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Periodic and chaotic behaviour of a threshold-limited two-degree-of-freedom system
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mechanics of Solid Materials.ORCID iD: 0000-0001-6016-6342
1993 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 165, no 2, p. 305-327Article in journal (Refereed) Published
Abstract [en]

A two-degree-of-freedom impact oscillator with proportional damping is considered. The maximum displacement of one of the masses is limited to a threshold value by a rigid wall, which gives rise to a non-linearity in the system. Impacts between the mass and the wall are described by a coefficient of restitution. The behaviour of the system is rich and includes features like period doublings, period havings, jumps, chaos, etc. Periodic motions of the system are studied by analytical methods. The influence of system parameters such as damping, coefficient of restitution, distribution of masses and clearance, etc., is studied for some extreme values of these parameters. The stability of a class of periodic motions is investigated. Parameter ranges which result in stable periodic multiple impacts are identified. Application of the results to the design of impact tools is discussed.

Place, publisher, year, edition, pages
1993. Vol. 165, no 2, p. 305-327
National Category
Applied Mechanics
Research subject
Solid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-15750DOI: 10.1006/jsvi.1993.1259ISI: A1993LV60300007Scopus ID: 2-s2.0-0027912129Local ID: f4c27f60-04b2-11dd-b034-000ea68e967bOAI: oai:DiVA.org:ltu-15750DiVA, id: diva2:988725
Note
Godkänd; 1993; 20080407 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Aidanpää, Jan-Olov

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