This paper deals with the computation of the values of two functionals which are defined over the sample paths of a randomly rotating rigid body. It is assumed that the body is subjected to two dinerent kinds of perturbation. The first kind of perturbation is represented by the standard Wiener proce
Algebraic computation of the twist of a rigid body through direct measurements
โ Scribed by Daniel Condurache; Mihaela H. Matcovschi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 157 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
The aim of the paper is to present a procedure for the automatic computation of the twist of a rigid body and of its derivative with respect to time. This procedure is done through direct measurements, based on the velocities and accelerations of three non-collinear points of the rigid body. Firstly, the case of a rigid body in spherical motion is considered. Next, the case of the general motion is studied. Two algorithms for the algebraic computation of the twist of a rigid body and its derivative are further presented. Finally, an example is delivered.
๐ SIMILAR VOLUMES
A dynamical system is constructed in the multiplicative group of the quartemion algebra H that serves as the configuration space. A homomorphism H ~ SO( 3) is used such that the unit sphere S 3 C H, invariant under the system, is transformed into the rotation group SO(3). The homornorphic image of t