Transfer Matrix Method for Multibody Systems

Transfer Matrix Method for Multibody Systems

Author: Xiaoting Rui

Publisher: John Wiley & Sons

Published: 2018-10-01

Total Pages: 766

ISBN-13: 1118724828

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TRANSFER MATRIX METHOD FOR MULTIBODY SYSTEMS: THEORY AND APPLICATIONS Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, China Featuring a new method of multibody system dynamics, this book introduces the transfer matrix method systematically for the first time. First developed by the lead author and his research team, this method has found numerous engineering and technological applications. Readers are first introduced to fundamental concepts like the body dynamics equation, augmented operator and augmented eigenvector before going in depth into precision analysis and computations of eigenvalue problems as well as dynamic responses. The book also covers a combination of mixed methods and practical applications in multiple rocket launch systems, self-propelled artillery as well as launch dynamics of on-ship weaponry. • Comprehensively introduces a new method of analyzing multibody dynamics for engineers • Provides a logical development of the transfer matrix method as applied to the dynamics of multibody systems that consist of interconnected bodies • Features varied applications in weaponry, aeronautics, astronautics, vehicles and robotics Written by an internationally renowned author and research team with many years' experience in multibody systems Transfer Matrix Method of Multibody System and Its Applications is an advanced level text for researchers and engineers in mechanical system dynamics. It is a comprehensive reference for advanced students and researchers in the related fields of aerospace, vehicle, robotics and weaponry engineering.


Matrix Methods: Theory, Algorithms And Applications - Dedicated To The Memory Of Gene Golub

Matrix Methods: Theory, Algorithms And Applications - Dedicated To The Memory Of Gene Golub

Author: Vadim Olshevsky

Publisher: World Scientific

Published: 2010-04-05

Total Pages: 604

ISBN-13: 9814469556

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Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods. This was the spirit of the 2nd International Conference on Matrix Methods and Operator Equations from 23-27 July 2007 in Moscow that was organized by Dario Bini, Gene Golub, Alexander Guterman, Vadim Olshevsky, Stefano Serra-Capizzano, Gilbert Strang and Eugene Tyrtyshnikov.Matrix methods provide the key to many problems in pure and applied mathematics. However, linear algebra theory, numerical algorithms and matrices in FEM/BEM applications usually live as if in three separate worlds. In this volume, maybe for the first time ever, they are compiled together as one entity as it was at the Moscow meeting, where the algebraic part was impersonated by Hans Schneider, algorithms by Gene Golub, and applications by Guri Marchuk. All topics intervened in plenary sessions are specially categorized into three sections of this volume.The soul of the meeting was Gene Golub, who rendered a charming “Golub's dimension” to the three main axes of the conference topics. This volume is dedicated in gratitude to his memory.


Wave Propagation

Wave Propagation

Author: Peter Markos

Publisher: Princeton University Press

Published: 2008-04-01

Total Pages: 376

ISBN-13: 9781400835676

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This textbook offers the first unified treatment of wave propagation in electronic and electromagnetic systems and introduces readers to the essentials of the transfer matrix method, a powerful analytical tool that can be used to model and study an array of problems pertaining to wave propagation in electrons and photons. It is aimed at graduate and advanced undergraduate students in physics, materials science, electrical and computer engineering, and mathematics, and is ideal for researchers in photonic crystals, negative index materials, left-handed materials, plasmonics, nonlinear effects, and optics. Peter Markos and Costas Soukoulis begin by establishing the analogy between wave propagation in electronic systems and electromagnetic media and then show how the transfer matrix can be easily applied to any type of wave propagation, such as electromagnetic, acoustic, and elastic waves. The transfer matrix approach of the tight-binding model allows readers to understand its implementation quickly and all the concepts of solid-state physics are clearly introduced. Markos and Soukoulis then build the discussion of such topics as random systems and localized and delocalized modes around the transfer matrix, bringing remarkable clarity to the subject. Total internal reflection, Brewster angles, evanescent waves, surface waves, and resonant tunneling in left-handed materials are introduced and treated in detail, as are important new developments like photonic crystals, negative index materials, and surface plasmons. Problem sets aid students working through the subject for the first time.


New Developments in Materials for Infrastructure Sustainability and the Contemporary Issues in Geo-environmental Engineering

New Developments in Materials for Infrastructure Sustainability and the Contemporary Issues in Geo-environmental Engineering

Author: Shanzhi Shu

Publisher: Springer

Published: 2018-07-11

Total Pages: 280

ISBN-13: 3319957740

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This book contains research papers focusing on recent advances throughout the world in theories and technologies of geotechnical engineering and the relevant disciplines. Topics includes: numerical modeling, earthquake engineering, geomaterial application in soil improvement and geo-environmental engineering, foundation engineering, and geo-environmental engineering.. Papers were selected from the 5th GeoChina International Conference 2018 – Civil Infrastructures Confronting Severe Weathers and Climate Changes: From Failure to Sustainability, held on July 23 to 25, 2018 in HangZhou, China.


The Transfer-Matrix Method in Electromagnetics and Optics

The Transfer-Matrix Method in Electromagnetics and Optics

Author: Tom G. Mackay

Publisher: Morgan & Claypool Publishers

Published: 2020-04-07

Total Pages: 128

ISBN-13: 1681737930

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The transfer-matrix method (TMM) in electromagnetics and optics is a powerful and convenient mathematical formalism for determining the planewave reflection and transmission characteristics of an infinitely extended slab of a linear material. While the TMM was introduced for a homogeneous uniaxial dielectric-magnetic material in the 1960s, and subsequently extended for multilayered slabs, it has more recently been developed for the most general linear materials, namely bianisotropic materials. By means of the rigorous coupled-wave approach, slabs that are periodically nonhomogeneous in the thickness direction can also be accommodated by the TMM. In this book an overview of the TMM is presented for the most general contexts as well as for some for illustrative simple cases. Key theoretical results are given; for derivations, the reader is referred to the references at the end of each chapter. Albums of numerical results are also provided, and the computer code used to generate these results are provided in an appendix.


New Developments in Liquid Crystals

New Developments in Liquid Crystals

Author: Georgiy Tkachenko

Publisher: BoD – Books on Demand

Published: 2009-11-01

Total Pages: 246

ISBN-13: 9533070153

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Liquid crystal technology is a subject of many advanced areas of science and engineering. It is commonly associated with liquid crystal displays applied in calculators, watches, mobile phones, digital cameras, monitors etc. But nowadays liquid crystals find more and more use in photonics, telecommunications, medicine and other fields. The goal of this book is to show the increasing importance of liquid crystals in industrial and scientific applications and inspire future research and engineering ideas in students, young researchers and practitioners.


Advances in Photonic Crystals and Devices

Advances in Photonic Crystals and Devices

Author: Narendra Kumar

Publisher: CRC Press

Published: 2019-09-06

Total Pages: 377

ISBN-13: 135102941X

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In recent decades, there has been a phenomenal growth in the field of photonic crystal research and has emerged as an interdisciplinary area. Photonic crystals are usually nanostructured electromagnetic media consisting of periodic variation of dielectric constant, which prohibit certain electromagnetic wave frequency ranges called photonic bandgaps to propagate through them. Photonic crystals elicited numerous interesting features by unprecedented control of light and their exploitation is a promising tool in nanophotonics and designing optical components. The book ‘Advances in Photonic Crystals and Devices’ is designed with 15 chapters with introductory as well as research and application based contents. It covers the following highlighted features: Basics of photonic crystals and photonic crystal fibers Different theoretical as well as experimental approaches Current research advances from around the globe Nonlinear optics and super-continuum generation in photonic crystal fibers Magnetized cold plasma photonic crystals Liquid crystal defect embedded with graphene layers Biophysics and biomedical applications as optical sensors Two-dimensional photonic crystal demultiplexer Optical logic gates using photonic crystals A large number of references The goal of this book is to draw the background in understanding, fabrication and characterization of photonic crystals using a variety of materials and their applications in design of several optical devices. Though the book is useful as a reference for the researchers working in the area of photonics, optical computing and fabrication of nanophotonic devices, it is intended for the beginners like students pursuing their masters’ degree in photonics.