Multi-body kinematics and dynamics in terms of quaternions: Langrange formulation in covariant form: Rodriguez approach

Autor: Zorić Nemanja D., Lazarević Mihailo P., Simonović Aleksandar M.
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: FME Transactions, Vol 38, Iss 1, Pp 19-28 (2010)
Druh dokumentu: article
ISSN: 1451-2092
2406-128X
Popis: This paper suggests a quaternion approach for the modeling kinematics and dynamics of rigid multi-body systems. Instead of the regular 'Newton-Euler' and Lagrange method used in the traditional way, Lagrange's equations of second kind in the covariant form are used by applying Rodriguez approach and quaternion algebra. A model of multi-body system of n rigid bodies in terms of quaternions is obtained, which is useful for studying kinematics, dynamics as well as for research of control system designs.
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