Download PDF by G. C. Andrews, H. K. Kesavan (auth.), Dr. rer. nat. Kurt: Dynamics of Multibody Systems: Symposium Munich/Germany

By G. C. Andrews, H. K. Kesavan (auth.), Dr. rer. nat. Kurt Magnus (eds.)

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Extra info for Dynamics of Multibody Systems: Symposium Munich/Germany August 29–September 3, 1977

Example text

12 ) It is positive definite forA)I 3 . 2) allows the continuation of the stability domain to some A interval. For A < 11 ** in this there are three negative eigenvalues and the construction of a positive definite function is clearly impossible, as was indicated by linear analysis. 4. An example for the Influence of Damping To represent the damping, we introduce a friction torque in the angular momentum equation and we assume that M is a given function of the angular velocity~ . :! lC Q= M . 1) Obviously, the integrals of motion of the undamped system are now functions of time and the foregoing stability analysis invalid.

A. , June 1977. [3] R. Pringle, Jr. A. Journal, Vol. 7, pp 1217 - 1222 (July, 1968) Multibody System Applications and Simulations at the Jet Propulsion Laboratory* G. E. FLEISCHER Jet Propulsion Laboratory California Institute of Technology Summary The historical development at the Jet Propulsion Laboratory (JPL) of generic computer programs for solving the H-M-H equations of motion of point-connected sets of rigid bodies in a topological tree is traced, as well as the application of these programs and the multibody modelling approach to the design of spacecraft control systems.

44 Current Multibody Programs and Applications As the design and testing of Viking Orbiter was drawing to a close, Likins was developing a generalized formulation for a rigid-body tree with provision for connecting nonrigid appendages to any member [7]. The nonrigid appendages' small deformations would be characterized by distributed coordinates and the rigid bodies' motions by discrete coordinates. This hybrid coordinate formula- tion, furthermore, could be implemented by generic computer programs very similar to those already developed for the H-M-H formulation.

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Dynamics of Multibody Systems: Symposium Munich/Germany August 29–September 3, 1977 by G. C. Andrews, H. K. Kesavan (auth.), Dr. rer. nat. Kurt Magnus (eds.)


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