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Nonlinear Damage Identification of Breathing Cracks in Truss System

机译:桁架系统中呼吸裂纹的非线性损伤识别

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摘要

The breathing cracks in truss system are detected by Frequency Response Function (FRF) based damage identification method. This method utilizes damage-induced changes of frequency response functions to estimate the severity and location of structural damage. This approach enables the possibility of arbitrary interrogation frequency and multiple inputs/outputs which greatly enrich the dataset for damage identification. The dynamical model of truss system is built using the finite element method and the crack model is based on fracture mechanics. Since the crack is driven by tensional and compressive forces of truss member, only one damage parameter is needed to represent the stiffness reduction of each truss member. Assuming that the crack constantly breathes with the exciting frequency, the linear damage detection algorithm is developed in frequency/time domain using Least Square and Newton Raphson methods. Then, the dynamic response of the truss system with breathing cracks is simulated in the time domain and meanwhile the crack breathing status for each member is determined by the feedback from real-time displacements of member's nodes. Harmonic Fourier Coefficients (HFCs) of dynamical response are computed by processing the data through convolution and moving average filters. Finally, the results show the effectiveness of linear damage detection algorithm in identifying the nonlinear breathing cracks using different combinations of HFCs and sensors.
机译:通过基于频率响应函数(FRF)的损伤识别方法来检测桁架系统中的呼吸裂纹。该方法利用损伤引起的频率响应函数变化来估计结构损伤的严重程度和位置。这种方法使任意询问频率和多个输入/输出的可能性成为可能,这极大地丰富了用于损伤识别的数据集。采用有限元方法建立了桁架系统的动力学模型,并基于断裂力学建立了裂纹模型。由于裂纹是由桁架构件的拉力和压缩力驱动的,因此仅需要一个损伤参数来表示每个桁架构件的刚度降低。假设裂纹以激励频率不断呼吸,则使用最小二乘和牛顿拉夫森方法在频/时域中开发了线性损伤检测算法。然后,在时域中模拟了具有呼吸裂纹的桁架系统的动态响应,同时通过成员节点实时位移的反馈来确定每个成员的裂纹呼吸状态。通过卷积和移动平均滤波器处理数据来计算动态响应的谐波傅立叶系数(HFC)。最后,结果表明,使用不同的HFC和传感器组合,线性损伤检测算法在识别非线性呼吸裂纹中的有效性。

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