✦ LIBER ✦

Application of graph theory to the determination of kinetic energy of rigid body systems

✍ Scribed by K. Arczewski

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 881 KB
Volume: 324
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(87)90048-2

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✦ Synopsis

The process of determining the kinetic energy as a function of generalized coordinates and velocities of rigid body systems is often extremely laborious. In this paper a method is presented by means of which all the kinetic energy terms ef a system possessing a tree structure are calculated in a systematic manner. The paper contains the derivation qf a general formula for kinetic energy which is then exempIiJied in the case of planar motion. A particular example qf the six degree-of-freedom rigid body system in planar motion is also provided.

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