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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Albert, C. J. Luo Mehul, T. Patel |
| Copyright Year | 2007 |
| Abstract | The complex motions in periodically forced oscillator with multiple discontinuities are investigated in this paper. From the local singularity theory in discontinuous systems, the passability condition of motion flow from one domain to the adjacent one in phase space is presented, and the sliding and grazing conditions of motion flows to discontinuous boundaries are given to understand the mechanism of such complex motions. From the separation boundary, the generic mappings are defined for mapping structures. A generalized mapping structure is introduced for all complex periodic motions, and the local stability and bifurcations of periodic motions in such a discontinuous system are discussed. The passability of motion flow to the discontinuous boundary is used for motion continuity, and the grazing condition of flow to the discontinuous boundary is employed for the vanishing of complex motion. Complex periodic motions with sliding and grazing in such a discontinuous system are predicted analytically and chaotic motions are also illustrated. |
| Sponsorship | Design Engineering Division and Computers and Information in Engineering Division |
| Starting Page | 2235 |
| Ending Page | 2247 |
| Page Count | 13 |
| File Format | |
| ISBN | 0791848027 |
| DOI | 10.1115/DETC2007-34872 |
| e-ISBN | 0791838064 |
| Volume Number | Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C |
| Conference Proceedings | ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
| Language | English |
| Publisher Date | 2007-09-04 |
| Publisher Place | Las Vegas, Nevada, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Bifurcation Stability Separation (technology) Flow (dynamics) Phase space |
| Content Type | Text |
| Resource Type | Article |
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