Load sharing behavior in epicyclic gears: Physical explanation and generalized formulation
Load sharing behavior in epicyclic gears: Physical explanation and generalized formulation
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DOI：
10.1016/j.mechmachtheory.2009.10.009
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发表时间：
2010-03-01
影响因子：
5.2
通讯作者：
Singh, Avinash
中科院分区：
文献类型：
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作者：
Singh, Avinash
在n行星周转齿轮组中，在理想条件下，每条路径将承载等量的扭矩，因此可以设计成仅传递输入扭矩的1/n。然而，早期的工作已经表明，由于制造误差的存在，在实际应用中没有实现平行路径之间的输入扭矩的这种相等共享。虽然已经通过计算模型和实验示出了负载共享行为的各个方面，但是仍然缺乏对负载共享行为的真实性质的物理理解。本文将从物理上解释引起不均匀载荷分配现象的基本机理。将处理浮动（有间隙的系统）和非浮动系统。在物理解释的基础上，将推导出封闭形式的无量纲方程，该方程预测了存在位置误差时行星与行星的载荷分配行为。具有3-6个行星的周转系统将被具体地处理，并且具有任意数量的行星的系统的一般化方程将被呈现。开发的表达式将通过比较他们的预测与以前公布的预测从计算模型和实验数据进行验证。(C)2009爱思唯尔有限公司保留所有权利。
In an n planet epicyclic gear set, under ideal conditions, each path will carry an equal amount of torque and therefore can be designed to transmit only 1/n of the input torque. However, earlier works have shown that such equal sharing of the input torque between the parallel paths is not realized in practical applications, due to the presence of manufacturing errors. While various aspects of the load sharing behaviors have been shown both through computational models and experiments, a physical understanding of the true nature of the load sharing behavior is still lacking. In this paper, a physical explanation will be provided for the basic mechanism causing the unequal load sharing phenomenon. Both floating (system with clearances) and non-floating systems will be treated. On the basis of the physical explanation, closed form non-dimensional equations that predict the planet to planet load sharing behavior in the presence of positional errors will be derived. Epicyclic systems having 3-6 planets will be specifically treated and generalized equations for systems having an arbitrary number of planets will be presented. The developed expressions will be validated by comparing their predictions with previously published predictions from a computational model and experimental data. (C) 2009 Elsevier Ltd. All rights reserved.