Full matrix focusing method of ultrasonic phased array has been proved with advantages of good signal-to-noise ratio and imaging resolution in the field of Ultrasonic NDT. However, it is still suffering from the time-consuming data acquisition and processing. In order to solve the problem, two simplified matrix focusing methods are provided in the paper. One provided method is a triangular matrix focusing algorithm based on the principle of reciprocity for the multi-channel ultrasonic system. The other provided method is a trapezoidal matrix focusing algorithm based on the energy weight of the different channel to the focusing area. Time of data acquisition and computational is decreased with the provided simplified matrix focusing methods. In order to prove the validity of two provided algorithms, both side-drilled holes and oblique cracks are used for imaging experiments. The experimental results show that the imaging quality of the triangular matrix focusing algorithm is basically consistent to that of the full matrix focusing method. And imaging quality of the trapezoidal matrix focusing algorithm is slightly reduced with the amount of multi-channel data decreasing. Both data acquisition and computational efficiency using the triangular matrix focusing algorithm and the trapezoidal matrix focusing algorithm have been improved significantly compared with original full matrix focusing method.
Xinyu Zhao
,
Zemin Ma
,
Jiaying Zhang
. Simplified Matrix Focusing Imaging Algorithm for Ultrasonic Nondestructive Testing[J]. Chinese Journal of Mechanical Engineering, 2022
, 35(2)
: 19
-19
.
DOI: 10.1186/s10033-022-00682-8
Full matrix focusing method of ultrasonic phased array has been proved with advantages of good signal-to-noise ratio and imaging resolution in the field of Ultrasonic NDT. However, it is still suffering from the time-consuming data acquisition and processing. In order to solve the problem, two simplified matrix focusing methods are provided in the paper. One provided method is a triangular matrix focusing algorithm based on the principle of reciprocity for the multi-channel ultrasonic system. The other provided method is a trapezoidal matrix focusing algorithm based on the energy weight of the different channel to the focusing area. Time of data acquisition and computational is decreased with the provided simplified matrix focusing methods. In order to prove the validity of two provided algorithms, both side-drilled holes and oblique cracks are used for imaging experiments. The experimental results show that the imaging quality of the triangular matrix focusing algorithm is basically consistent to that of the full matrix focusing method. And imaging quality of the trapezoidal matrix focusing algorithm is slightly reduced with the amount of multi-channel data decreasing. Both data acquisition and computational efficiency using the triangular matrix focusing algorithm and the trapezoidal matrix focusing algorithm have been improved significantly compared with original full matrix focusing method.
[1] G Yang, N Du. Phased array three-dimensional all-focus imaging detection technology. NDT & E, 2018, 40(5): 64–67.
[2] J P Jiao, S F Yang. Research on phase-weighted vector all-focus ultrasound array imaging method. Acta Acoustics, 2017, 42(4): 485–494.
[3] Y Lin. Ultrasonic phased array full-focus imaging detection. Nondestructive Testing, 2017, 39(5): 57–64.
[4] Z Q Zhou, Y Li. Research, application and development of phased array ultrasonic post-processing imaging technology. Chinese Journal of Mechanical Engineering, 2016, 52(6): 1–11.
[5] L Lin, P H Yang, D H Zhang. Review of phased array ultrasonic testing for thick wall cast austenitic stainless steel pipeline welds. Journal of Mechanical Engineering, 2012, 48(4): 12–20.
[6] C Li, D Pain, P D Wilcox. Imaging composite material using ultrasonic arrays. NDT & International, 2013, 53 (16): 8–17.
[7] X Y Zhao, T Gang, B X Zhang. Prediction of radiation beam fields from an array transducer with nonparaxial multi-Gaussian beam model. Acta Acustica, 2008, 33(5): 475–480.
[8] X Y Zhao, T Gang. Nonparaxial multi-Gaussian beam models and measurement models for phased array transducers. Ultrasonics, 2009, 49(1): 126–130.
[9] Z Pan, B J Zhang. Quantitative simulation of tilted cracks with ultrasonic phased array all-focus imaging technology. China Test, 2020, 46(4): 36–41.
[10] Y Jing, B Wu. Ultrasonic array full-focus imaging method for anisotropic weld defects. Acta Acoustics, 2019, 44(1): 125–135.
[11] J Q Liu, H Y Zhang. Ultrasonic phased array wavenumber imaging algorithm for rail defects. Applied Acoustics, 2018, 37(6): 835–842.
[12] Y Chen, Q Q Ma. Research on fast all-focus ultrasound imaging based on Omega-K algorithm. Chinese Journal of Scientific Instrument, 2018, 39(9): 128–134.
[13] C Holmes, B W Drinkwater, P D Wilcox. Post-processing of the full matrix of ultrasonic transmit-receive array data for non-destructive evaluation. NDT & E International, 2005, 38(8): 701–711.
[14] B Wu, J Yang, J P Jiao. Study on ultrasonic multi-mode composite total focusing imaging method for welds defect inspection in small-diameter tube of austenitic stainless steel. Journal of Mechanical Engineering, 2020, 56(14): 9–18.
[15] Z Pan, B J Zhang, H L Wang. Simulation on inclined cracks sizing of using the ultrasonic phased array total focusing imaging technique. China Measurement & Test, 2020, 46(4): 37–41.
[16] B Wu, J Yang, J P Jiao. Study on ultrasonic array imaging method for aluminum container welds. Journal of Mechanical Engineering, 2020, 56(14): 9–18.
[17] J G Wang, H Yao, H J Luo. Study on ultrasonic array imaging method for aluminum container welds. Experimental Mechanics, 2018, 33(4): 517–524.
[18] X W Shen. Full focus imaging of sparse array ultrasonic phased array based on particle swarm optimization. Applied Acoustics, 2020, 39(3): 354–359.
[19] S A Yang. Design of ultrasonic phased array real-time full focus system based on FPGA. Wuhan: University of Chinese Academy of Sciences (Wuhan Institute of physics and mathematics, Chinese Academy of Sciences), 2020.
[20] P J Chen. Debonding detection of composite shell engine based on phased array ultrasound. Taiyuan: Zhongbei University, 2021.
[21] J Zhang, M R Yang. Comparative analysis of ultrasonic phased array full focus imaging algorithms. Acoustic technology, 2021, 40(1): 71–76.
[22] Y Chen, Q Q Mao, G Chen. Research on fast full focus ultrasound imaging based on omega-k algorithm. Journal of Instrumentation, 2018, 39(9): 128–134.
[23] H Q Wu. Acquisition method of coded ultrasonic sparse data and plate weld defect imaging based on FPGA. Zhenjiang: Jiangsu University, 2020.
[24] M L Zhao. Research on defect detection of double-layer structure based on full matrix phase transfer algorithm. Chengdu: Southwest Jiaotong University, 2020.
[25] L C Jia, S L Chen, Z L Bai. Calibration model and acceleration algorithm of ultrasonic full focus imaging. Journal of instrumentation, 2017, 38(7): 1589–1596.
[26] C Ran. Research on fast ultrasonic full focus imaging based on FPGA. Chengdu: Southwest Jiaotong University, 2017.
[27] H R Jin, J Chen. An efficient wavenumber algorithm towards real-time ultrasonic full-matrix imaging of multi-layered medium. Mechanical Systems and Signal Processing, 2021: 149.
[28] H Zhang, J Zheng, B Bai. Optimal design of sparse array for ultrasonic total focusing method by binary particle swarm optimization. IEEE Access, 2020, 8: 111945–111953.
[29] H W Hu, J Du. Ultrasonic phased array sparse-TFM imaging based on sparse array optimization and new edge-directed interpolation. Sensors, 2018, 18(6): 1830–1845.
[30] H W Hu, J Du, N Xu. Ultrasonic sparse-TFM imaging for a two-layer medium using genetic algorithm optimization and effective aperture correction. NDT & E International, 2017, 90: 24–32.
