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中南大学学报(自然科学版)

Journal of Central South University

第51卷    第8期    总第312期    2020年8月

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文章编号:1672-7207(2020)08-2209-12
单股钢丝绳丝间多层耦合接触性能研究
陈原培,向剑

(重庆交通大学 交通运输学院,重庆,400074)

摘 要: 针对单股钢丝绳在服役过程中因丝间接触引起的失效问题,基于弹性接触理论和曲杆理论,研究轴向扭转载荷作用下单股钢丝绳丝间多层耦合接触性能。首先,综合考虑泊松比效应和接触变形等因素,建立具有多层结构的单股钢丝绳轴向力学性能与丝间接触性能的数学模型。其次,采用基于半解析法(SAM)的数值方案进行耦合求解。半解析法求解过程中,采用共轭梯度法(CGM)和快速傅里叶变换(FFT)求解多层结构单股钢丝绳丝间接触压力、接触变形及钢丝内部应力,揭示单股钢丝绳芯丝与内层螺旋钢丝间、内外层螺旋钢丝间的接触性能参数随扭转载荷变化的演变规律,以及钢丝绳结构参数对单股钢丝绳丝间接触行为的影响机制。最后,通过与COSTELLO理论计算结果对比,验证单股钢丝绳多层接触耦合模型的有效性。研究结果表明:轴向扭转载荷作用下,单股钢丝绳芯丝与内层螺旋钢丝间、内外层螺旋钢丝间的最大接触压力和变形均位于接触中心,且随扭转加载进程而呈非线性变化;在大扭转载荷下,内层螺旋钢丝与外层螺旋钢丝间的接触区易先发生应力屈服;相比于内层螺旋钢丝捻角,外层螺旋钢丝捻角对单股钢丝绳内部各层丝间的接触作用影响更加显著;扭转载荷引起的最大钢丝应力位于接触界面下,该应力区的应力及深度随螺旋钢丝捻角增大而增大。

 

关键词: 单股钢丝绳;多层耦合;接触性能;轴向力学性能;捻角;半解析法

Study on multi-layer coupling contact performance of single-strand wire rope
CHEN Yuanpei, XIANG Jian

College of Traffic & Transportation, Chongqing Jiaotong University, Chongqing 400074, China

Abstract:Aiming at failure problems of single-strand wire rope caused by inter-wire contact in practical applications, the multi-layer coupling contact performance of a single-strand wire rope subjected to an axial torsional load was studied based on the elastic contact theory and thin rod theory. Firstly, considering the Poisson''''s ratio effect and the contact deformation, a coupled mathematical model for the axial mechanical property and contact performance between the wires of the rope was established. Then, a numerical scheme based on the semi-analytical method(SAM) was used to solve the coupling problem. During the solution process, the conjugate gradient method(CGM) and fast Fourier transform(FFT) were used to calculate the contact deformation, contact pressure and inside stress of the wires caused by the inter-wire contact. The evolution rules of the contact performance parameters between the different layers of the single-strand wire rope subjected to an axial torsional load were revealed. Additionally, the effect of the structure parameters on the contact behavior of the rope was discussed. Finally, the validity of the model was verified by comparison with the COSTELLO theory. The results show that the maximum contact pressure and deformation between the different layers of the single-strand wire rope occur at the contact centers under a torsional loading condition, and the relationship changes nonlinearly with the process of torsional loading. Stress yielding is most likely to happen at the contact area between the middle layer and the outer layer under a large torsional load. Compared with the middle layer spiral wire’s lay angle, the lay angle of the outer spiral steel wire has a more significant effect on the contact between different layers of the rope. The maximum stress of steel wire caused by the torsional load locates below the contact interface, and the stress and the depth of the stress area increase with increasing lay angles of the spiral steel wires.

 

Key words: single-strand wire rope; multi-layer coupling; contact performance; axial mechanical properties; lay angle; semi-analytical method

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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