Creator:
Margielewicz, Jerzy ; Wojnarowski, Józef ; Zawiślak, Stanisław
Contributor:
Title:
Numerical studies of nonlinear gearing models using bond graph method
Group publication title:
Subject and Keywords:
chaos ; nonlinear vibrations ; Lapunov exponent ; bifurcations
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. ; 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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Date:
Resource Type:
Format:
DOI:
Pages:
Source:
IJAME, volume 23, number 4 (2018)