The acoustic stealth shape design of the underwater vehicle has become a topic of considerable current interest to the experts engaging underwater acoustic countermeasure technology in recent years. During tracking the target, the echo strength of head shape is easily exposed and detected for the underwater vehicle, which directly affects its acoustic stealth performance. This paper proposes an optimal design method for the acoustic stealth shape of the underwater vehicle head with relatively lower target strength (TS), based on the Nelder–Mead optimization algorithm and finite element method. In this method, Bernstein polynomials are used to describe the underwater vehicle head shape deviation, and the optimization objective function is given as the weighting function of the TS of underwater vehicles head with different angles and frequencies. Then, the two optimized results with different situations are given, which are evaluated using the angle detecting rate. Finally, the 2D axisymmetric calculation method of the underwater acoustic scattering field is used to verify the TS calculation in this paper. The optimization design method may provide guidance for the lower TS shape design of the underwater vehicle, which may realize the automatic design of the lower TS shape with incident plane waves at given angles and given frequency bands.

中文翻译：

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水下航行器头部声隐身形状的优化设计研究

近年来，水下航行器的声学隐身形状设计已经成为从事水下声学对策技术的专家相当感兴趣的话题。在跟踪目标过程中，水下航行器很容易暴露和检测到头部形状的回声强度，这直接影响其声学隐身性能。本文基于Nelder-Mead优化算法和有限元方法，提出了一种具有较低目标强度（TS）的水下航行器头部声隐身形状的优化设计方法。该方法采用伯恩斯坦多项式描述水下航行器头部形状偏差，并给出优化目标函数作为不同角度和频率的水下航行器头部TS的加权函数。然后，给出了两种不同情况下的优化结果，并使用角度检测率对其进行了评估。最后，本文采用水声散射场的二维轴对称计算方法对TS计算进行了验证。该优化设计方法可以为水下航行器的下部TS形状设计提供指导，可以实现在给定角度和频带下入射平面波对下部TS形状的自动设计。