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Titolo:
DYNAMICS OF OSCILLATORS WITH IMPACT AND FRICTION
Autore:
HINRICHS N; OESTREICH M; POPP K;
Indirizzi:
UNIV HANNOVER,INST MECH,APPELSTR 11 D-30167 HANNOVER GERMANY
Titolo Testata:
Chaos, solitons and fractals
fascicolo: 4, volume: 8, anno: 1997,
pagine: 535 - 558
SICI:
0960-0779(1997)8:4<535:DOOWIA>2.0.ZU;2-P
Fonte:
ISI
Lingua:
ENG
Soggetto:
LINEAR-OSCILLATOR; SYSTEMS; ATTRACTORS; BEHAVIOR; DRY;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
CompuMath Citation Index
Science Citation Index Expanded
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
38
Recensione:
Indirizzi per estratti:
Citazione:
N. Hinrichs et al., "DYNAMICS OF OSCILLATORS WITH IMPACT AND FRICTION", Chaos, solitons and fractals, 8(4), 1997, pp. 535-558

Abstract

In the present paper two types of nonsmooth oscillators are investigated: an impact oscillator and a self-sustained friction oscillator. Both are nonsmooth one degree of freedom oscillators with harmonic external excitation. Here the different types of motion, bifurcation diagrams and Poincare maps are determined from experiments. These results will be compared with numerical results on the basis of the identified impact and friction models. The nonsmooth third-order systems show richbifurcational behaviour which is analysed by numerical simulations but also using mapping approaches. Two different formalisms for the calculation of the Lyapunov exponents are applied. The latter one requiresspecial considerations in the given case of nonsmooth systems. Furthermore, the embedding dimension is gained applying the method of false nearest neighbours. In the case of coexisting solutions further analysis is done by means of bifurcation and stability analysis and the cell-mapping approach. (C) 1997 Elsevier Science Ltd.

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Documento generato il 29/11/20 alle ore 06:37:57