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020 _a9783540858478
_99783540858478
024 7 _a10.1007/9783540858478
_2doi
035 _avtls000352132
039 9 _a201509030934
_bVLOAD
_c201405060301
_dVLOAD
_y201402171153
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aTA349-359
100 1 _aSoltakhanov, Shervani Kh.
_eautor
_9335166
245 1 0 _aMechanics of non-holonomic systems :
_bA New Class of control systems /
_cby Shervani Kh. Soltakhanov, Mikhail P. Yushkov, Sergei A. Zegzhda.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aFoundations of Engineering Mechanics,
_x1612-1384
500 _aSpringer eBooks
505 0 _aHolonomic Systems -- Nonholonomic Systems -- Linear Transformation Of Forces -- Application Of A Tangent Space To The Study Of Constrained Motion -- The Mixed Problem Of Dynamics. New Class Of Control Problems -- Application Of The Lagrange Multipliers To The Construction Of Three New Methods For The Study Of Mechanical Systems -- Equations Of Motion In Quasicoordinates.
520 _aA 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aYushkov, Mikhail P.
_eautor
_9335167
700 1 _aZegzhda, Sergei A.
_eautor
_9335168
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783540858461
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-540-85847-8
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c298652
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