ANALYSIS OF IMPACT CHATTERING

Date

2016-01-01

Author

Akhmet, Marat

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In this paper, mechanical models with Newton's Law of impacts are studied. One of the most interesting properties in some of these models is chattering. This phenomenon is understood as the appearance of an infinite number of impacts occurring in a finite time. Conclusion on the presence of chattering is made exclusively by examination of the right hand side of impact models for the first time. Criteria for the sets of initial data which always lead to chattering are established. The Moon-Holmes model is subject to regular impact perturbations for the chattering generation. Using the chattering solutions, continuous chattering is generated. To depress the chattering, Pyragas control is applied. Illustrative examples are provided to demonstrate the impact chattering.

Subject Keywords

Pyragas control, Bouncing bead, Chattering, the Moon-Holmes model, Impact mechanism

URI

https://hdl.handle.net/11511/41317

Journal

MISKOLC MATHEMATICAL NOTES

DOI

https://doi.org/10.18514/mmn.2016.2102

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “ANALYSIS OF IMPACT CHATTERING,” MISKOLC MATHEMATICAL NOTES, pp. 707–721, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41317.