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将多塔悬索桥的中塔当作底部固定、顶部受到主缆弹性约束的结构,在Rayleigh能量法和Southwell’s频率合成法的基础上,推导了受到主缆约束的桥塔结构振动基频近似计算表达式。以成桥后的泰州大桥中塔为例,测试了其环境激励下的自振基频,并对环境激励下桥塔的自振基频与其理论计算结果进行了对比分析。结果表明:该基频表达式不仅可在设计阶段预估桥塔的振动特性,还可在桥梁运营期通过频率测试来识别塔顶的顺桥向抗推刚度。且计算基频与实测值的误差为4.46%～5.48%,在可接受范围。该算法不仅适用于各种复杂截面多塔悬索桥中塔,也适用于挂线的输电塔等工程结构。
Based on Rayleigh energy method and Southwell’s frequency synthesis method, the middle tower of multi-tower suspension bridge is regarded as the bottom fixed and the top is restrained by the main cable. Based on Rayleigh energy method and Southwell’s frequency synthesis method, formula. Taking the central tower of Taizhou Bridge after its completion as an example, the fundamental frequency of self-excitation under its environmental excitation was tested. The fundamental frequency of the self-resonance of the tower under ambient excitation was compared with the theoretical calculation results. The results show that the fundamental frequency expression can not only predict the vibration characteristics of the pylon at the design stage, but also identify the forward and backward thrust stiffness of the tower through the frequency test during the bridge operation period. And calculate the error between the fundamental frequency and the measured value of 4.46% ~ 5.48%, in the acceptable range. The algorithm is not only applicable to all kinds of complex section multi-tower suspension bridge in the tower, but also suitable for hanging wire transmission tower and other engineering structures.