :

Download or read book Research in Progress written by and published by . This book was released on 1983 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Analysis for Periodic Structures

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Publisher :
ISBN 13 : 9781470415815
Total Pages : pages
Book Rating : 4.4/5 (158 download)

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Book Synopsis Asymptotic Analysis for Periodic Structures by : Alain Bensoussan

Download or read book Asymptotic Analysis for Periodic Structures written by Alain Bensoussan and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool, combined with energy methods and the construction of test functions for analysis with weak convergence met.

Numerical Flow Simulation III

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Publisher : Springer Science & Business Media
ISBN 13 : 3540456937
Total Pages : 293 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Numerical Flow Simulation III by : Ernst Heinrich Hirschel

Download or read book Numerical Flow Simulation III written by Ernst Heinrich Hirschel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eighteen reports on work, which is conducted since 2000 in the Collaborative Research Programme 'Numerical Flow Simulation' of the Centre National de la Recherche Scientifique (CNRS) and the Deutsche Forschungsgemeinschaft (DFG). French and German engineers and mathematicians present their joint research on the topics 'Development of Solution Techniques', 'Crystal Growth and Melts', 'Flows of Reacting Gases, Sound Generation' and 'Turbulent Flows'. In the background of their work is the still strong growth of the performance of super-computer architectures, which, together with large advances in algorithms, is opening vast new application areas of numerical flow simulation in research and industrial work. Results of this programme from the period 1996 to 1998 have been presented in NNFM 66 (1998), and NNFM75 (2001).

Computational Methods for Multi-scale/multi-physics Problems in Heterogeneous/composite Structures

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Publisher :
ISBN 13 :
Total Pages : 972 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Computational Methods for Multi-scale/multi-physics Problems in Heterogeneous/composite Structures by : Peter Woo Young Chung

Download or read book Computational Methods for Multi-scale/multi-physics Problems in Heterogeneous/composite Structures written by Peter Woo Young Chung and published by . This book was released on 1999 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt: