Xue Chuanrong, Xu Gang, Wang Xinke, Gao Jiacheng, Gao Dejun
College of Civil engineering & Architecture, China Three Gorges University, Yichang 443002, China.
College of Civil engineering & Architecture, China Three Gorges University, Yichang 443002, China.
Ultrasonics. 2021 Aug;115:106438. doi: 10.1016/j.ultras.2021.106438. Epub 2021 Apr 16.
The existing multi-sensor cluster acoustic emission (AE) source localization method has good positioning performance, but the parallel assumption in this method could cause positioning error. This paper focused on the analysis of the positioning error of multi-sensor cluster methods with sensor arrangements of isosceles right-angled triangle and triangular pyramid. Meanwhile, two and three-dimensional amendment algorithms for the two sensor arrangements were proposed. Pencil lead break experiments and numerical examples were used to verify the rationality of error source analysis and the accuracy of the amendment algorithms. Results show that the multi-sensor cluster methods can only accurately locate the AE sources in special positions, such as the AE sources satisfying θ = π/4 in the multi-sensor cluster method with a sensor arrangement of isosceles right-angled triangle and the AE sources satisfying cosθ=3/3 in the multi-sensor cluster method with a sensor arrangement of triangular pyramid. The results of pencil lead break experiment show that the two-dimensional amendment algorithm can accurately locate the AE sources in two-dimensional isotropic structure. For the two-dimensional anisotropic structure, the positioning result of the two-dimensional amendment algorithm is 27.8% higher than that of the multi-sensor cluster method with a sensor arrangement of isosceles right-angled triangle. The results of numerical examples show that the positioning errors of the multi-sensor cluster method with a sensor arrangement of triangular pyramid and the three-dimensional amendment algorithm are 24.6 mm and 0, respectively. Due to the correction of the positioning error caused by the parallel assumption, the latter has better positioning performance. Therefore, the amendment algorithms of the multi-sensor cluster methods have certain engineering application value in AE monitoring of two and three-dimensional structures.
现有的多传感器簇声发射（AE）源定位方法具有良好的定位性能，但该方法中的平行假设可能会导致定位误差。本文着重分析了传感器布置为等腰直角三角形和三棱锥的多传感器簇方法的定位误差。同时，针对这两种传感器布置提出了二维和三维修正算法。通过铅笔芯折断实验和数值算例验证了误差源分析的合理性和修正算法的准确性。结果表明，多传感器簇方法只能在特殊位置准确地定位AE源，如在传感器布置为等腰直角三角形的多传感器簇方法中满足θ = π/4的AE源，以及在传感器布置为三棱锥的多传感器簇方法中满足cosθ = 3/3的AE源。铅笔芯折断实验结果表明，二维修正算法能够在二维各向同性结构中准确地定位AE源。对于二维各向异性结构，二维修正算法的定位结果比传感器布置为等腰直角三角形的多传感器簇方法高27.8%。数值算例结果表明，传感器布置为三棱锥的多传感器簇方法和三维修正算法的定位误差分别为24.6 mm和0。由于修正了由平行假设引起的定位误差，后者具有更好的定位性能。因此，多传感器簇方法的修正算法在二维和三维结构的AE监测中具有一定的工程应用价值。
