Stable Algorithms Based on Equiaffine Transformations

Authors

  • I. N. Efimov Tchaikovsky Technology Institute (branch) of Kalashnikov Izhevsk State Technical University
  • Е. А. Morozov Tchaikovsky Technology Institute (branch) of Kalashnikov Izhevsk State Technical University
  • S. А. Zhukova Tchaikovsky Technology Institute (branch) of Kalashnikov Izhevsk State Technical University
  • V. V. Magafurov Tchaikovsky Technology Institute (branch) of Kalashnikov Izhevsk State Technical University

Keywords:

case of Euler, equiaffine transformations, numerical algorithms, convergence

Abstract

Infinitesimal one-parameter transformations of the angular velocity space of the rigid object free rotation are determined. According to obtained transformations algorithms for numerical integration of motion equation are proposed that are resistant to error accumulation. The task of free rotation of a solid is considered as the example of the effective application of the proposed method.

Author Biographies

I. N. Efimov, Tchaikovsky Technology Institute (branch) of Kalashnikov Izhevsk State Technical University

DSc in Engineering, Professor

Е. А. Morozov, Tchaikovsky Technology Institute (branch) of Kalashnikov Izhevsk State Technical University

DSc in Engineering, Professor

S. А. Zhukova, Tchaikovsky Technology Institute (branch) of Kalashnikov Izhevsk State Technical University

PhD in Engineering, Associate Professor

V. V. Magafurov, Tchaikovsky Technology Institute (branch) of Kalashnikov Izhevsk State Technical University

Post-graduate

References

Ефимов И. Н., Морозов Е. А. Каноническое интегрирование динамических систем. – Екатеринбург ; Ижевск : Изд-во Ин-та экономики УрО РАН, 2006 – 198 с.

Арнольд В. И. Математические методы классической механики. – М., 1974. – 432 с.

Постников М. М. Аналитическая геометрия. – М., 1973. – 752 с.

Ландау Л. Д., Лифшиц Е. М. Механика. – М., 1965. – 204 с.

Демидович Б. П., Марон И. А., Шувалова Э. З. Численные методы анализа. – М., 1963. – 400 с.

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Published

15.09.2013

How to Cite

Efimov И. Н., Morozov Е. А., Zhukova С. А., & Magafurov В. В. (2013). Stable Algorithms Based on Equiaffine Transformations. Vestnik IzhGTU Imeni M.T. Kalashnikova, (3), 165–167. Retrieved from https://izdat.istu.ru/index.php/vestnik/article/view/2813

Issue

No. 3 (2013)

Section

Articles