電路螺栓組合件主要是由螺栓與螺帽作為結件，栓緊電路端子與軌道以產生電路接點應用在軌道工程中。本文將著重在旋緊扭矩導致之螺栓預加拉力對組合件產生的應力分析。使用ABAQUS 軟體建立兩種電路螺栓組合安裝在兩種軌道位置之有限元素模型，所施加螺栓預加拉力依據扭矩與軸向力公式計算。兩種組合件中的螺栓軸向應力和螺栓接頭接觸壓力分布，以及各夾緊件接觸壓力分布情形可由模擬得到。由數值結果得知，在相同螺栓預加拉力作用下，接觸壓力的對稱性與均勻性受安裝位置以及夾緊零件之間接觸表面平整性等因素影響很大，進而影響變形行為。藉由分析結果可供判斷何種電路螺栓組合件與安裝方式為佳。

The assembly of track circuit fastener uses a bolted joint clamping the circuit lug onto the track to form a circuit connection in railway engineering. This research focuses on the stress analysis of the assembly caused by the bolt preload attributed to the tightening torque. The finite element models were built in the software ABAQUS for two types of the circuit fastener assembly attached to two different positions of the track web. The preload applied to the circuit bolt was calculated based on the relation between the preload and the tightening torque. By simulation, we obtained the axial stress distribution of the bolt, the contact pressure distribution of the bolted joints and each clamping part in two assemblies. The numerical results show that under the same bolt preload, the symmetry and uniformity of the contact pressure are affected greatly by the attached position and the flatness of the contacting surfaces between clamping parts. The results can be used to determine which of the assemblies and attached positions performs better.

[1] CNS 4218，結件一般名詞定義，1978。
[2] 國家教育研究院雙語詞彙、學術名詞暨辭書資訊網，國家教育研究院，2012。
[3] CNS 4219，螺紋一般名詞，1978。
[4] CNS 4220，結件名詞定義（螺紋種類），1978。
[5] CNS 4530，結件頭部詞彙，1996。
[6] CNS 4534，結件詞彙（螺栓），1997。
[7] CNS 4535，結件詞彙（螺帽），1997。
[8] CNS 4536，結件詞彙（墊圈），1997。
[9] 柯雲龍，潘建安，機件原理（上），台科大圖書，2020。
[10] Tilaverids, I., Detection of friction variations in bolted joints during tightening, KTH Royal Institute of Technology, 2017.
[11] Shoberg, R. S., Engineering Fundamentals of Threaded Fastener Design and Analysis, RS Technologies, a Division of PCB Load & Torque, Inc., 2010.
[12] Nykänen, R., Simulation of Bolted Joint with Friction Contacts, Luleå University of Technology, 2019.
[13] Bickford, J. H., Introduction to the Design and Behavior of Bolted Joints, 4th Edition, CRC Press, 2007.
[14] Kellermann, R., Klein, H-C., Investigations on the influence of friction on the clamp force and the tightening torque of bolted joints, Konstruktion, 2, 1955.
[15] ISO 16047, Fasteners - Torque/clamp force testing, 2005.
[16] Mortensen, J., Friction Analysis of Bolts, Aalborg University, 2013.
[17] ISO 68-1, General purpose metric screw threads, 1998.
[18] ISO 262, General purpose metric screw threads－Selected sizes for screws, bolts and nuts, 1998.
[19] Croccolo, D., Vincenzi, N., Tightening Tests and Friction Coefficients Definition in the Steering Shaft of Front Motorbike Suspension, Strain, 47, 337-342, 2011.
[20] CNS 4234-1，不銹鋼結件之機械性質－第1 部：螺栓、螺釘及螺樁，2012。
[21]Kalpakjian, S., Schmid, S. R., Manufacturing Engineering and Technology, 8th Edtion, Pearson, 2020.