Three dimensional rigid-body impact mechanics with friction

By formulating the rigid-body impact model and deriving the post-impact dynamic quantities, a reliable computational model for analyzing two dimensional rigid-body impact with the ground is developed. The complicated structure of different objects and slide/stick/reverse slide conditions changing on ground suggested that the rigid body impact model should be used. And these three conditions are classified into seven impact cases. A two-dimensional experiment was conducted to validate the simulation impact model. Based on an experimental study on the impacts, and available experimental data in the literature, a validation study is conducted to ensure its accuracy. After that, the impact computational model is extended into three dimensional rigid-body impact by formulating the governing equations. The seven cases are extended to eleven possible cases. Then the rigid-body impact analysis was concluded with three examples, ball, rod and bar, which validated the use of the two dimensional model for analyzing certain three dimensional impacts. Several examples were presented to study the influence of input parameters such as orientation angles, coefficient of friction and coefficient of restitution on post-impact dynamic quantities, case study and energy dissipation. After the discussion, we conclude that the characteristics of 3D impact follow closely those of two-dimensional impact. A three-dimensional experiment is conducted to validate the computational impact model. For processing of impact image, Matlab programs are developed for image enhancement and motion capture. An error analysis is also performed to study the accuracy of the experiments. With the comparison between experiment and computational modeling, we observed that the simulation predictions were quite close to the experimental results with less than 10\% error in the dissipation energy thereby validating our analysis.Ph.D.Includes bibliographical referencesby Han Su