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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Matthew, S. Allen Michael, W. Sracic |
| Copyright Year | 2009 |
| Abstract | This work develops methods to identify parametric models of nonlinear dynamic systems from response measurements using tools for Linear Time Periodic (LTP) systems. The basic approach is to drive the system periodically in a stable limit cycle and then measure deviations of the response from that limit cycle. Under certain conditions, the resulting response can be well approximated as that of a linear-time periodic system. In the analytical realm it is common to linearize a system about a periodic trajectory and then use Floquet analysis to assess the stability of the limit cycle. This work is concerned with the inverse problem, using a measured time-periodic response to derive a nonlinear dynamic model for the system. Recently, a few new methods were developed that facilitate the experimental identification of linear time periodic systems, and those methods are exploited in this work. The proposed system identification methodology is evaluated by applying it to a Duffing oscillator, demonstrating that the nonlinear force-displacement relationship can be identified without a priori knowledge of its functional form. The proposed methods are also applied to simulated measurements from a cantilever beam with a cubic nonlinear spring on its tip, revealing that the model order of the system and the displacement dependent stiffness can be readily identified. |
| Sponsorship | Design Engineering Division and Computers in Engineering Division |
| Starting Page | 731 |
| Ending Page | 741 |
| Page Count | 11 |
| File Format | |
| ISBN | 9780791849019 |
| DOI | 10.1115/DETC2009-87364 |
| e-ISBN | 9780791838563 |
| Volume Number | Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C |
| Conference Proceedings | ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
| Language | English |
| Publisher Date | 2009-08-30 |
| Publisher Place | San Diego, California, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Approximation Inverse problems Stability Dynamic systems Trajectories (physics) Dynamic models Limit cycles Stiffness Nonlinear dynamical systems Cantilever beams Springs Displacement |
| Content Type | Text |
| Resource Type | Article |
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