Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
Equations of motion in quasicoordinates. / Soltakhanov, Shervani Kh; Yushkov, Mikhail P.; Zegzhda, Sergei A.
Mechanics of non-holonomic systems: A New Class of control systems. ed. / Shervani Soltakhanov; Sergei Zegzhda; Mikhail Yushkov. 2009. p. 193-211 (Foundations in Engineering Mechanics).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
}
TY - CHAP
T1 - Equations of motion in quasicoordinates
AU - Soltakhanov, Shervani Kh
AU - Yushkov, Mikhail P.
AU - Zegzhda, Sergei A.
N1 - Copyright: Copyright 2009 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - In the present chapter it is shown that all known types of equations of motion of nonholonomic systems are equivalent since they can be obtained from the invariant vector form of the law of motion of mechanical system with ideal constraints. The nonholonomicity of constraints, which does not allow for the equations of motion to be represented in the form of Lagrange's equations of the second kind, turns out to be most clearly if the equations of motion of nonholonomic system are written in quasicoordinates. In the case of linear constraints these equations are generated here by three different methods. This permits us to consider the problem of nonholonomicity from three different points of view.
AB - In the present chapter it is shown that all known types of equations of motion of nonholonomic systems are equivalent since they can be obtained from the invariant vector form of the law of motion of mechanical system with ideal constraints. The nonholonomicity of constraints, which does not allow for the equations of motion to be represented in the form of Lagrange's equations of the second kind, turns out to be most clearly if the equations of motion of nonholonomic system are written in quasicoordinates. In the case of linear constraints these equations are generated here by three different methods. This permits us to consider the problem of nonholonomicity from three different points of view.
UR - http://www.scopus.com/inward/record.url?scp=67049115527&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-85847-8_7
DO - 10.1007/978-3-540-85847-8_7
M3 - Chapter
AN - SCOPUS:67049115527
SN - 9783540858461
T3 - Foundations in Engineering Mechanics
SP - 193
EP - 211
BT - Mechanics of non-holonomic systems
A2 - Soltakhanov, Shervani
A2 - Zegzhda, Sergei
A2 - Yushkov, Mikhail
ER -
ID: 71884978