Document Type


Date of Award


Degree Name

Master of Science in Mechanical Engineering - (M.S.)


Mechanical and Industrial Engineering

First Advisor

Rajesh N. Dave

Second Advisor

Anthony D. Rosato

Third Advisor

Ian Sanford Fischer


Collision parameter evaluation of rigid spherical particles requires estimation of pre- and post-impact position, velocity and angular velocity vectors of colliding particles. A three dimensional experimental technique is devised where the instantaneous position and orientation of the particles are determined by analyzing frames obtained through high speed video imaging system. Since the image obtained is two dimensional, a mirror setting is designed to capture two orthogonal views of collision in order to estimate motion in depth. The translational velocity vector is determined from the position information extracted through application of available image analysis techniques over two time frames of digitized image. The angle and the axis of rotation between two time frames is determined by tracking a few randomly marked feature points on the spheres. In order to reduce the effect of error involved in the coordinate measurement in rotation estimation, a least square fitting of the set of three dimensional feature points is employed. The technique performed satifactorily in rotation vector estimation. The method developed here is applied to a set of experimental data for computation of collision parameters. Preliminary results indicate a need for improving the accuracy of position measurement.



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