Evaluation of a direct time integration scheme for dynamic analysis
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2008
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| Online Access: | http://hdl.handle.net/1721.1/40479 |
| _version_ | 1826205747614056448 |
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| author | Sanchez, Jennifer D. (Jennifer D'Metria) |
| author2 | Klaus-Jürgen Bathe. |
| author_facet | Klaus-Jürgen Bathe. Sanchez, Jennifer D. (Jennifer D'Metria) |
| author_sort | Sanchez, Jennifer D. (Jennifer D'Metria) |
| collection | MIT |
| description | Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007. |
| first_indexed | 2024-09-23T13:18:07Z |
| format | Thesis |
| id | mit-1721.1/40479 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T13:18:07Z |
| publishDate | 2008 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/404792019-04-10T23:27:15Z Evaluation of a direct time integration scheme for dynamic analysis Sanchez, Jennifer D. (Jennifer D'Metria) Klaus-Jürgen Bathe. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Mechanical Engineering. Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007. Includes bibliographical references (p. 43). Direct integration schemes are important tools used in the dynamic analysis of many structures. It is critical that the solutions obtained from these schemes produce accurate results. Currently, one of the most widely used direct integration schemes is the trapezoidal rule. It is favored because it is a method that requires single steps and its results are second-order accurate. However, in cases where there are large deformations and longer integration times, the trapezoidal rule fails. A new composite method scheme shows promise in maintaining stability where the trapezoidal rule fails. It is a two step method that makes use of the trapezoidal rule and the three-point Euler backward method. The purpose of this study is to compare the trapezoidal rule and the new composite method using two nonlinear problems in order to determine if the composite method generates more accurate results than the trapezoidal rule. by Jennifer D. Sanchez. S.B. 2008-02-27T22:30:09Z 2008-02-27T22:30:09Z 2007 2007 Thesis http://hdl.handle.net/1721.1/40479 191800497 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 43 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mechanical Engineering. Sanchez, Jennifer D. (Jennifer D'Metria) Evaluation of a direct time integration scheme for dynamic analysis |
| title | Evaluation of a direct time integration scheme for dynamic analysis |
| title_full | Evaluation of a direct time integration scheme for dynamic analysis |
| title_fullStr | Evaluation of a direct time integration scheme for dynamic analysis |
| title_full_unstemmed | Evaluation of a direct time integration scheme for dynamic analysis |
| title_short | Evaluation of a direct time integration scheme for dynamic analysis |
| title_sort | evaluation of a direct time integration scheme for dynamic analysis |
| topic | Mechanical Engineering. |
| url | http://hdl.handle.net/1721.1/40479 |
| work_keys_str_mv | AT sanchezjenniferdjenniferdmetria evaluationofadirecttimeintegrationschemefordynamicanalysis |