Mechanics of non-holonomic systems A New Class of control systems
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, rep
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Foundations of Engineering Mechanics Series Editors:
Vladimir I. Babitsky, Loughborough University, UK Jens Wittenburg, Karlsruhe University, Germany
Further volumes of this series can be found on our homepage: springer.com Soltakhanov, Sh. Kh., Yushkov, M.P., Zegzhda, S.A. Mechanics of non-holonomic systems, 2009 ISBN 978-3-540-85846-1 Skubov, D., Khodzhaev, K.S. Non-Linear Electromechanics, 2008 ISBN 978-3-540-25139-2 Slivker, V.I. Mechanics of Structural Elements, 2007 ISBN 978-3-540-44718-4 Elsoufiev, S.A. Strength Analysis in Geomechanics, 2007 ISBN 978-3-540-37052-9 Awrejcewicz, J., Krysko, V.A., Krysko, A.V. Thermo-Dynamics of Plates and Shells, 2007 ISBN 978-3-540-37261-8 Wittbrodt, E., Adamiec-Wojcik, I., Wojciech, S. Dynamics of Flexible Multibody Systems, 2006 ISBN 3-540-32351-1 Aleynikov, S.M. Spatial Contact Problems in Geotechnics, 2007 ISBN 3-540-25138-3 Skubov, D.Y., Khodzhaev, K.S. Non-Linear Electromechanics, 2007 ISBN 3-540-25139-1 Feodosiev, V.I., Advanced Stress and Stability Analysis Worked Examples, 2005 ISBN 3-540-23935-9
(Continued after index)
Lurie, A.I. Theory of Elasticity, 2005 ISBN 3-540-24556-1 Sosnovskiy, L.A., TRIBO-FATIGUE · Wear-Fatigue Damage and its Prediction, 2005 ISBN 3-540-23153-6 Andrianov, I.V., Awrejcewicz, J., Manevitch, L.I. Asymptotical Mechanics of Thin-Walled Structures, 2004 ISBN 3-540-40876-2 Ginevsky, A.S., Vlasov, Y.V., Karavosov, R.K. Acoustic Control of Turbulent Jets, 2004 ISBN 3-540-20143-2, Kolpakov, A.G. Stressed Composite Structures, 2004 ISBN 3-540-40790-1 Shorr, B.F. The Wave Finite Element Method, 2004 ISBN 3-540-41638-2 Svetlitsky, V.A. Engineering Vibration Analysis - Worked Problems 1, 2004 ISBN 3-540-20658-2 Babitsky, V.I., Shipilov, A. Resonant Robotic Systems, 2003 ISBN 3-540-00334-7 Le xuan Anh, Dynamics of Mechanical Systems with Coulomb Friction, 2003 ISBN 3-540-00654-0
Sh. Kh. Soltakhanov · M. P. Yushkov · S. A. Zegzhda
Mechanics of non-holonomic systems A New Class of control systems With 37 Figures
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Series Editors: V.I. Babitsky University Loughborough Department of Mechanical Engineering Loughborough LE11 3TU, Leicestershire United Kingdom
J. Wittenburg Universit¨at Karlsruhe Fakult¨at Maschinenbau Institut f¨ur Technische Mechanik Kaiserstrasse 12 76128 Karlsruhe Germany
Authors: Prof. Dr. Shervani Kh. Soltakhanov Academy of Sciences of the Chechen Republic Grozny Chechen Republic Russia 364906
Prof. Dr. Mikhail P. Yushkov St. Petersburg State University Dept. Mathematics & Mechanics Universitetsky Pr. 28 St. Petersburg Russia 198504
Prof. Dr. Sergei A. Zegzhda St. Petersburg State University Dept. Mathematics & Mechanics Universitetsky Pr. 28 St. Petersburg Russia 198504
ISBN: 978-3-540-85846-1
e-ISBN: 978-3-540-85847-8
Foundations of Engineering Mechanics ISSN: 1612-1384
e-ISSN: 1860-6237
Library of Congress Control Number: 2008934357 c Springer-Verlag Berlin Heidelberg 2009 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights
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