- Tytuł:
- Chaotic vibration of an autoparametrical system with the spherical pendulum
- Autorzy:
-
Sado, D.
Freundlich, J.
Bobrowska, A. - Powiązania:
- https://bibliotekanauki.pl/articles/281820.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
spherical pendulum
energy transfer
coupled oscillators
chaos - Opis:
- In the paper, the dynamics of a three degree of freedom vibratory system with a spherical pendulum in the neighbourhood of internal and external resonance is considered. It has been assumed that the spherical pendulum is suspended to the main body which is then suspended to the element characterized by some elasticity and damping. The system is excited harmonically in the vertical direction. The equation of motion has been solved numerically. The influence of initial conditions on the behaviour of the spherical pendulum is investigated. In this type of the system, one mode of vibration may excite or damp another one, and for different kinds of periodic vibrations there may also appear chaotic vibrations. For characterization of an irregular chaotic response, time histories, bifurcation diagrams, power spectral densities, Poincar´e maps and the maximum Lyapunov exponents have been calculated.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 779-786
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł