Quaternion matrix in nonlinear dynamics of high-speed transport systems

Authors

  • V. V. Kravets Ukrainian national Chemical and Technological University, Ukraine
  • V. V. Kravets Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, Ukraine
  • T. V. Kravets Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, Ukraine

DOI:

https://doi.org/10.15802/stp2009/14622

Keywords:

quaternion matrix, nonlinear dynamics, transport system

Abstract

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.

Author Biographies

V. V. Kravets, Ukrainian national Chemical and Technological University

В. В. Кравец, д.т.н., профессор

V. V. Kravets, Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan

В. В. Кравец, к.т.н. доцент

T. V. Kravets, Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan

Т. В. Кравец, асс.

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Published

2009-12-25

How to Cite

Kravets, V. V., Kravets, V. V., & Kravets, T. V. (2009). Quaternion matrix in nonlinear dynamics of high-speed transport systems. Science and Transport Progress, (30), 155–160. https://doi.org/10.15802/stp2009/14622

Issue

No. 30 (2009): ISSUE 30

Section

ROLLING STOCK AND TRAIN TRACTION

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