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Shaft-hub press fit subjected to bending couples: Analytical evaluation of the shaft-hub detachment couple

机译:轴-轮毂压配合承受弯曲对:轴-轮毂分离对的分析评估

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摘要

A mathematical modelling of a shaft-hub press-fit subjected to bending couples applied to the shaft extremities is developed, and the value of the bending couple inducing an undesired shaft-hub incipient detachment is analytically determined. The shaft-hub contact is modelled in terms of two elastic Timoshenko beams connected by a distributed elastic spring, whose stiffness is analytically evaluated. Two models of the distributed spring are considered. The first model expresses the combined deformability of both the shaft and the hub cross sections. The second model accounts for the stiffening effect exerted by the shaft portion protruding from the hub on the adjacent shaft part that is in contact with the hub, and, consequently, it assumes only a rigid body motion of the shaft cross section, thus neglecting its deformability. Based upon this beam-like model, the bending couple producing the incipient detachment between the shaft and the hub is theoretically determined in term of the shaft-hub geometry, of the initial shaft-hub interference, and of the elastic constants. Comparisons with selected Finite Element (FE) forecasts indicate that the first modelling produces an incipient detachment couple that appreciably overrates the FE forecasts, whereas the second modelling lowers the error down to technically acceptable predictions.
机译:建立了轴-轮毂压配合的数学模型,该模型经受了施加于轴端的弯曲偶,并通过解析确定了导致不希望的轴-轮毂初期脱离的弯曲偶的值。轴与轮毂的接触是通过分布的弹性弹簧连接的两个弹性Timoshenko梁进行建模的,其刚度通过分析进行评估。考虑了分布式弹簧的两种模型。第一个模型表示轴和轮毂横截面的组合变形能力。第二种模型考虑了由从轮毂伸出的轴部分在与轮毂接触的相邻轴部分上施加的加强效果,因此,它仅假定了轴截面的刚体运动,因此忽略了其横截面变形能力。基于该梁状模型,理论上根据轴-轮毂几何形状,初始轴-轮毂干涉以及弹性常数来确定在轴和轮毂之间产生早期脱离的弯曲偶。与选定有限元(FE)预测的比较表明,第一个模型产生了一个初期分离对,从而明显高估了FE预测,而第二个模型则将误差降低到了技术上可接受的预测。

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