The Proceedings of the Dynamics & Design Conference
Online ISSN : 2424-2993
2006
Session ID : 337
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337 Transition Matrix Expression for Attitude Motion of Spinning Tops
Chikara MURAKAMI
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CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract
The author had already proposed a simple second order linearized equation of motion for the axisymmetric spinning bodies such as tops. The equation contains influence of both gravity and weak friction torque. This time, it was transformed into the state equation and the transition matrix solution was derived. As a result, because loci of the angular momentum, the angular velocity, the spin axis and the contact point to the desk of the spinning body can be easily drawn, the insight to the behavier of the body is obtained. Spinning motion of a circular flat ellipsoid is also analyzed.
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© 2006 The Japan Society of Mechanical Engineers
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