张永平, 徐荣桥. 考虑拉力修正抗弯刚度的缆索频率计算[J]. 工程力学, 2019, 36(S1): 8-11. DOI: 10.6052/j.issn.1000-4750.2018.01.S001
引用本文: 张永平, 徐荣桥. 考虑拉力修正抗弯刚度的缆索频率计算[J]. 工程力学, 2019, 36(S1): 8-11. DOI: 10.6052/j.issn.1000-4750.2018.01.S001
ZHANG Yong-ping, XU Rong-qiao. FREQUENCY CALCULATION OF CABLES CONSIDERING BENDIING STIFFNESS MODIFIED BY CABLE TENSILE FORCES[J]. Engineering Mechanics, 2019, 36(S1): 8-11. DOI: 10.6052/j.issn.1000-4750.2018.01.S001
Citation: ZHANG Yong-ping, XU Rong-qiao. FREQUENCY CALCULATION OF CABLES CONSIDERING BENDIING STIFFNESS MODIFIED BY CABLE TENSILE FORCES[J]. Engineering Mechanics, 2019, 36(S1): 8-11. DOI: 10.6052/j.issn.1000-4750.2018.01.S001

考虑拉力修正抗弯刚度的缆索频率计算

FREQUENCY CALCULATION OF CABLES CONSIDERING BENDIING STIFFNESS MODIFIED BY CABLE TENSILE FORCES

  • 摘要: 拉索的抗弯刚度在其频率特性计算中具有重要影响。目前相关研究都认为缆索抗弯刚度在不同条件下都是定值,但最近的试验与理论研究发现,缆索抗弯刚度是一个与缆索拉力相关的参数。因此,频率计算中的抗弯刚度取值,也应根据缆索拉力进行修正。该文提出了考虑拉力影响的修正抗弯刚度的非线性模型,进而推导频率计算公式,算例结果表明要获得更精确的频率结果必须采用拉力修正的抗弯刚度,特别是对于短索。

     

    Abstract: The natural frequency of cables is largely influenced by their bending stiffness. The present researches on this topic all consider the bending stiffness as a constant parameter under any circumstances. However, recent experimental and theoretical studies have shown that cable bending stiffness is related to its tensile forces. Thus, cable bending stiffness should be modified by its tensile forces when utilized to calculate the natural frequencies. A nonlinear model for the determination of bending stiffness is thusly proposed. The analytical expression for the calculating of cable natural frequency is derived. The numerical analysis demonstrates that the modified bending stiffness is significant for obtaining a more precise frequency of cables, especially for relative short cables.

     

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