Assessment of the accuracy of a dynamic system solution through the law of conservation of energy
Artykuł w czasopiśmie
| Status: | |
| Autorzy: | Rysak Andrzej |
| Dyscypliny: | |
| Aby zobaczyć szczegóły należy się zalogować. | |
| Wersja dokumentu: | Elektroniczna |
| Język: | angielski |
| Numer artykułu: | 121801 |
| Strony: | 1 - 51 |
| Web of Science® Times Cited: | 0 |
| Scopus® Cytowania: | 0 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| This paper proposes a new measure (called EBI) for error assessment in dynamic system solutions. The measure is phenomenological in nature. It uses neither mathematical equations nor solution method algorithms; but rather assesses the deviation of solutions from the law of conservation of energy that governs a given phenomenon or process. The features of the EBI measure are demonstrated on the example of results for two basic dynamic systems: the harmonic oscillator and the Duffing system, obtained by the RK4 method and the ode45 (Matlab) solver. The changes in the EBI measure depending on the time step parameter, the damping force coefficient and the excitation frequency are compared for solutions of different accuracy. The proposed measure is dimensionless, and the results show that its value depends neither on the amplitude of the system vibrations nor on the duration of the simulation performed to calculate this value. Sets of comparative characteristics allow for the assessment of changes in a wide range of EBI values due to variations in different parameters. They also serve as a basis for determining specific values of the time step parameters, below which the variability of the EBI measure does not depend on the parameters of the dynamic system. |
