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Rattling in the inevitable clearances between engaging teeth of mechanical power transmission components, such as gears, gear couplings and clutches, etc., is becoming a more and more important issue, especially for automotive applications. An extensive research effort in this area is mostly dedicated to modeling of complex nonlinear processes that develop after the tooth separation occurs, or to experimental studies of these processes. The available abatement techniques for the rattling noise are expensive while not providing desirable noise reduction results. The paper presents a criterial condition for opening of clearances derived for a simplified model and clearly showing importance of various design parameters on possibility of commencement of the rattling process. Also, a novel rattling noise abatement technique is described, based on incorporating simple means for prolongation of the impact interactions between the co-impacting engaging teeth.