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Inicio  /  Nauka ta Progres Transportu  /  Núm: 30 Par: 0 (2009)  /  Artículo
ARTÍCULO
TITULO

Quaternion matrix in nonlinear dynamics of high-speed transport systems

V. V. Kravets    
V. V. Kravets    
T. V. Kravets    

Resumen

The system of four quaternion matrices for presentation of main relationships of the theory of final rotation, kinematics and nonlinear dynamics of an asymmetric solid body in a three-dimensional space is presented. By means of application of equations in the form of Euler-Lagrange and the system of four quaternion matrices, the block-matrix model of nonlinear dynamics of a free asymmetric solid body in a three-dimensional space is built. The results obtained are approved. The offered algorithms are adapted directly to computing experiment.

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