Asymptotic Multiple Scale Method In Time Domain

Author : Jan Awrejcewicz,Roman Starosta,Grażyna Sypniewska-Kamińska
Publisher : CRC Press
Page : 506 pages
File Size : 43,8 Mb
Release : 2022-05-10
Category : Mathematics
ISBN : 9781000581270

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Asymptotic Multiple Scale Method in Time Domain by Jan Awrejcewicz,Roman Starosta,Grażyna Sypniewska-Kamińska Pdf

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.

Author : Jan Awrejcewicz,Roman Starosta,Grażyna Sypniewska-Kamińska
Publisher : CRC Press
Page : 411 pages
File Size : 44,6 Mb
Release : 2022-05-10
Category : Mathematics
ISBN : 9781000581256

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Asymptotic Multiple Scale Method in Time Domain by Jan Awrejcewicz,Roman Starosta,Grażyna Sypniewska-Kamińska Pdf

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.

Author : Igor V. Andrianov,Jan Awrejcewicz
Publisher : CRC Press
Page : 265 pages
File Size : 52,9 Mb
Release : 2024-05-16
Category : Mathematics
ISBN : 9781040032718

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Asymptotic Methods for Engineers by Igor V. Andrianov,Jan Awrejcewicz Pdf

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.).

Author : Somnath Ghosh,Dennis Dimiduk
Publisher : Springer Science & Business Media
Page : 669 pages
File Size : 55,6 Mb
Release : 2010-11-17
Category : Science
ISBN : 9781441906434

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Computational Methods for Microstructure-Property Relationships by Somnath Ghosh,Dennis Dimiduk Pdf

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.

Author : Biswa Nath Datta
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461514718

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Applied and Computational Control, Signals, and Circuits by Biswa Nath Datta Pdf

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.

Author : G. Panasenko
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 48,9 Mb
Release : 2005-02-09
Category : Mathematics
ISBN : 1402029810

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Multi-scale Modelling for Structures and Composites by G. Panasenko Pdf

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".

Author : D.G. Crighton,Ann P. Dowling,J.E. Ffowcs Williams,M.A. Heckl,F.A. Leppington
Publisher : Springer Science & Business Media
Page : 747 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781447103998

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Modern Methods in Analytical Acoustics by D.G. Crighton,Ann P. Dowling,J.E. Ffowcs Williams,M.A. Heckl,F.A. Leppington Pdf

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.

Author : Donald Wyman Vasco,Akhil Datta-Gupta
Publisher : Cambridge University Press
Page : 381 pages
File Size : 52,9 Mb
Release : 2016-07-21
Category : Business & Economics
ISBN : 9780521516334

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Subsurface Fluid Flow and Imaging by Donald Wyman Vasco,Akhil Datta-Gupta Pdf

This book provides a unified framework for subsurface imaging based upon asymptotic and trajectory-based methods, with online software applications.

Author : Radyadour K. Zeytounian
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642562150

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Theory and Applications of Nonviscous Fluid Flows by Radyadour K. Zeytounian Pdf

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

Author : Hans G. Kaper,Marc Garbey
Publisher : CRC Press
Page : 290 pages
File Size : 45,9 Mb
Release : 1991-02-25
Category : Mathematics
ISBN : 0585319677

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Asymptotic Analysis and the Numerical Solution of Partial Differential Equations by Hans G. Kaper,Marc Garbey Pdf

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

Author : Iftikhar Ahmed,Zhizhang (David) Chen
Publisher : Springer
Page : 328 pages
File Size : 49,5 Mb
Release : 2014-08-27
Category : Technology & Engineering
ISBN : 9789812870957

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Computational Electromagnetics—Retrospective and Outlook by Iftikhar Ahmed,Zhizhang (David) Chen Pdf

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.

Author : United States. Army Research Office
Publisher : Unknown
Page : 284 pages
File Size : 48,9 Mb
Release : 1984
Category : Military research
ISBN : UOM:39015023306981

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Research in Progress by United States. Army Research Office Pdf

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).

Author : Anonim
Publisher : Unknown
Page : 644 pages
File Size : 54,7 Mb
Release : 1983
Category : Military research
ISBN : UCAL:B3909614

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Research in Progress by Anonim Pdf

Author : Ernst Heinrich Hirschel
Publisher : Springer Science & Business Media
Page : 293 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783540456933

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Numerical Flow Simulation III by Ernst Heinrich Hirschel Pdf

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).

Author : David Y. Gao,Vadim A. Krysko
Publisher : CRC Press
Page : 270 pages
File Size : 42,5 Mb
Release : 2006-05-03
Category : Mathematics
ISBN : 9781420011739

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Introduction to Asymptotic Methods by David Y. Gao,Vadim A. Krysko Pdf

Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important m