Comparison of Two Axisymmetric Finite Element Models of Threaded Connections

M. Hommel
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Abstract

Predicting the fatigue life of threaded connections using finite element analysis generally requires a 2-D axisymmetric model capable of handling non-axisymmetric loading in order to simulate an applied bending moment. This is desirable from the standpoint of computer run time, as compared with the alternative approach, namely, developing a full 3-D model. Unfortunately, due to their esoteric nature, the 2-D axisymmetric elements with non-axisymmetric loading capability are not supported by the software vendors as well as the other elements, hence pre- and post-processing are more challenging. In addition, due to the Fourier representation of the non-axisymmetric load, computer run time and storage is increased significantly over that of a strictly 2-D axisymmetric model. In view of this, common practice has been to use instead the conventional axisymmetric model with an equivalent applied axial tensile stress equal to the mean bending stress through the wall thickness in order to simulate the bending moment and thereby avoid the necessity for non-axisymmetric loading. The question therefore arises as to how well the results from the strictly axisymmetric model agree with the results from the axisymmetric model with non-axisymmetric loading capability. The purpose of this paper is to compare the results of the two models. A 5-1/2 F.H. threaded connection is modeled by means of a commercial finite element code. First, the axisymmetric model with non-axisymmetric loading capability is treated and results are obtained. Second, the axisymmetric model with applied equivalent tensile load is examined and its results are compared with the former model. It is found that the value of the primary variable of interest for quantification of fatigue life, namely, alternating stress, agrees between the two models within 4%. Thus, it is concluded that the simplified model provides a viable alternative for modeling fatigue life of threaded connections.
两种轴对称螺纹连接有限元模型的比较
利用有限元分析预测螺纹连接的疲劳寿命通常需要一个能够处理非轴对称载荷的二维轴对称模型,以模拟实际的弯矩。与另一种方法(即开发完整的3-D模型)相比,从计算机运行时间的角度来看,这是可取的。不幸的是,由于其深奥的性质,具有非轴对称加载能力的二维轴对称单元不像其他单元那样得到软件供应商的支持,因此预处理和后处理更具挑战性。此外,由于非轴对称荷载的傅里叶表示,计算机的运行时间和存储比严格的二维轴对称模型显著增加。鉴于此,通常的做法是使用传统的轴对称模型,其等效轴向拉应力等于通过壁厚的平均弯曲应力,以模拟弯矩,从而避免了非轴对称加载的必要性。因此,问题就产生了,严格轴对称模型的结果与具有非轴对称载荷能力的轴对称模型的结果在多大程度上一致。本文的目的是比较两种模型的结果。5-1/2 F.H.螺纹连接采用商业有限元规范建模。首先对具有非轴对称载荷能力的轴对称模型进行了处理,得到了结果。其次,对施加等效拉伸载荷的轴对称模型进行了检验,并与轴对称模型的结果进行了比较。结果表明,两种模型中用于疲劳寿命量化的主要变量交变应力的取值在4%以内一致。因此,该简化模型为螺纹连接疲劳寿命建模提供了一种可行的替代方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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