Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem
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Data
2002-05
Autores
Souza, S. L. T. De
Caldas, I. L.
Balthazar, J. M. [UNESP]
Brasil, R. M. L. R. F.
Título da Revista
ISSN da Revista
Título de Volume
Editor
The Brazilian Society of Mechanical Sciences
Resumo
This paper presents a study on the dynamics of the rattling problem in gearboxes under non-ideal excitation. The subject has being analyzed by a number of authors such as Karagiannis and Pfeiffer (1991), for the ideal excitation case. An interesting model of the same problem by Moon (1992) has been recently used by Souza and Caldas (1999) to detect chaotic behavior. We consider two spur gears with different diameters and gaps between the teeth. Suppose the motion of one gear to be given while the motion of the other is governed by its dynamics. In the ideal case, the driving wheel is supposed to undergo a sinusoidal motion with given constant amplitude and frequency. In this paper, we consider the motion to be a function of the system response and a limited energy source is adopted. Thus an extra degree of freedom is introduced in the problem. The equations of motion are obtained via a Lagrangian approach with some assumed characteristic torque curves. Next, extensive numerical integration is used to detect some interesting geometrical aspects of regular and irregular motions of the system response.
Descrição
Palavras-chave
Gear rattling, non-linear dynamics, non-ideal systems
Como citar
Journal of the Brazilian Society of Mechanical Sciences. Rio de Janeiro, RJ, Brazil: The Brazilian Society of Mechanical Sciences, v. 24, n. 2, p. 111-114, 2002.