基于振动理论的灌浆拉索索力计算方法

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中图分类号：U44；0312 文献标志码：A 文章编号：1000-4939（2025）03-0653-12

Abstract：The calculation of cable force of grouted cable needs to consider the added mass of grouting and its influence on cable vibration，but there is still no effctive calculation method at present.On the basis of cable force test of grouted prestressed cable，the theoretical calculation method of cable force was studied. First，the grouted prestressed cable was simplifiedas the axial tensional beam with uniformly distributed mass and two hinged ends，and the vibration diffrential equation ofcable was established according to elastic distributed massand two different vibration directions of cable.Then the computation expression for the mortar's vibration frequency was fitted by the parameters of cable length，grouting rate，linear density of the added mass，slenderness ratio，and the sectional flexural stiffness of mortar after regression analysis of the test data.The linear relationship between the calculated frequency and the measured one was also obtained.Finally，force calculation process of the cable force for the grouted cable was presented.Results show that the largest error between calculation and test cables is 5.4% ，indicating that the method can be used in cable force calculation of grouted prestressed cable.

Key words：grouted cable；added elastic mass； grouting rate；axial tensile beam；cable force

拉索材料的抗拉强度很高，是作为结构或者构件中高效承受拉力的理想材料，被广泛地应用在桥梁、大跨度等受力较复杂的重要结构中，因而拉索的防护也应引起重视并妥善解决。（剩余13761字）