Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 42, Issue 21-22, Pages 5669-5682Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2005.03.018
Keywords
chaos; Coulomb friction; Melnikov's method
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We consider two coupled oscillators with negative Duffing type stiffness which are self (due to friction) and externally (harmonically) excited. The fundamental solutions of the homoclinic orbit are constructed. Then, the Melnikov-Gruendler approach is used to define the Melnikov's function including smooth and stick-slip chaotic behaviour. Theoretical considerations are supported by numerical examples. (c) 2005 Elsevier Ltd. All rights reserved.
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