A Damage Identification Method for Transmission Towers Based on Substructure Model Reduction and Data Driving
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摘要: 针对受静载作用的输电杆塔大型复杂结构,提出了一种基于子结构模型降阶和数据驱动的损伤回归识别方法. 根据杆塔框架结构特征及其在自重和覆冰静载作用下的变形特征划分子结构,确定结构可能出现的损伤状态,定义损伤指标. 采用子结构模型降阶方法对含损伤结构的有限元模型进行降阶,形成降阶模型库. 进一步,根据杆塔受载特征确定标定载荷,根据变形及破坏模式设计应变传感器布置方案,采用有限元方法计算降阶模型库中所有模型在标定载荷作用下的变形,构建数据集. 以传感器测点的应变数据作为输入,损伤指标作为输出,利用BP神经网络算法建立损伤回归识别模型,实现杆塔损伤位置识别和损伤指标预测,为杆塔结构健康状态实时监测技术开发奠定了基础.Abstract: A damage regression identification method for large and complex transmission tower structures subjected to static loads was proposed based on the substructure model reduction and data-driven method. According to the structural features of the transmission tower and its deformation under self-weight and ice loading, the full finite element model for the tower was reduced by means of the sub-structure method, the possible damage modes were predicted and the damage indexes defined. The substructure modeling method was used to reduce the orders of the structure with different damage states, and the order reduction model library was established. The calibration load was determined based on the loading characteristics of the tower, and the strain sensor layout was designed according to the deformation and failure modes. The deformations of all the reduced-order models under calibration loads were numerically simulated with the finite element method, and a dataset was then created. With the data measured by the strain sensors as input and the damage indexes as output, a damage regression identification model was built by the BP neural network algorithm. With the identification model, the damage locations can be recognized and the damage indexes can be quantified. This work lays a foundation for real-time health monitoring of transmission tower structures.
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Key words:
- substructure model reduction /
- transmission tower /
- data-driven method /
- damage identification /
- regression model
edited-byedited-by1) (我刊编委严波来稿) -
表 1 导线和地线物理参数
Table 1. Physical parameters of conductors and ground wires
model Young’s modulus E/MPa cross-sectional area A/mm2 mass m/(kg·m-1) diameter d/mm conductor(JL/G1A-400/35) 65 400 973 3.071 2 40.6 ground wire(JLB20A-240) 147 200 238.76 1.595 5 20.01 表 2 线路结构参数和覆冰厚度取值
Table 2. Structural parameters of the transmission line and the ice thickness
span L/m elevation ΔH/m ice thickness h/mm 300, 400, 500 0, 25, 50 0, 10, 20, 30, 40, 50, 60 表 3 原模型和降阶模型所有结点位移与单元应力相对误差
Table 3. Relative errors of node displacements and element stresses in the prototype and reduced-order models
error type relative error δ/% X-shift Y-shift Z-shift axial normal stress average error 0.478 0.516 0.462 1.025 maximum error 0.643 0.692 0.591 2.649 表 4 作用于杆塔上导地线挂点的标定载荷取值范围
Table 4. Calibration loads on hanging points of conductors and ground wires with the tower
hanging point calibration loads F/N X-direction Y-direction Z-direction 1,2 0 [-273 946, -107 164] [-346 193, -134 598] 3,4 [67 299, 173 096] [-273 946, -107 164] [116 565, 299 812] 5,6 0 [-115 348, -58 162] [-145 770, -73 051] 7,8 [36 526, 72 885] [-115 348, -58 162] [63 264, 126 240] 表 5 典型损伤状态下回归和分类识别方法对比
Table 5. Comparison of regression and classification recognition methods
damage combination realistic damage index δr/% regression prediction of damage indicator δrp/% classification prediction of damage indicator δcp/% ① ② ③ ④ ① ② ③ ④ ① ② ③ ④ C1 15 0 0 0 15.3 0.17 0.06 0.09 15 0 0 0 C2 0 17 0 0 0.05 16.9 0.08 0.03 0 15 0 0 C3 10 0 20 0 10.6 0 19.7 0.21 10 0 20 0 C4 0 6 13 0 0 6.32 13.2 0.16 0 10 10 0 C5 0 18 0 23 0.18 18.8 0.05 22.6 0 15 0 25 C6 5 0 5 0 5.26 0.15 4.49 0.04 0 0 0 0 C7 6 21 0 0 6.24 21.2 0.12 0.08 10 20 0 0 C8 27 0 0 11 25.3 0.26 0 10.91 20 0 0 15 -
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