Investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2003.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/8037 |
| _version_ | 1811095143093108736 |
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| author | Johnson, Scott M. (Scott Matthew), 1978- |
| author2 | John R. Williams. |
| author_facet | John R. Williams. Johnson, Scott M. (Scott Matthew), 1978- |
| author_sort | Johnson, Scott M. (Scott Matthew), 1978- |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2003. |
| first_indexed | 2024-09-23T16:11:20Z |
| format | Thesis |
| id | mit-1721.1/8037 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T16:11:20Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/80372019-04-11T10:56:18Z Investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems Johnson, Scott M. (Scott Matthew), 1978- John R. Williams. Massachusetts Institute of Technology. Dept. of Civil and Environmental Engineering. Massachusetts Institute of Technology. Dept. of Civil and Environmental Engineering. Civil and Environmental Engineering. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2003. Includes bibliographical references (leaves 46-49). The efficiency of a discrete particle simulation implementation relies on several factors, including the geometric representation, contact resolution, and neighbor-sorting algorithm used. The focus here is on the first two of this list: the geometric representation and the corresponding contact resolution. An argument is developed to advocate the use of geometric representations with inconstant radius based on results of a numerical study of angles of repose for deposited grains. The equivalent spheres method is then developed as a potential cure for the problems arising from constant radius geometric representations. A coherent approach to utilizing this geometry in discrete element modeling is developed. This includes the proposal of an accurate, robust contact resolution algorithm and explicit functions to describe moments of inertia. Considerations for numerical modeling are also addressed, including numerical integration, formulation of rotation transformations, and resolution of forces and motions in the context of rigid body motions. The details of a generalized computational implementation of the representation are also given, and empirical convergence properties are compared with a different method for detecting contact between ellipsoidal approximations. by Scott M. Johnson. S.M. 2005-08-24T22:15:41Z 2005-08-24T22:15:41Z 2003 2003 Thesis http://hdl.handle.net/1721.1/8037 52754641 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 50 leaves 4063875 bytes 4063632 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Civil and Environmental Engineering. Johnson, Scott M. (Scott Matthew), 1978- Investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems |
| title | Investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems |
| title_full | Investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems |
| title_fullStr | Investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems |
| title_full_unstemmed | Investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems |
| title_short | Investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems |
| title_sort | investigation of efficient geometric shape algorithms for numerical simulation of discrete particle systems |
| topic | Civil and Environmental Engineering. |
| url | http://hdl.handle.net/1721.1/8037 |
| work_keys_str_mv | AT johnsonscottmscottmatthew1978 investigationofefficientgeometricshapealgorithmsfornumericalsimulationofdiscreteparticlesystems |