The paper proposes an analytical procedure for the generalization of the rattle index in any type of ordinary transmission layouts, single or multiple branch, both in idle and loaded conditions. Its definition is obtained by a recursive analytical formulation of the rotational dynamics of gears. Numerical analytical studies are exploited to examine the effectiveness and reliability of the introduced index. Several geartrain layouts are investigated and results show its capability to instantaneously describe the vibro-impact events related to any gear pair of the driveline. Moreover, the general definition is shown to be a proper indicator of the potential presence of mutual interactions between different gear pairs pertaining to the same driveline. The analysis of the results reveals an excellent agreement with the expected behavior of the outlined parameter.

本文提出了一种分析程序，用于在怠速和负载条件下，对任何类型的普通变速箱布局（单个或多个分支）中的拨浪鼓指标进行泛化。其定义是通过对齿轮旋转动力学进行递归分析得出的。利用数值分析研究来检验所引入指标的有效性和可靠性。研究了几种齿轮系的布局，结果表明其能够即时描述与传动系任何齿轮对相关的振动影响事件。而且，一般定义被显示为属于同一传动系的不同齿轮对之间潜在相互作用的适当指示。