Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid, Ivan A. Lukovsky
Автор: Wittenburg Jens Название: Multibody Systems / Dynamics of Systems of Rigid Bodies ISBN: 3540739130 ISBN-13(EAN): 9783540739135 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Hubert Hahn Название: Rigid Body Dynamics of Mechanisms ISBN: 3642076173 ISBN-13(EAN): 9783642076176 Издательство: Springer Рейтинг: Цена: 29209.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An overview over the theoretical background of rigid body mechanics is given as well as a systematic approach for deriving and solving model equations of general rigid body mechanisms in the form of differential-algebraic equations (DAE).
Автор: Felix L. Chernousko; Leonid D. Akulenko; Dmytro D. Название: Evolution of Motions of a Rigid Body About its Center of Mass ISBN: 3319539272 ISBN-13(EAN): 9783319539270 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature.
Автор: Manuel F.O. Seabra Pereira; Jorge A.C. Ambr?sio Название: Computer-Aided Analysis of Rigid and Flexible Mechanical Systems ISBN: 9401045089 ISBN-13(EAN): 9789401045087 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute, Troia, Portugal, June 27--July 9, 1993
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.
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.
Автор: Hubert Hahn Название: Rigid Body Dynamics of Mechanisms 2 ISBN: 3642056954 ISBN-13(EAN): 9783642056956 Издательство: Springer Рейтинг: Цена: 32651.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for self-study, this second volume presents a systematic approach for deriving model equations of planar and spatial mechanisms. The focus is on the application of the modeling methodology to various examples of rigid-body mechanisms, simple planar ones as well as more challenging spatial problems.
Автор: Strogatz Steven Название: Nonlinear Dynamics and Chaos ISBN: 0813349109 ISBN-13(EAN): 9780813349107 Издательство: Taylor&Francis Рейтинг: Цена: 10564.00 р. Наличие на складе: Поставка под заказ.
Описание: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind .
Автор: Roy Featherstone Название: Rigid Body Dynamics Algorithms ISBN: 1489978682 ISBN-13(EAN): 9781489978684 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Rigid Body Dynamics Algorithms presents the subject of computational rigid-body dynamics through the medium of spatial 6D vector notation. The use of spatial vector notation facilitates the implementation of dynamics algorithms on a computer: shorter, simpler code that is easier to write, understand and debug, with no loss of efficiency.
Автор: Harley Cohen; Robert G. Muncaster Название: The Theory of Pseudo-rigid Bodies ISBN: 1461395917 ISBN-13(EAN): 9781461395911 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph concerns the development, analysis, and application of the theory of pseudo-rigid bodies. The fact that this variety of aspects, each examined in considerable detail, can be collected together in a single, unified treat- ment gives this theory an elegance that we feel sets it apart from many others.
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