Contact and Motion Analysis of Tetrahedron Elements Using Discrete Element Method

• Main Authors: In-Yi Lai, 賴銀億
• Other Authors: Chao-Hsun Huang
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/936f2g

碩士 === 國立臺北科技大學 === 土木與防災研究所 === 102 === This study proposed an algorithm, based on 3D Discrete Element Method (DEM), that can simulate motion of discrete rigid body tetrahedron system and implemented by C++ programming language. The algorithm defined two contact types, which are vertex-to-surface and edge-to-edge, and we can only use these two results to derive other four contact types (vertex-to-vertex, vertex-to-edge, edge-to-surface and surface-to-surface). According to the motion of equation, the discrete element system will update coordinates of each tetrahedron block''s vertices. In every time step, we can use the correct contact detection result to find out tetrahedron block''s contact point and penetration and by given contact spring stiffness to calculate contact force. The correct contact force will accomplish next step''s motion of discrete tetrahedron system. Until the time reaches the end we set, the simulation of motion stopped and output the information we need that we can process these datas with other commercial software.