TY - JOUR T1 - Methodological and Comparative Study of Techniques for the Description of the Movement of Multibody Systems (mbs) AU - , Mahmoud Gouasmi AU - , Mohammed Ouali AU - , Mustapha Rahmani JO - Journal of Engineering and Applied Sciences VL - 3 IS - 12 SP - 905 EP - 910 PY - 2008 DA - 2001/08/19 SN - 1816-949x DO - jeasci.2008.905.910 UR - https://makhillpublications.co/view-article.php?doi=jeasci.2008.905.910 KW - Robotics KW -euler angles KW -Lie groups and Lie algebra KW -(SO3) KW -quaternions KW -dual quaternions AB - Our research, with its rather educational and peadagogical character, consists at first; in defining the 3 main methods used for the description of the motion of multibody systems to be known: the angles, the orthogonal and homogeneous matrices (SO3) as well as the quaternions, then to use them (numerical application) for the kinematic study of a manipulator (robot) of 6 degrees of freedom and finally to analyze and to compare the found results. This comparative study will allow us to demystify the Lie groups and Lie algebra as for their use in Mechanics and Robotics and especially to demystify and to popularize the use of quaternions in the same optics. ER -