Calculation Model of Ball Spinning Force of Thin-walled Tubes

doi:10.3969/j.issn.1000-1093.2015.05.024

Abstract

Abstract: An analytical model is presented to calculate the 3D ball spinning force. The spatial relation expression of the ball and workpiece is simplified through the rotation of spatial coordinates according to the track of the ball. The contact boundary equations of the ball and the workpiece are obtained based on the theory of space analytic geometry and the assumption that the spinning workpiece is a semi-infinite body，and the 2D curves are obtained by projecting on the coordinate planes. The projection of spatial contact area on each coordinate plane is calculated. The unit pressure in the deformation zone is given based on the assumption that the average pressure is approximately equal to that while a rigid ball is pressed into the space of semi-infinite body，and then the total spinning force and its components could be calculated. The comparison between theoretical results and experimental data shows that the proposed model is accurate.

Key words: ordnance science and technology, ball spinning, spinning force, rotation of coordinate, analytical model, experimental comparison

CLC Number:

TG316

ZHAO Chun-jiang， WANG Chen， GENG Ming-chao. Calculation Model of Ball Spinning Force of Thin-walled Tubes[J]. Acta Armamentarii, 2015, 36(5): 928-932.

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