Vol.1, No 7, 2000 pp. 765 - 768
UDC 517.93:519.876.5

SIMULATION MODELING OF AN ESSENTIALLY
NON-LINEAR DYNAMIC SYSTEM
Detelin Vasilev1, Zdravka Tcherneva-Popova2
1Higher School of Transport Engineering, Department of Mechanics
158, Geo Milev Str. 1574 Sofia, Bulgaria
2Technical University of Sofia, Department of Mechanics, Sofia, Bulgaria

Abstract. The forced vibrations of an essentially non-linear dynamic system are examined. The physical nature of the essential non-linearity is due to the existence of dry friction forces with a changing magnitude. A comparative research of the forced vibrations of the two-mass essentially non-linear system by the presence of dry friction of "harmonics" type is done. A frequency analysis of the vibrations is given. A simulation model of a system of differential equations with different parameters is completed from a view of building up an effective vibroprotection system. A broad spectrum of a disturbing frequency is searched so that the system completes its function as a protector against vibrations. Conclusions of the decisions characterizing the influence of the model parameters on the movement of the mechanical system are drawn.

SIMULACIONI MODEL ESENCIJALNOG NELINEARNOG DINAMIČKOG SISTEMA
Ispitivane su prinudne vibracije jednog izraženo nelinearnog dinamičkog sistema. Fizička suština izražene nelinearnosti je u postojanju sila suvog trenja promenljive jačine. Urađeno je uporedno istraživanje prinudnih vibracija za jedan izraženo nelinearni sistem sa dve mase uz postojanje "harmoničnog" trenja. Uz pomoć matematičkog modela simulirano je ponašanje sistema obzirom na mogućnost izrade jednog efikasnijeg sistema zaštite od vibracija.