Vol.3, No 14, 2003 pp. 921-930
UDC 534.141+531+530.1
Invited Paper
REGULAR AND CHAOTIC BEHAVIOR EXHIBITED
BY COUPLED OSCILLATORS WITH FRICTION
J. Awrejcewicz1, L. Dzyubak2
1 Technical University of Lodz, Department of Automatics
and Biomechanics,
1/15 Stefanowskiego St., 90-924 Lodz, Poland, e-mail: awrejcew@p.lodz.pl
2 Kharkov Polytechnic University, Department of Applied
Mathematics,
21 Frunze St., 61002 Kharkov, Ukraine, e-mail: ldzyubak@kpi.kharkov.ua
Abstract. Using a new approach, the nonlinear behavior of an autonomous
2-DOF mechanical system with friction is investigated. The domains of a
chaotic motion are obtained in various sections of a three-dimensional
driving parameter space. Chaotic and regular motions are detected and classified
as stick-slip or slip-slip ones.
REGULARNO I HAOTIČNO PONAŠANJE IIZVEDENO
POMOĆU SPREGUNTIH OSCILATORA SA TRENJEM
Koristeći novi pristup nelinearno ponašanje autonomnog mehaničkog sistema
sa dva stepena slobode kretanja i sa trenjem je istraživano. Dobijena je
oblast haotičnog ponašanja u različitim oblastima trodimenzionalnog parametarskog
prostora. Haotično i regularno kretanje je detektovano i klasikovano kao
stick-slip (lepljivo-sklizavog) ili slip-slip (sklizavo-sklizavog) karaktera.
