Numerical studies of nonlinear gearing models using bond graph method

0Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

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.

Cite

CITATION STYLE

APA

Margielewicz, J., Wojnarowski, J., & Zawislak, S. (2018). Numerical studies of nonlinear gearing models using bond graph method. International Journal of Applied Mechanics and Engineering, 23(4), 885–896. https://doi.org/10.2478/ijame-2018-0049

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free