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Parameter identification using experimental nonlinear dynamics and chaos
dc.creator | Chancellor, Roy Scott | |
dc.date.accessioned | 2012-06-07T22:30:55Z | |
dc.date.available | 2012-06-07T22:30:55Z | |
dc.date.created | 1993 | |
dc.date.issued | 1993 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/ETD-TAMU-1993-THESIS-C4534 | |
dc.description | Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to digital@library.tamu.edu, referencing the URI of the item. | en |
dc.description | Includes bibliographical references. | en |
dc.description.abstract | Parameter identification using experimental nonlinear dynamics and chaos was applied to a piecewise-linear oscillator; application to cracked beams was attempted. Electronic integration circuitry was constructed to provide velocity and displacement data from accelerometer signals mounted on the test specimens. Data acquisition software samples velocity and displacement signals and displays a phase portrait or Poincare map on a computer screen. Experimental data show the chaotic nature of the piecewise- linear system through a phase portrait, Poincare map, frequency spectrum, and bifurcation diagram. Unstable periodic orbits were extracted from each chaotic time series obtained from the system configured with six different parameter values. The movement of the unstable periodic orbits in phase space is used to identify parameter changes in the system. Cracked beams were created by initiating fatigue cracks in aluminum beams. Several attempts to force the beams into chaos revealed how a crack half-way through a beam results in a weakly nonlinear system; such systems rarely display chaos. Recommendations on how to force a cracked beam into chaos are given. | en |
dc.format.medium | electronic | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | Texas A&M University | |
dc.rights | This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries in 2008. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use. | en |
dc.subject | mechanical engineering. | en |
dc.subject | Major mechanical engineering. | en |
dc.title | Parameter identification using experimental nonlinear dynamics and chaos | en |
dc.type | Thesis | en |
thesis.degree.discipline | mechanical engineering | en |
thesis.degree.name | M.S. | en |
thesis.degree.level | Masters | en |
dc.type.genre | thesis | en |
dc.type.material | text | en |
dc.format.digitalOrigin | reformatted digital | en |
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