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Periodic and chaotic behaviour of a threshold-limited two-degree-of-freedom system
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Material- och solidmekanik.ORCID-id: 0000-0001-6016-6342
1993 (engelsk)Inngår i: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 165, nr 2, s. 305-327Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
1993. Vol. 165, nr 2, s. 305-327
HSV kategori
Forskningsprogram
Hållfasthetslära
Identifikatorer
URN: urn:nbn:se:ltu:diva-15750DOI: 10.1006/jsvi.1993.1259ISI: A1993LV60300007Scopus ID: 2-s2.0-0027912129Lokal ID: f4c27f60-04b2-11dd-b034-000ea68e967bOAI: oai:DiVA.org:ltu-15750DiVA, id: diva2:988725
Merknad
Godkänd; 1993; 20080407 (ysko)Tilgjengelig fra: 2016-09-29 Laget: 2016-09-29 Sist oppdatert: 2018-07-10bibliografisk kontrollert

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