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Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid, Ivan A. Lukovsky


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Автор: Ivan A. Lukovsky
Название:  Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid
ISBN: 9783110316551
Издательство: Walter de Gruyter
Классификация:



ISBN-10: 3110316552
Обложка/Формат: Hardback
Страницы: 410
Вес: 0.85 кг.
Дата издания: 17.04.2015
Серия: Mathematics
Язык: English
Размер: 244 x 170 x 24
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Differential calculus & equations,Applied mathematics,Mathematical physics, MATHEMATICS / General,MATHEMATICS / Applied,MATHEMATICS / Mathematical Analysis
Поставляется из: Германии
Описание: This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a liquid. The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of spatial motions of the body-liquid mechanical system (these equations are called mathematical models in the title) take the form of a finite-dimensional system of nonlinear ordinary differential equations coupling quasi-velocities of the rigid body motions and generalized coordinates responsible for displacements of the natural sloshing modes. Algorithms for computing the hydrodynamic coefficients in the approximate mathematical models are proposed. Numerical values of these coefficients are listed for some tank shapes and liquid fillings. The mathematical models are also derived for the contained liquid characterized by the Newton-type dissipation. Formulas for hydrodynamic force and moment are derived in terms of the solid body quasi-velocities and the sloshing-related generalized coordinates. For prescribed harmonic excitations of upright circular (annular) cylindrical and/or conical tanks, the steady-state sloshing regimes are theoretically classified; the results are compared with known experimental data. The book can be useful for both experienced and early-stage mechanicians, applied mathematicians and engineers interested in (semi-)analytical approaches to the “fluid-structure” interaction problems, their fundamental mathematical background as well as in modeling the dynamics of complex mechanical systems containing a rigid tank partly filled by a liquid.


Mathematical methods and models for economists

Автор: Fuente, Angel de la.
Название: Mathematical methods and models for economists
ISBN: 0521585295 ISBN-13(EAN): 9780521585293
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics.

Multibody Systems / Dynamics of Systems of Rigid Bodies

Автор: Wittenburg Jens
Название: Multibody Systems / Dynamics of Systems of Rigid Bodies
ISBN: 3540739130 ISBN-13(EAN): 9783540739135
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Investigations into the dynamics of a system of rigid bodies require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships, and other quantities. It is comon practice to develop these for each system separately and to consider the labor necessary for deriving e.g., equations of motion from Lagrange`s equation, as inevitable. It is the main purpose of this book to describe in detail a formalism which substantially simplifies these tasks.The book addresses to advanced graduate students and to research workers.

An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies

Автор: Loney
Название: An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies
ISBN: 1316633330 ISBN-13(EAN): 9781316633335
Издательство: Cambridge Academ
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Цена: 6653.00 р.
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Описание: Originally published in 1926, this informative and detailed textbook is primarily aimed at university students studying applied mathematics for a science or engineering degree and contains a large number of useful examples to work though. Basic knowledge of elementary dynamics is assumed throughout, as is a working knowledge of differential and integral calculus.

Rigid Body Dynamics for Space Applications

Автор: Aslanov, Vladimir S
Название: Rigid Body Dynamics for Space Applications
ISBN: 0128110945 ISBN-13(EAN): 9780128110942
Издательство: Elsevier Science
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Цена: 19875.00 р.
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Описание:

Rigid Body Dynamics for Space Applications explores the modern problems of spaceflight mechanics, such as attitude dynamics of re-entry and space debris in Earth's atmosphere; dynamics and control of coaxial satellite gyrostats; deployment, dynamics, and control of a tether-assisted return mission of a re-entry capsule; and removal of large space debris by a tether tow.

Most space systems can be considered as a system of rigid bodies, with additional elastic and viscoelastic elements and fuel residuals in some cases. This guide shows the nature of the phenomena and explains the behavior of space objects. Researchers working on spacecraft attitude dynamics or space debris removal as well as those in the fields of mechanics, aerospace engineering, and aerospace science will benefit from this book.

A Concise Introduction to Mechanics of Rigid Bodies

Автор: Huang
Название: A Concise Introduction to Mechanics of Rigid Bodies
ISBN: 3319450409 ISBN-13(EAN): 9783319450407
Издательство: Springer
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Цена: 11179.00 р.
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Описание:

This updated second edition broadens the explanation of rotational kinematics and dynamics — the most important aspect of rigid body motion in three-dimensional space and a topic of much greater complexity than linear motion. It expands treatment of vector and matrix, and includes quaternion operations to describe and analyze rigid body motion which are found in robot control, trajectory planning, 3D vision system calibration, and hand-eye coordination of robots in assembly work, etc. It features updated treatments of concepts in all chapters and case studies.
The textbook retains its comprehensiveness in coverage and compactness in size, which make it easily accessible to the readers from multidisciplinary areas who want to grasp the key concepts of rigid body mechanics which are usually scattered in multiple volumes of traditional textbooks. Theoretical concepts are explained through examples taken from across engineering disciplines and links to applications and more advanced courses (e.g. industrial robotics) are provided.
Ideal for students and practitioners, this book provides readers with a clear path to understanding rigid body mechanics and its significance in numerous sub-fields of mechanical engineering and related areas.
Dynamics of Particles and Rigid Bodies

Автор: Rao
Название: Dynamics of Particles and Rigid Bodies
ISBN: 0521187907 ISBN-13(EAN): 9780521187909
Издательство: Cambridge Academ
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Цена: 9029.00 р.
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Описание: Intended for undergraduates who want a systematic and rigorous approach to particle and rigid body dynamics, Rao`s highly rigorous 2006 presentation of concepts illuminates the connection between theory and practice. The work features a great range of examples reinforced by numerous problems for student solution.


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