Analyzing the angular acceleration vector of a moving rigid body. (English) Zbl 1541.70002
The present paper is an alternative authors’ approaches to determine the position, velocity and acceleration in the spatial motion of a rigid body. In the considered method, an expression for the angular acceleration vector involves relations between position vectors, velocity vectors and acceleration, and the vectors of three non-collinear body points. On the base of the relationship between orientation vector, vector of angular velocity, angular acceleration and vector of spatial motion of rigid body, a good result is obtained in symbolic form. Examples are given which demonstrate the idea of the paper.
Reviewer: Clementina Mladenova (Sofia)
MSC:
| 70B10 | Kinematics of a rigid body |
Keywords:
first/second body-pose time derivative; non-collinear body points; orientation vector; symbolic angular acceleration representationReferences:
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