This paper presents an efficient treatment of gyroscopic bodies in the recursive solution of the dynamics of an -body system. The bodies of interest include the reaction wheels in satellites, wheels on a car, and flywheels in machines. More specifically, these bodies have diagonal inertia tensors. They spin about one of its principal axes, with the moment of inertia along the transverse axes identical. Their center of mass lies on the spin axis. Current recursive solution methods treat these bodies identically as any other body in the system. The proposition here is that a body with gyroscopic children can be collectively treated as a composite body in the recursive solution process. It will be shown that this proposition improves the recursive solution speed to the where is the number of gyroscopic bodies in the system. A satellite with three reaction wheels is used to illustrate the proposition.
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October 2008
Research Papers
Efficient Treatment of Gyroscopic Bodies in the Recursive Solution of Multibody Dynamics Equations
Martin M. Tong
Martin M. Tong
The Aerospace Corporation
, 2350 E. El Segundo Boulevard, El Segundo, CA 90245-4691
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Martin M. Tong
The Aerospace Corporation
, 2350 E. El Segundo Boulevard, El Segundo, CA 90245-4691J. Comput. Nonlinear Dynam. Oct 2008, 3(4): 041006 (6 pages)
Published Online: August 21, 2008
Article history
Received:
May 22, 2007
Revised:
October 19, 2007
Published:
August 21, 2008
Citation
Tong, M. M. (August 21, 2008). "Efficient Treatment of Gyroscopic Bodies in the Recursive Solution of Multibody Dynamics Equations." ASME. J. Comput. Nonlinear Dynam. October 2008; 3(4): 041006. https://doi.org/10.1115/1.2960470
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