Kinematics of the most general motion of a rigid body

Zusatztext

A comparative analysis of the methods of obtaining Eulers kinematic equations has been made. For this purpose, Poissons method has been used for obtaining the velocity distribution law and for introducing the angular velocity vector. A suggestion for a new approach to obtaining Eulers kinematic equations has been presented. The distribution velocity law obtained using the synthetic method has been reviewed in detail. This method is based on Eulers theorem and the introduction of the finite and infinitesimal rotations. The velocity distribution of the points in a rigid bodys general motion on the basis of certain invariants has been analysed. A review of the projective theory of the most general motion of a rigid body has been presented. In this theory, an original method has been constructed on a deductive basis for the purpose of obtaining the velocity distribution law. A new method of obtaining the angular velocity vector in terms of velocities of three main (basic) points has been presented.

Autorenportrait

Stefan Bachvarov holds a DSc degree and professorship at the TU Sofia. He has numerous publications and books in Theoretical and Analytical Mechanics, Mechanics of Machines and Robots. Vassil Zlatanov has a PhD degree and is Associate Professor at the UFT Plovdiv. He has publications in Theoretical Mechanics and Mechanics of Machines and Robots.

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