July 2015
Journal of Computational & Applied Mechanics;2015, Vol. 10 Issue 2, p169
Academic Journal
The aim of this paper is to analyze some second order motion properties of rigid body motion. The existence of unique acceleration center is proven by means of vector-tensor algebra for the case when the vectors of angular velocity and of angular acceleration are linearly independent. The case when the vectors of angular velocity and of angular acceleration are linearly dependent is also considered. Explicit coordinate free relationships are derived for the position of the acceleration center and axis. A detailed analysis of the linear eigenvalue problem arising in the definition of acceleration axis is presented.


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