| Autor: |
H. I. Weber, D. H. Z. Carrera |
| Rok vydání: |
2011 |
| Předmět: |
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| Zdroj: |
Springer Proceedings in Physics ISBN: 9789400720688 |
| DOI: |
10.1007/978-94-007-2069-5_54 |
| Popis: |
The Magnus demonstration gyroscope is an instrument that allows a series of amazing experiences when the rotor loses its axial symmetry. It consists of a rotor on two gimbals whose inertia and energy loss will be considered in the modeling. A normalization procedure to reduce the number of parameters is established. Unlimited rotation around the center is possible for all bodies. A pointer on the rotor shaft will allow to define two distinct hemispheres which may capture for some instants the motion, when the energy decreases due to damping. In changing hemispheres the usual singularities occurring with Euler angles are crossed challenging the numerical methods. For non symmetric rotors a minimum kinetic energy will be needed to eject the motion from Lyapunov stable orbits to a sequence of jumps between both defined hemispheres. In this condition the movement does not remain inside any basin of attraction, it continues tumbling without regard to the loss of kinetic energy. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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