A Fast Calculation Method for Acoustic Scattering of Cyclic Symmetric Structures

doi:10.12382/bgxb.2024.0291

Abstract

Abstract:

For the simulation requirements of acoustic scattering characteristics of cyclic symmetric structures such as cable, wire rope and metasurface, a substructure method based on finite elements principle is proposed to realize the fast calculation of acoustic scattering. Through expanding the Fourier series of surface acoustic loads and displacements of a single-period substructure, and applying the phase-mapping constraints related to orders on boundary loads and displacements, the scattering acoustic field for each order and the total scattering acoustic field are rapidly calculated. The enhancement mechanism of scattering acoustic field in non-mirror direction observed in the experiment is analyzed. The simulated and experimental results of spiral groove structure indicate that the computational results obtained by the proposed method exhibit high accuracy. The proposed method requires less memory and achieves faster computation speed compared to the traditional three-dimensional finite elements method under the condition of the same computational accuracy, with an acceleration ratio being equal to the number of circumferential periods.

Key words: cyclic symmetric structures, echo characteristic, acoustic scattering, finite elements method

CLC Number:

TB56

CHEN Yusi, ZHANG Ning, FAN Jun, LI Bing, WANG Bin. A Fast Calculation Method for Acoustic Scattering of Cyclic Symmetric Structures[J]. Acta Armamentarii, 2025, 46(5): 240291-.

Figures/Tables 15

Fig.1 The instances of cyclic symmetric structure

Fig.2 The model of spiral groove structure with four circumferential periods

Table 1 Parameters of spiral groove structure

参数	数值/m
螺旋凹槽壳体总长d	1.29
螺旋圆柱段长d₁	1.20
圆柱外半径/半球外径r₁	0.09
螺旋凹槽半径r₂	0.015
壳体厚度w	0.04
相邻螺旋凹槽间距d₂	0.06

Fig.3 Comparison of monostatic target strengths at 1kHz

Fig.4 Comparison of frequency sweepings at different incident angles

Fig.5 Comparison of calculation times

Fig.6 Experimental models

Fig.7 Layout of experimental system

Fig.8 Target strength angle-time spectra of experimental models

Fig.9 Echo in time domain at 45°

Fig.10 Target strength angle-frequency spectra of experimental models

Fig.11 Comparison of simulated and experimental results of monostatic target strength

Fig.12 Comparison of monostatic target strengths of two models

Fig.13 Schematic diagram of interference

Table 2 Interference angles at different frequencies

频率/kHz	仿真/(°)	实验/(°)	误差/(°)
	38.68	38.00	0.68
20	141.32	140.00	1.32
	218.68	219.00	-0.32
	321.31	322.00	-0.69
	24.62	24.50	0.12
	56.44	57.00	-0.56
	123.56	124.50	-0.94
30	155.38	155.00	0.38
	204.62	204.50	0.12
	236.44	236.00	0.44
	303.56	305.50	-1.94
	335.38	336.00	-0.62

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