On the Study of the Motion of a System of Two Connected Rigid Bodies by Computer Algebra Methods
| Autor: | Tatiana Titorenko, Valentin Irtegov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov function
Characteristic function (convex analysis) 050101 languages & linguistics 05 social sciences Motion (geometry) Equations of motion 02 engineering and technology Basis (universal algebra) Symbolic computation Algebra symbols.namesake ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing 0501 psychology and cognitive sciences Point (geometry) Constant (mathematics) Mathematics |
| Zdroj: | Computer Algebra in Scientific Computing ISBN: 9783030600259 CASC |
| DOI: | 10.1007/978-3-030-60026-6_15 |
| Popis: | Stationary motions of a system of two connected rigid bo-dies in a constant gravity field are studied. With the help of computer algebra tools, we construct the symbolic characteristic function of the system and use it as a starting point for deriving the equations of motion. Stationary solutions of the equations which correspond to permanent rotations of the system are found and their stability in the sense of Lyapunov is investigated. The computer algebra system Mathematica and the software package developed on its basis are applied to solve the problems under study. |
| Databáze: | OpenAIRE |
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