Dynamics Of Nonholonomic Systems
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Author |
: Sh.Kh Soltakhanov |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 354 |
Release |
: 2009-05-27 |
ISBN-10 |
: 9783540858478 |
ISBN-13 |
: 3540858474 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Mechanics of non-holonomic systems by : Sh.Kh Soltakhanov
A general approach to the derivation of equations of motion of as holonomic, as nonholonomic systems with the constraints of any order is suggested. The system of equations of motion in the generalized coordinates is regarded as a one vector relation, represented in a space tangential to a manifold of all possible positions of system at given instant. The tangential space is partitioned by the equations of constraints into two orthogonal subspaces. In one of them for the constraints up to the second order, the motion low is given by the equations of constraints and in the other one for ideal constraints, it is described by the vector equation without reactions of connections. In the whole space the motion low involves Lagrangian multipliers. It is shown that for the holonomic and nonholonomic constraints up to the second order, these multipliers can be found as the function of time, positions of system, and its velocities. The application of Lagrangian multipliers for holonomic systems permits us to construct a new method for determining the eigenfrequencies and eigenforms of oscillations of elastic systems and also to suggest a special form of equations for describing the system of motion of rigid bodies. The nonholonomic constraints, the order of which is greater than two, are regarded as programming constraints such that their validity is provided due to the existence of generalized control forces, which are determined as the functions of time. The closed system of differential equations, which makes it possible to find as these control forces, as the generalized Lagrange coordinates, is compound. The theory suggested is illustrated by the examples of a spacecraft motion. The book is primarily addressed to specialists in analytic mechanics.
Author |
: Juru Isaakovich Ne_mark |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 530 |
Release |
: 2004-07-16 |
ISBN-10 |
: 9780821836170 |
ISBN-13 |
: 082183617X |
Rating |
: 4/5 (70 Downloads) |
Synopsis Dynamics of Nonholonomic Systems by : Juru Isaakovich Ne_mark
The goal of this book is to give a comprehensive and systematic exposition of the mechanics of nonholonomic systems, including the kinematics and dynamics of nonholonomic systems with classical nonholonomic constraints, the theory of stability of nonholonomic systems, technical problems of the directional stability of rolling systems, and the general theory of electrical machines. The book contains a large number of examples and illustrations.
Author |
: Nikolaĭ Alekseevich Fufaev |
Publisher |
: |
Total Pages |
: 530 |
Release |
: 1972 |
ISBN-10 |
: 1470444488 |
ISBN-13 |
: 9781470444488 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Dynamics of Nonholonomic Systems by : Nikolaĭ Alekseevich Fufaev
Author |
: A.M. Bloch |
Publisher |
: Springer |
Total Pages |
: 582 |
Release |
: 2015-11-05 |
ISBN-10 |
: 9781493930173 |
ISBN-13 |
: 1493930176 |
Rating |
: 4/5 (73 Downloads) |
Synopsis Nonholonomic Mechanics and Control by : A.M. Bloch
This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
Author |
: Kevin M. Lynch |
Publisher |
: Cambridge University Press |
Total Pages |
: 545 |
Release |
: 2017-05-25 |
ISBN-10 |
: 9781107156302 |
ISBN-13 |
: 1107156300 |
Rating |
: 4/5 (02 Downloads) |
Synopsis Modern Robotics by : Kevin M. Lynch
A modern and unified treatment of the mechanics, planning, and control of robots, suitable for a first course in robotics.
Author |
: Patrick J. Rabier |
Publisher |
: SIAM |
Total Pages |
: 143 |
Release |
: 2000-01-01 |
ISBN-10 |
: 9780898714463 |
ISBN-13 |
: 089871446X |
Rating |
: 4/5 (63 Downloads) |
Synopsis Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint by : Patrick J. Rabier
Focuses on rigid body systems subjected to kinematic constraints and discusses in detail how the equations of motion are developed. The authors show that such motions can be modeled in terms of differential algebraic equations (DAEs), provided only that the correct variables are introduced.
Author |
: IUriǐ Isaakovich Neǐmark |
Publisher |
: |
Total Pages |
: 518 |
Release |
: 1972 |
ISBN-10 |
: OCLC:977309928 |
ISBN-13 |
: |
Rating |
: 4/5 (28 Downloads) |
Synopsis Dynamics of Nonholonomic Systems, by Ju. I. Neimark and N.A. Fufaev. [Translated from the Russian by J.R. Barbour]. by : IUriǐ Isaakovich Neǐmark
Author |
: J. Angeles |
Publisher |
: Springer |
Total Pages |
: 344 |
Release |
: 2014-05-04 |
ISBN-10 |
: 9783709143629 |
ISBN-13 |
: 3709143624 |
Rating |
: 4/5 (29 Downloads) |
Synopsis Kinematics and Dynamics of Multi-Body Systems by : J. Angeles
Three main disciplines in the area of multibody systems are covered: kinematics, dynamics, and control, as pertaining to systems that can be modelled as coupling or rigid bodies. The treatment is intended to give a state of the art of the topics discussed.
Author |
: Jorge Cortés Monforte |
Publisher |
: Springer |
Total Pages |
: 235 |
Release |
: 2004-10-19 |
ISBN-10 |
: 9783540457305 |
ISBN-13 |
: 3540457305 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Geometric, Control and Numerical Aspects of Nonholonomic Systems by : Jorge Cortés Monforte
Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.
Author |
: Nguyen Van Khang |
Publisher |
: Springer Nature |
Total Pages |
: 976 |
Release |
: 2021-12-14 |
ISBN-10 |
: 9783030918927 |
ISBN-13 |
: 3030918920 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Advances in Asian Mechanism and Machine Science by : Nguyen Van Khang
This book presents the proceedings of the 6th IFToMM Asian Mechanisms and Machine Science Conference (Asian MMS), held in Hanoi, Vietnam on December 15-18, 2021. It includes peer-reviewed papers on the latest advances in mechanism and machine science, discussing topics such as biomechanical engineering, computational kinematics, the history of mechanism and machine science, gearing and transmissions, multi-body dynamics, robotics and mechatronics, the dynamics of machinery, tribology, vibrations, rotor dynamics and vehicle dynamics. A valuable, up-to-date resource, it offers an essential overview of the subject for scientists and practitioners alike, and will inspire further investigations and research.