Abstract

FERNANDEZ CONCELLON, Pedro J  and  BASELGA ARINO, Santiago. Analysis of power losses on spur gears using the design of experiments theory. Rev.fac.ing.univ. Antioquia [online]. 2014, n.72, pp.203-216. ISSN 0120-6230.

A review of 4 mathematical models proposed by different researchers has been carried out to analyse power losses in spur gears due to the sliding, rolling and wending phenomena. The main aim of this review is to detect the most significant factors that influence power losses in such conditions, whether or not exists some relationship between the analysed models and whether or not is feasible make assumptions for all kind of spur gears transmissions on the basis of the obtained conclusions. This analysis has been carried out using the Design of Experiments Theory, in particular using a 2^k (k=4) factorial design with the purpose of detecting the most significant factors for each model. This experimental method only has allowed detecting the influence that each ''k'' factor has on the gears efficiency, in order to carry out a comparison between the 4 models. Once done that, it has been concluded firstly that each one of the analysed models is conditioned by the conditions around the experimentation and secondly that the analysed models are not applicable to any generic working situation, although it does not mean that for a specific group of determined conditions can be developed a generic model.

Keywords : Mathematical model; efficiency; power losses; mechanical transmissions; spur gears; Design of Experiments Theory.

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