Banshchikov Andrej V., Bourlakova Larissa A., Ivanova Galina N., Irtegov
Valentin D., Titorenko Tatyana N.
Institute of System Dynamics and Control Theory
Siberian Branch Russian Academy of Sciences
134, Lermontov str., Irkutsk, 664033, Russia
E-mail: irteg@icc.ru
Abstract
In the report long-term experience of the authors on development of
algorithms and automation of a research of complicated mechanical and controlled
systems is considered. We have created specialized systems of computer
algebra (CAS) and software packages "Dynamics", "Mechanic" possibility
and the algorithms of which are described in [1-5 and other]. Currently
we are developing software system [6-9] for solving mechanical problems
based on CAS "Mathematica" [10]. The software allows to automatize, and
consequently, essentially to speed up processes of modelling and dynamic
analysis of complicated systems, to avoid errors at all stages of researches.
The base of the algorithms, which are realized in these packages, was formed
by classical methods of analytical mechanics and stability theory. Our
experience with symbolic computation packages allows us to conclude that
CAS are perspective tool for researches in the eld of theoretical mechanics.