A multi-line source sound field model, for high-efficiency phased array ultrasonic detection of damage on the inner surface of curved artillery shell casing

IF 3.4 2区物理与天体物理 Q1 ACOUSTICS

Applied Acoustics Pub Date : 2025-09-01 DOI:10.1016/j.apacoust.2025.111049

Jiajian Meng , Qiang Han , Enpei Zhao , Xianke Li , Haomiao Fang , Junrong Li , Xinyu Zhao , Jianhai Zhang , Hongwei Zhao

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引用次数: 0

Abstract

It is significant to study the focused sound field distribution of curved transducers to guide its optimized design and fabrication. Aiming at the problems of the complex beam model and low computational efficiency of the linear curved phased array transducer, this paper optimizes the Non-paraxial approximation multi-gaussian beam model (NMG) and proposes a two-dimensional Multi-linear source field model (MLS). The high-frequency analytical expression of the Rayleigh integral is derived using the Hankel equation, yielding semi-analytical solutions. Taking the simulation results of the high-frequency focused sound field by the Finite element method (FEM) as the reference standard: the NMG model demonstrated axial and off-axis errors below 8.57 % and 6.93 % respectively, while requiring only 9.15 % of the computational time compared to FEM models. The developed MLS model exhibited superior performance with maximum errors of 3.44 % (axial) and 1.87 % (off-axis), achieving a minimum computation time reduction to 1.06 % of FEM models while maintaining higher computational efficiency than NMG models under refined resolution conditions. Parametric analysis revealed the influence of transducer radius, element width, and center frequency on focusing performance, demonstrating the capability of the MLS beam model in transducer parameter configuration and optimization design. Guided by beam field simulations for optimal transmitter aperture configuration, the ultrasonic B-scan technology is used to solve the problem of accurate imaging detection of various damages on the inner side surface of the artillery shell casing. This research establishes a reliable technical framework for rapid experimental configuration and high-precision imaging applications of linear curved phased array transducers.

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建立了一种多线源声场模型，用于高效相控阵超声检测弯曲炮弹壳内表面损伤

研究弯曲换能器的聚焦声场分布对其优化设计和制造具有重要意义。针对线性弯曲相控阵换能器光束模型复杂、计算效率低的问题，对非傍轴近似多高斯光束模型（NMG）进行了优化，提出了二维多线性源场模型（MLS）。利用汉克尔方程推导出瑞利积分的高频解析表达式，得到半解析解。以有限元法（FEM）对高频聚焦声场的模拟结果为参考标准，NMG模型的轴向和离轴误差分别小于8.57%和6.93%，计算时间仅为FEM模型的9.15%。在精细分辨率条件下，MLS模型的最大误差为3.44%（轴向）和1.87%（离轴），计算时间比FEM模型减少了1.06%，计算效率也比NMG模型高。参数分析揭示了换能器半径、元件宽度和中心频率对聚焦性能的影响，验证了MLS光束模型在换能器参数配置和优化设计中的能力。在波束场模拟优化发射孔径配置的指导下，利用超声b扫描技术解决了炮弹壳内表面各种损伤的精确成像检测问题。本研究为线性弯曲相控阵换能器的快速实验配置和高精度成像应用建立了可靠的技术框架。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Acoustics 物理-声学

CiteScore

7.40

自引率

11.80%

发文量

618

审稿时长

7.5 months

期刊介绍： Since its launch in 1968, Applied Acoustics has been publishing high quality research papers providing state-of-the-art coverage of research findings for engineers and scientists involved in applications of acoustics in the widest sense. Applied Acoustics looks not only at recent developments in the understanding of acoustics but also at ways of exploiting that understanding. The Journal aims to encourage the exchange of practical experience through publication and in so doing creates a fund of technological information that can be used for solving related problems. The presentation of information in graphical or tabular form is especially encouraged. If a report of a mathematical development is a necessary part of a paper it is important to ensure that it is there only as an integral part of a practical solution to a problem and is supported by data. Applied Acoustics encourages the exchange of practical experience in the following ways: • Complete Papers • Short Technical Notes • Review Articles; and thereby provides a wealth of technological information that can be used to solve related problems. Manuscripts that address all fields of applications of acoustics ranging from medicine and NDT to the environment and buildings are welcome.