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为了提高索力动力检测精度,考虑索的垂度、抗弯刚度和边界弹性约束等因素建立数学物理模型,给出索频率方程的无量纲形式,研究各因素对索力动力检测的影响。结果表明:索的垂度只影响奇数阶频率,采用偶数阶频率进行索力检测可以忽略索垂度的影响;对较短或索力较小的索,索的抗弯刚度和边界条件对索力动力检测的影响不可忽略,索的抗弯刚度越大,边界条件的影响越大。以索力动力检测理论为基础,假设不同边界条件下的索力识别公式具有相同形式,导出了考虑索的抗弯刚度和边界条件对索力动力检测影响的实用计算公式。通过试验验证了实用计算公式的精确性和实用性。
In order to improve the testing accuracy of cable force, the mathematic model is established considering the sag, bending stiffness and elastic boundary constraint. The dimensionless form of the cable frequency equation is given and the influence of various factors on the cable force detection is studied. The results show that the sag of the cable affects only the odd-order frequencies. The use of even-order frequencies for cable force detection can neglect the influence of cable sag. For cables with shorter or smaller cable forces, the flexural stiffness of the cable and the boundary conditions of cable The influence of force detection can not be neglected. The greater the bending stiffness of cable, the greater the influence of boundary conditions. Based on the theory of cable force detection, the formula of cable force identification under different boundary conditions is assumed to have the same form, and a practical formula for calculating the influence of cable bending force and boundary conditions on cable force detection is derived. The accuracy and practicability of practical calculation formula are verified through experiments.