Numerical Simulation of Three-Dimensional Round Particles

• Main Authors: Bo-Han Wu, 吳柏翰
• Other Authors: 莊清鏘
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/42801438935786926466

碩士 === 中原大學 === 土木工程研究所 === 96 === In this paper, a three-dimensional ball theory based on Discrete Element Method (DEM) original proposed by Cundall(1971) was developed and the rules of contact detection, calculations of contact force and frictions are discussed. Besides, the conservation of energy and conservation of momentum are verified. Lastly, the accuracy and feasibility of proposed program are also validated. Because the two-dimensional disks are not able to simulate the realistic phenomenon of particle motion, thus a three-dimensional particle theory is developed. In this study, the concept of relative motion was applied in the calculations of contact force and frictions. Lastly, the accuracy and stability of the traditional equilibrium of force and equilibrium of momentum-impulse are compared in discrete element method. Results showed that in the normal contact the accuracy and stability of momentum-impulse equilibrium are better than the traditional force equilibrium. Also, the former could have a wider range of contact spring stiffness without losing accuracy.