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. ; 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.
Zielona Góra: Uniwersytet Zielonogórski
IJAME, volume 23, number 4 (2018)
Biblioteka Uniwersytetu Zielonogórskiego
2023-07-06
2023-04-04
67
https://zbc.uz.zgora.pl/publication/80187
Nazwa wydania | Data |
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Numerical studies of nonlinear gearing models using bond graph method | 2023-07-06 |
Wojnarowski, Józef Jurczak, Paweł - red.
Wojnarowski, Józef Jurczak, Paweł - red.
Drewniak, Józef Kopeć, Jerzy Zawiślak, Stanisław Jurczak, Paweł - red.
Ali Khan, Mohammad Jurczak, Paweł - red.
Bashkirtseva, Irina Ryashko, Lev Korbicz, Józef - red. Uciński, Dariusz - red.
Das, Alaka Kumar, Krishna Jurczak, Paweł - red.
Mitkowski, Paweł J. Mitkowski, Wojciech Korbicz, Józef - red. Uciński, Dariusz - red.