Cable Force Calculation Using Vibration Frequency Methods Based on Cable Geometric Parameters

Abstract

The accuracy of various cable force calculation formulas is analyzed based on the vibration frequency method and difference method. The influence of cable length and diameter on cable force calculation accuracy is studied. The calculation method based on cable geometric parameters is proposed to avoid iterative calculations while still considering the impact of sag and bending rigidity. The study shows that sag and bending rigidity of the cable affect calculation accuracy: the greater the cable force, the smaller the calculation error, especially for actual cable forces greater than 5,000 kN. When considering the influence of sag, peak values, which occur if the cable length and diameter are small, arise as errors in the cable force calculated by current cable force calculation methods. When considering the influence of bending stiffness, errors in the calculated cable force are prominent: the greater the diameter, the more the error; the longer the cable, the lower the error. Whether the actual cable force is greater than 5,000 kN or not, it can be determined by string theory. The cable force calculation method based on cable length and diameter is proposed with errors of within 10%.