A novel analytical model is proposed to evaluate the influence of adjacent wire friction on the mechanical properties of semi-parallel stay cables. This model considers the bending and torsional stiffness of semi-parallel wires and the friction between adjacent contact wires. The finite difference method and nonlinear least squares method are used to solve the angle between the principal torsion-flexure axes and Frenet–Serret axes of the wires numerically, and each wire is solved sequentially according to the equation of the force transmission. The helical radius and angle of all wires after deformation are derived according to the angle, and the problem is iteratively solved until convergence of all wires. The effectiveness of the proposed model is verified via the refined finite element model of a 19-wire stay cable. The proposed method accurately evaluated the mechanical properties of adjacent wire friction on stay cable by analyzing the influence of angle on the semi-parallel wires, which is more conducive to understanding the fretting wear and fatigue behavior of wires and quantifying their damage.

中文翻译：

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轴向拉力作用下桥梁半平行斜拉索力学性能的摩擦效应


提出了一种新的分析模型来评估相邻钢丝摩擦力对半平行斜拉索力学性能的影响。该模型考虑了半平行线的弯曲和扭转刚度以及相邻接触线之间的摩擦力。采用有限差分法和非线性最小二乘法对导线的主扭转-弯曲轴与Frenet-Serret轴之间的夹角进行数值求解，并根据力传递方程依次求解每根导线。根据角度导出变形后所有线材的螺旋半径和角度，迭代求解问题直至所有线材收敛。通过 19 线斜拉索的细化有限元模型验证了所提模型的有效性。该方法通过分析角度对半平行钢丝的影响，准确评估斜拉索上相邻钢丝摩擦的力学性能，更有利于了解钢丝的微动磨损和疲劳行为并量化其损伤。