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Books > Science & Mathematics > Physics > Classical mechanics
B. G. Marsden Harvard-Smithsonian Center for Astrophysics
Cambridge, MA 02138, U.S.A. !AU Symposium No. 81, "Dynamics of the
Solar System", was held at the Hydrographic Office, Tokyo, Japan,
during 23-26 May 1978. The Sym- posium was cosponsored by COSPAR
and IUTAM, and generous financial sup- port was also provided by
the Japan Society for the Promotion of Science. !AU sponsorship was
through Commissions 4, 7 and 20, and the Scientific Organizing
Committee consisted of the current Presidents, Vice Presi- dents
and immediate Past Presidents of these Commissions: V. K. Abalakin,
R. L. Duncombe, Y. Kozai, L. Kresak, B. G. Marsden (Chairman), P.
J. Message, A. M. Sinzi, G. Sitarski and V. G. Szebehely. There
were 64 participants from 15 countries, and 55 invited and
contributed papers were read. The papers covered all branches of
re- search on solar-system dynamics, and the eight sessions
(chaired by Y. Kozai, V. G. Szebehely, W. Fricke, A. M. Sinzi, G.
Sitarski, B. G.
This book gives an overview of recent advances in the fracture mechanics of polymers (experimental and alternative methods), morphology property correlations (homopolymers, copolymers, blends), hybrid methods for polymer testing and polymer diagnostics, and biocompatible materials and medical prostheses, as well as application examples and limits. The investigation of deformation and fracture behaviour using the experimental methods of fracture mechanics has been the subject of intense research during the last decade. In a systematic manner, each chapter of this book gives a review of the particular aspects. This book will be of great value to scientists, engineers and graduates in polymer materials science.
This monograph develops the theory of noise mechanisms and
measurements, and describes general noise characteristics and
computational methods. The vast ambient noise literature is
concisely summarized using theory combined with key representative
results.
The air sea boundary interaction zone is described in terms of
nondimensional variables requisite for future experiments. Noise
field coherency, rare directional measurements, and unique basin
scale computations and methods are presented. The use of satellite
measurements in these basin scale models is demonstrated. A series
of appendices provides in-depth mathematical treatments which will
be of interest to graduate students and active researchers.
Adaptive structural systems in conjunction with multifunctional
materials facilitate technical solutions with a wide spectrum of
applications and a high degree of integration. By virtue of
combining the actuation and sensing capabilities of piezoelectric
materials with the advantages of fiber composites, the anisotropic
constitutive properties may be tailored according to requirements
and the failure behavior can be improved. Such adaptive fiber
composites are very well-suited for the task of noise and vibration
reduction. In this respect the helicopter rotor system represents a
very interesting and widely perceptible field of application. The
occurring oscillations can be reduced with aid of aerodynamic
couplings via fast manipulation of the angle of attack, being
induced by twist actuation of the rotor blade. On the one hand the
sensing properties may be used to determine the current state of
deformation, while on the other hand the actuation properties may
be used to attain the required state of deformation. The
implementation of such concepts requires comprehensive knowledge of
the theoretical context, which shall be illuminated in the work at
hand from the examination of the material behavior to the
simulation of the rotating structure.
In recent years there has been a considerable growth in interest in
Monte Carlo methods, and quantum Monte Carlo methods in
particlular. Clearly, the ever-increasing computational power
available to researchers, has stimulated the development of
improved algorithms, and almost all fields in computational physics
and chemistry are affected by their applications. Here we just
mention some fields that are covered in the lecture notes contained
in this volume, viz. electronic structure studies of atoms,
molecules and solids, nuclear structure, and low- or
zero-temperature studies of strongly-correlated quantum systems,
both of the continuum and lattice variety, and cooperative
phenomena in classical systems. Although each area of application
may have its own peculiarities, requiring specialized solutions,
all share the same basic methodology. It was with the intention of
bringing together researchers and students from these various areas
that the NATO Advanced Study Institute on Quantum Monte Carlo
Methods in Physics and Chemistry was held at Cornell University
from 12 to 24 July, 1998. This book contains material presented at
the Institute in a series of mini courses in quantum Monte Carlo
methods. The program consisted of lectures predominantly of a
pedagogical nature, and of more specialized seminars. The levels
varied from introductory to advanced, and from basic methods to
applications; the program was intended for an audience working
towards the Ph.D. level and above. Despite the essentially
pedagogic nature of the Institute, several of the lectures and
seminars contained in this volume present recent developments not
previously published.
"Blurb & Contents" "The reader is treated to constantly
refreshing and engaging commentary and opinion that always
informs....As she depicts them, the problems of the universe are
always fascinating and, most of all, they are alive and
compelling." David DeVorkin, Sky & Telescope Virginia Trimble
offers readers a fascinating and accessible tour of the stars. An
astronomer with shared appointments in California and Maryland, the
author ranges over a large portion of the universe as she discusses
the search for life on other planets, how galaxies form, why stars
explode and die, and the nature of the elusive dark matter in the
universe. She also explains the astronomical significance of
Cheeps' pyramid and leads the reader through scientific speculation
about what and when the Star of Bethlehem might have been.
Throughout, Trimble points to the exciting unanswered questions
that still perplex the field and considers the formidable tasks to
be faced by the next generation of young astronomers.
This book comprehensively discusses essential aspects of terminal
ballistics, combining experimental data, numerical simulations and
analytical modeling. This new, 3rd edition reflects a number of
recent advances in materials science, such as the use of polyurea
layers on metallic plates in order to improve their ballistics. In
addition, more data and analyses are now available on dwell and
interface defeat in ceramic tiles coated with polymers, and are
presented here. Lastly, the new edition includes new results,
numerical and empirical, concerning the DIF issue in brittle
solids, as well as the "upturn" phenomenon in the stress-strain
curves of ductile solids.The author also added a new analysis of
concrete penetration experiments which accounts for the scaling
issue in this field. This is a new,and important, addition which we
are happy to announce. They also added some new insights into the
interaction of EEP's and FSP projectiles with metallic plates.
Throughout the book, the authors demonstrate the advantages of the
simulation approach in terms of understanding the basic physics
behind the phenomena investigated, making it a must-read for all
professionals who need to understand terminal ballistics.
Feedback-Based Orthogonal Digital Filters: Theory, Applications,
and Implementation develops the theory of a feedback-based
orthogonal digital filter and examines several applications where
the filter topology leads to a simple and efficient solution. The
development of the filter structure is linked to concepts in
observer theory. Several signal processing problems can be
represented as estimation problems, where a parametric
representation of the input is used, to try and replicate it
locally. This estimation problem can be solved using an identity
observer, and the filter topology falls in this framework. Hence
the filter topology represents a universal building block that can
find application in several problems, such as spectral estimation,
time-recursive computation of transforms, etc. Further, because of
the orthogonality constraints satisfied by the structure, it also
represents a robust solution under finite precision conditions. The
book also presents the observer-based viewpoint of several signal
processing problems, and shows that problems that are typically
treated independently in the literature are in fact linked and can
be cast in a single unified framework. In addition to examining the
theoretical issues, the book describes practical issues related to
a hardware implementation of the building block, in both the
digital and analog domain. On the digital side, issues relating to
implementation using semi-custom chips (FPGA's), and ASIC design
are examined. On the analog side, the design and testing of a
fabricated chip, that functions as a multi-sinusoidal
phase-locked-loop, are described. Feedback-Based Orthogonal Digital
Filters serves as an excellent reference. May be used as a text for
advanced courses on the subject.
Flow meters measure the volumetric flow rate in a pipeline. Most
meters are based on deriving a signal from the fluid flow and
calibrating the signal against the volumetric flow rate. The
calibration is done in fully-developed flow, and the same state of
flow must exist at the meter's position when it is in practical
use. Because the field of flow metering has been neglected by fluid
mechanicists for a long time, this book addresses two major fluid
mechanical problems in flow metering: the analysis of signal
generation in turbulent pipe flow, which explains the function of
the meter beyond a simple calibration, and the possible use of a
meter in non-developed flows. These problems are investigated with
reference to, and examples from, a variety of meters, e.g.
ultrasound cross-correlation meters, vortex meters, and turbine
meters. Studying these problems requires consideration of specific
phenomena in turbulent non-developed pipe flow, as caused by
installations, and finding special solutions with signal
processing, both of which are included in the book.
Non-linear stochastic systems are at the center of many engineering
disciplines and progress in theoretical research had led to a
better understanding of non-linear phenomena. This book provides
information on new fundamental results and their applications which
are beginning to appear across the entire spectrum of mechanics.
The outstanding points of these proceedings are Coherent compendium
of the current state of modelling and analysis of non-linear
stochastic systems from engineering, applied mathematics and
physics point of view. Subject areas include: Multiscale phenomena,
stability and bifurcations, control and estimation, computational
methods and modelling. For the Engineering and Physics communities,
this book will provide first-hand information on recent
mathematical developments. The applied mathematics community will
benefit from the modelling and information on various possible
applications.
This collection of over 200 detailed worked exercises adds to and
complements the textbook "Fluid Mechanics" by the same author, and,
at the same time, illustrates the teaching material via examples.
The exercises revolve around applying the fundamental concepts of
"Fluid Mechanics" to obtain solutions to diverse concrete problems,
and, in so doing, the students' skill in the mathematical modelling
of practical problems is developed. In addition, 30 challenging
questions WITHOUT detailed solutions have been included. While
lecturers will find these questions suitable for examinations and
tests, students themselves can use them to check their
understanding of the subject.
Nonlinear Dynamics of Complex Systems describes chaos, fractal and
stochasticities within celestial mechanics, financial systems and
biochemical systems. Part I discusses methods and applications in
celestial systems and new results in such areas as low energy
impact dynamics, low-thrust planar trajectories to the moon and
earth-to-halo transfers in the sun, earth and moon. Part II
presents the dynamics of complex systems including bio-systems,
neural systems, chemical systems and hydro-dynamical systems.
Finally, Part III covers economic and financial systems including
market uncertainty, inflation, economic activity and foreign
competition and the role of nonlinear dynamics in each.
This book aims to describe the scientific concepts of energy.
Accessible to readers with no scientific education beyond
high-school chemistry, it starts with the basic notion of energy
and the fundamental laws that govern it, such as conservation, and
explains the various forms of energy, such as electrical, chemical,
and nuclear. It then proceeds to describe ways in which energy is
stored for very long times in the various fossil fuels (petroleum,
gas, coal) as well as for short times (flywheels, pumped storage,
batteries, fuel cells, liquid hydrogen). The book also discusses
the modes of transport of energy, especially those of electrical
energy via lasers and transmission lines, as well as why the latter
uses alternating current at high voltages. The altered view of
energy introduced by quantum mechanics is also discussed, as well
as how almost all the Earth's energy originates from the Sun.
Finally, the history of the forms of energy in the course of
development of the universe is described, and how this form changed
from pure radiation in the aftermath of the Big Bang to the
creation of all the chemical elements in the world.
Two complete new chapters have been introduced. The first one,
Chapter 16, amplifies the many rich interactions between Geographie
Information Systems (GIS) and the Navstar CPS. The words and
pietures in this new chapter foeus on the powerful eleetronie
mapmaking techniques that rely on Navstar navigation together with
the many benefits stemming from the full-eolored "layered" maps now
being produeed. Chapter 17, which is also new, deals with
Intelligent Vehicle Highway Systems (lVHS). Navstar navigation
techniques form the hidden backbone of most of the new electronic
teehnologies that are helping to make America's traffic f10w more
smoothly. Chapter 17 c10ses with narrative descriptions of three
interesting IVHS projects: emergency tow-truck dispatching, optimum
ambulance-routing, and the in-car traffie reports now being beamed
into family cars cruising along Ameriea's major traffic arteries.
Many helpful individuals contributed toward the successful
completion of Under- standing the Navstar. My lovely wife, Cyndy,
was unquestionably the most beneficial contributor. Her
affectionate comments and her broad-ranging support were greatly
appreciated. So was her diligent and uncomplaining work in
word-process- ing the many drafts of the final manuseript. The
artists, Lloyd and lInka Wing and Anthony and Dianne Vega, were
also enormously helpful in providing quality figures and tables on
schedule. They have become true masters of the Macintosh computer
with its many beils and whistles. Preparing a book for publication
is a time-consuming, invigorating task. I hope you enjoy reading it
as much as I enjoyed putting it together for your use.
What is this sound? What does that sound indicate? These are two
questions frequently heard in daily conversation. Sound results
from the vibrations of elastic media and in daily life provides
informative signals of events happening in the surrounding
environment. In interpreting auditory sensations, the human ear
seems particularly good at extracting the signal signatures from
sound waves. Although exploring auditory processing schemes may be
beyond our capabilities, source signature analysis is a very
attractive area in which signal-processing schemes can be developed
using mathematical expressions. This book is inspired by such
processing schemes and is oriented to signature analysis of
waveforms. Most of the examples in the book are taken from data of
sound and vibrations; however, the methods and theories are mostly
formulated using mathematical expressions rather than by acoustical
interpretation. This book might therefore be attractive and
informative for scientists, engineers, researchers, and graduate
students who are interested in the mathematical representation of
signals and the applications of Fourier analysis. The book can be
described as being practically self-contained but does assume
readers are familiar with introductory topics in discrete signal
processing, as in the discrete Fourier transform. Hence this book
might be also usable as a textbook in graduate courses in applied
mathematics on topics such as complex functions. Almost all
scientific phenomena are sensed as waves propagating in some space.
Over the years, waveform analysis has therefore been one of the
resilient academic areas of study and still is seen as fertile
ground for development. In particular, waveform analysis based on
the theory of linear systems would be a good example where a
physical interpretation can be given to the mathematical theory of
complex functions in terms of magnitude, angle, poles, and zeros of
complex functions. For readers who are interested in the physical
aspects of sound and vibration data or elementary formulation of
wave equations and their solutions, the book Sound and Signals by
M. Tohyama (Springer 2011) is recommended. It can serve as a
complementary companion to this present volume or independently as
a good reference.
This reader-friendly resource covers the broad spectrum of
satellite principles and their associated technologies. While other
books limit their coverage to specialized services or to satellite
payloads such as communication satellites, Satellite Systems
focuses upon the methodology of launching satellites, keeping them
there, the environments under which they operate, and other facets
particular to their operation. Pattan's detailed, elaborate
approach does not assume that the reader is versed in esoteric
mathematics. Satellite Systems is specific enough to be a valuable
working-tool to scientists and engineers in related fields, yet
general enough to be accessible to students and interested lay
people. Pattan throughly explores the concepts and technologies of
satellite systems in simple, direct terms. Satellite Systems
includes precise coverage of: *various orbits and the services they
provide *international launch of vehicles and launch sites *phased
array antennas for satellite network applications *mobile satellite
services from land vehicles, aircraft, and ships *low orbit
satellites for telecommunication and position determination
applications *international frequency allocations for satellite
control, payload management, and status *geometric relationships
between satellite and Earth stations used in interference analysis,
orbit determination, and location *the hostile environments in
which satellites operate and cope *and much more Satellite Systems
is a self-contained, extensive introduction that offers
professionals and advanced undergraduate and graduate students of
satellite systems the tools they need for in-depth understanding of
the complexities of the subject. It is ideal as both a reference
and a training text for engineers, technicians, communication
lawyers, weather professionals, telecommunications experts,
students, and anyone interested insatellites and satellite
technology.
The origins of turbulent flow and the transition from laminar to turbulent flow are among the most important unsolved problems of fluid mechanics and aerodynamics. Besides being a fundamental question of fluid mechanics, there are many practical applications for information regarding transition location and the details of the subsequent turbulent flow. This proceedings volume contains the papers of two keynote lectures as well as of 104 technical presentations and posters that were presented at the IUTAM Symposium on Laminar-Turbulent Transition in Sedona, Arizona, September 13-17, 1999. The papers published in the present volume document the state of the art in transition research, and therefore, increased emphasis on the various topics covered in this meeting can be expected in the future.
This book presents a general classical field theory, incorporating
continuum mechanics, electrodynamics, and thermodynamics. The
continuum equations of material behavior are derived from the
principles of Onsager's non-equilibrium thermodynamics supplemented
with dynamic degrees of freedom. The book contains the basic
principles and methods of modern continuum mechanics and of
rheology. Non-equilibrium thermodynamics is discussed in detail.
Applications include elasticity, thermoelasticity, viscoelasticity,
plasticity, rheooptics, etc. The models of rheology are developed
within a consistent thermodynamic framework. Viscoelastic and
plastic response, Ostwald's curve of generalized Newtonian fluids,
creep, elasticity preceding plastic flow, the rules of rheooptics,
etc., are discussed, and the empirical Cox-Merz rule is proved. The
thermodynamic results are compared to the results of microscopic
theories. Several kinds of colloids, polymers, and liquid crystals
are studied. The technical level of the book is high. It is
designed for engineers, physicists, natural scientists and applied
mathematicians.
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