| Name: | Matrix Methods for Mechanical Systems: A Small Planar Truss |
| ID: | m10147 |
| Language: | English (en) |
| Summary: | Continuing with discussion of matrix methods for solving mechanical problems, we consider a simple swing. Using the method developed in the uniaxial problem, we encode the physics of the problem into matrices. Gaussian elimination leaves us with a singular matrix. We discuss the implications of this, and hint at possible ways to obtain a solution when the S matrix is singular. |
| Subject: | Mathematics and Statistics, Science and Technology |
| Keywords: | biaxial testing problem, big O, pseudo inverse, pseudo-inverse, small planar truss, unstable mode |
| Document Type: | -//CNX//DTD CNXML 0.5 plus MathML//EN |
| License: | Creative Commons Attribution License (CC-BY 1.0) |
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| Authors: | Doug Daniels (ddaniels888@gmail.com) |
| Copyright Holders: | Doug Daniels (ddaniels888@gmail.com) |
| Maintainers: | Doug Daniels (ddaniels888@gmail.com) |
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| Version: | 2.6 (history) |
| Created: | Jun 27, 2001 12:00 am GMT-5 |
| Revised: | Sep 7, 2004 5:36 pm GMT-5 |
| Version: | 2.6 Sep 7, 2004 5:36 pm GMT-5 by Charlet Reedstrom |
| Changes: | updated module to cnxml-0.5, removed extraneous degree tags, changed mi to mn where needed |
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| Version: | 2.5 Jul 23, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | change the version to 0.4. Liqun |
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| Version: | 2.4 Dec 17, 2001 12:00 am US/Central by (Unknown) |
| Changes: | broke up very long equation and fixed typos |
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| Version: | 2.3 Aug 23, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed cnxn modules |
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| Version: | 2.2 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed image to be image/png |
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| Version: | 2.1 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | created new module |
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| Version: | 2.0 Jun 27, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Added initial template for new module m10147 |
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Daniels, D. Matrix Methods for Mechanical Systems: A Small Planar Truss, Connexions Web site. http://cnx.org/content/m10147/2.6/, Sep 7, 2004.
Daniels D. Matrix Methods for Mechanical Systems: A Small Planar Truss [Connexions Web site]. September 7, 2004. Available at: http://cnx.org/content/m10147/2.6/.
Daniels, D. (2004, September 7). Matrix Methods for Mechanical Systems: A Small Planar Truss. Retrieved from the Connexions Web site: http://cnx.org/content/m10147/2.6/
Daniels, Doug. "Matrix Methods for Mechanical Systems: A Small Planar Truss." Connexions. September 7, 2004. http://cnx.org/content/m10147/2.6/.
Doug Daniels, "Matrix Methods for Mechanical Systems: A Small Planar Truss," Connexions, September 7, 2004, http://cnx.org/content/m10147/2.6/.
Daniels, D. 2004. Matrix Methods for Mechanical Systems: A Small Planar Truss. Connexions, September 7, 2004. http://cnx.org/content/m10147/2.6/.
Daniels, Doug. Matrix Methods for Mechanical Systems: A Small Planar Truss. Connexions. 7 Sep. 2004 <http://cnx.org/content/m10147/2.6/>.