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基于Love曲杆理论建立钢丝静力拉伸模型,由外荷载作用下单根钢丝平衡方程推导出钢丝轴力、弯矩、扭矩计算公式以及钢绞线截面弹性模量、抗弯刚度计算公式.利用Fortran编写程序,考察轴力变化时,钢丝螺旋角及钢绞线弹性模量、抗弯刚度等截面特性的变化规律.进一步研究了钢绞线弹性模量变化对结构受力性能影响及抗弯刚度变化对基频法计算拉索内力的影响.结果表明:随着钢绞线总轴力增加,钢丝螺旋角逐渐减小,钢绞线弹性模量和抗弯刚度逐渐增加;在外层钢丝螺旋角为0°即外层钢丝被拉直后,钢丝螺旋角和钢绞线弹性模量均不再变化;随着钢绞线总轴力进一步增加,钢丝半径和钢绞线抗弯刚度由于泊松效应影响略有减小.
The static tensile model of steel wire was established based on the theory of Love curved rod. The formulas of axial force, bending moment and torsion of steel wire, elastic modulus and flexural rigidity of steel strand were deduced from the balance equation of single steel wire under external load. The program of Fortran was used to investigate the variation of the helical angle, the elastic modulus of the steel strand and the flexural rigidity when the axial force changes, and the influence of the change of the elastic modulus of the strand on the mechanical properties and the resistance The results show that the helical angle decreases with the increase of the total axial force of the strand, and the elastic modulus and flexural rigidity of the strand increase gradually. When the helix angle is 0 °, the outer wire is straightened, the helix angle of the wire and the elastic modulus of the strand no longer change. With the further increase of the total axial force of the strand, the radius of the wire and the flexural rigidity of the strand are Poisson effect slightly reduced.