采用实测应变响应的输电塔二维动态位移重构

Two-dimensional dynamic displacement reconstruction of transmission tower based on measured strain response

  • 摘要: 输电塔是电能输送的关键一环,对其开展健康监测的相关研究刻不容缓。二维动态位移是健康监测中的重要物理量,然而已有监测手段在测量输电塔的位移响应时受限较多。为此,本文提出一种基于实测应变响应的输电塔二维动态位移重构方法。将输电塔简化为变截面悬臂梁,提出应变解耦公式将二维重构问题分解为一维重构问题,结合随机子空间识别理论建立二维应变-位移映射法,实现由应变到位移的转换。开展输电塔风振模拟,结果表明最高点的重构误差仅有1%,且所提方法在高噪声的情况下仍有良好鲁棒性。为进一步验证该方法的可行性,进行了输电塔的足尺试验,结果表明:最高点的重构位移值与全站仪观测值相差最大为5.4 mm,仅为实测值的6%。

     

    Abstract: Transmission tower is a key part of power transmission, which is urgent to carry out health monitoring research. Two-dimensional dynamic displacement is an important index in health monitoring, however, the existing monitoring methods are limited in measuring the displacement response of the transmission tower. To this end, this paper proposes a two-dimensional dynamic displacement reconstruction method based on measured strain response. Firstly, the transmission tower is simplified as cantilever beam with a variable cross-section, then the strain decoupling formula is proposed to decompose the two-dimensional reconstruction problem into one-dimensional reconstruction problem, and a two-dimensional strain-displacement mapping method combined with the stochastic subspace identification theory, which realize the transformation from strain to displacement. Subsequently, the wind-induced vibration simulation of the transmission tower is carried out, which suggest that the reconstruction error of the highest point is only 1%, and the proposed method still has good robustness in the high noise case. To further verify the feasibility of the proposed method, a full-scale test of the transmission tower was carried out, and the results demonstrate that the maximum difference between the reconstructed displacement value of the highest point and the total station observation value is 5.4 mm, accounting for only 6% of the measured value.

     

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