@misc{Margielewicz_Jerzy_Numerical, author={Margielewicz, Jerzy and Wojnarowski, Józef and Zawiślak, Stanisław}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={The present paper is dedicated to computer simulations performed using a numerical model of a one-stage gear. The motion equations were derived utilizing the bond graph method. The formulated model takes into consideration the variable stiffness of toothings as well as an inter-tooth clearance which has been represented via discontinuous elements with so called dead zones. As a result of these assumptions, the nonlinear model was obtained which enables representation of the dynamic phenomena of the considered gear.}, abstract={In the paper, an influence of errors of gear wheels? co-operation on the character of excited dynamic phenomena was studied. The methodology of the analyses consists in utilization of the following tools: color maps of distribution of the maximal Lapunov coefficient and bifurcation diagrams. Based upon them, the parameters were determined, for which the Poincare portrait represents a structure of the chaotic attractor. For the identified attractors, the initial attractors were calculated numerically - which along with the changes of the control parameters are subjected to multiplication, stretching or rotation.}, type={artykuł}, title={Numerical studies of nonlinear gearing models using bond graph method}, keywords={chaos, nonlinear vibrations, Lapunov exponent, bifurcations}, }