Analysis and visualization of equilibrium in masonry structures
Thesis: S.M. in Computer Science and Engineering, Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2014.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2014
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| Online Access: | http://hdl.handle.net/1721.1/87950 |
| _version_ | 1826202508633047040 |
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| author | Shin, Hijung Valentina |
| author2 | Frédo Durand and John A. Ochsendorf. |
| author_facet | Frédo Durand and John A. Ochsendorf. Shin, Hijung Valentina |
| author_sort | Shin, Hijung Valentina |
| collection | MIT |
| description | Thesis: S.M. in Computer Science and Engineering, Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2014. |
| first_indexed | 2024-09-23T12:08:17Z |
| format | Thesis |
| id | mit-1721.1/87950 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T12:08:17Z |
| publishDate | 2014 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/879502019-04-12T14:11:39Z Analysis and visualization of equilibrium in masonry structures Shin, Hijung Valentina Frédo Durand and John A. Ochsendorf. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science. Electrical Engineering and Computer Science. Thesis: S.M. in Computer Science and Engineering, Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2014. Cataloged from PDF version of thesis. Includes bibliographical references (pages [41]-44). This thesis presents novel analysis and visualization methods to explore the equilibrium of masonry structures. Following a previous approach, we model the stability problem as a quadratic program. When a structure is unstable the quadratic program returns a measure of infeasibility. We extend this model to include tensile structures such as cables. Then, we derive a closed-form gradient of stability with respect to geometry modifications, and apply it to the design of structurally sound buildings. In addition, we analyze various properties related to the equilibrium state of structures and visualize the result. We study the sensitivity of equilibrium with respect to block weights, and from that we trace the flow of forces in the structure. Finally, we compare the equilibrium approach to the finite element analysis (FEA) method-the most widely used alternative. We point out the disadvantage of FEA that comes from formulating the contact constraints and propose an improvement based on an iterative constraint relaxation algorithm. by Hijung Valentina Shin. S.M. in Computer Science and Engineering 2014-06-13T22:35:39Z 2014-06-13T22:35:39Z 2014 2014 Thesis http://hdl.handle.net/1721.1/87950 880417323 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 44 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Electrical Engineering and Computer Science. Shin, Hijung Valentina Analysis and visualization of equilibrium in masonry structures |
| title | Analysis and visualization of equilibrium in masonry structures |
| title_full | Analysis and visualization of equilibrium in masonry structures |
| title_fullStr | Analysis and visualization of equilibrium in masonry structures |
| title_full_unstemmed | Analysis and visualization of equilibrium in masonry structures |
| title_short | Analysis and visualization of equilibrium in masonry structures |
| title_sort | analysis and visualization of equilibrium in masonry structures |
| topic | Electrical Engineering and Computer Science. |
| url | http://hdl.handle.net/1721.1/87950 |
| work_keys_str_mv | AT shinhijungvalentina analysisandvisualizationofequilibriuminmasonrystructures |