847. Accuracy of Estimating Principal Axis Orientation by Tangent 2-Theta

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Paper

P McGuire: 847. Accuracy of Estimating Principal Axis Orientation by Tangent 2-Theta. 1970.

 

Abstract

This paper represents the results of a parametric investigation conducted to determine the accuracy of locating principal inertial axes by the relation tan 2(theta)xy = (2Pxy)/(Ix-Iy). Results calculated by the above equation are compared with corresponding angles obtained in an eigenvalue solution. It is shown that for; a) small product of inertia, or b) large values of the term (Ix – Iy), the above provides a good approximation. It is further shown that if either of these conditions are violated, the predicted angle diverges rapidly from the exact solution. The method outlined in the paper is applicable to any configuration, independent of its geometry.

 

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