• Acta Physica Sinica
  • Vol. 68, Issue 21, 214301-1 (2019)
Yan-Ling Zhou, Jun Fan*, and Bin Wang
DOI: 10.7498/aps.68.20190991 Cite this Article
Yan-Ling Zhou, Jun Fan, Bin Wang. Inversion for acoustic parameters of plastic polymer target in water[J]. Acta Physica Sinica, 2019, 68(21): 214301-1 Copy Citation Text show less
Form function of the solid spheres for two materials.两种材料实心球形态函数幅频特性曲线
Fig. 1. Form function of the solid spheres for two materials.两种材料实心球形态函数幅频特性曲线
Dispersion curves of the solid PMMA sphere: (a) Real-imaginary of eigenvalue; (b) normalized phase velocity.实心PMMA球频散曲线 (a)特征值实部-虚部; (b)归一化相速度
Fig. 2. Dispersion curves of the solid PMMA sphere: (a) Real-imaginary of eigenvalue; (b) normalized phase velocity.实心PMMA球频散曲线 (a)特征值实部-虚部; (b)归一化相速度
Ray diagram for subsonic Rayleigh waves propagating around the sphere.亚音速Rayleigh波传播路径
Fig. 3. Ray diagram for subsonic Rayleigh waves propagating around the sphere.亚音速Rayleigh波传播路径
(a) Normalized dispersion curve of subsonic Rayleigh waves (black dotted line) and curves of 2ka/(2p + 1) (blue line); (b) pure elastic resonance.(a)亚音速Rayleigh波归一化相速度(黑色点划线)和曲线2ka/(2p + 1)(蓝色线); (b)纯弹性共振
Fig. 4. (a) Normalized dispersion curve of subsonic Rayleigh waves (black dotted line) and curves of 2ka/(2p + 1) (blue line); (b) pure elastic resonance. (a)亚音速Rayleigh波归一化相速度(黑色点划线)和曲线2ka/(2p + 1)(蓝色线); (b)纯弹性共振
Sensitivity of resonance-frequency: (a) fref = 4.15 kHz; (b) fref = 16.05 kHz.PMMA球两个典型共振峰频率敏感度 (a) fref = 4.15 kHz; (b) fref = 16.05 kHz
Fig. 5. Sensitivity of resonance-frequency: (a) fref = 4.15 kHz; (b) fref = 16.05 kHz. PMMA球两个典型共振峰频率敏感度 (a) fref = 4.15 kHz; (b) fref = 16.05 kHz
Sensitivity of resonance-amplitude: (a) fref = 4.15 kHz; (b) fref = 16.05 kHzPMMA球两个典型共振峰幅度敏感度 (a) fref = 4.15 kHz; (b) fref = 16.05 kHz
Fig. 6. Sensitivity of resonance-amplitude: (a) fref = 4.15 kHz; (b) fref = 16.05 kHz PMMA球两个典型共振峰幅度敏感度 (a) fref = 4.15 kHz; (b) fref = 16.05 kHz
Sensitivity of resonance frequency to attenuation: (a) fref = 4.15 kHz; (b) fref = 16.05 kHz.共振频率对衰减系数敏感度 (a) fref = 4.15 kHz; (b) fref = 16.05 kHz
Fig. 7. Sensitivity of resonance frequency to attenuation: (a) fref = 4.15 kHz; (b) fref = 16.05 kHz. 共振频率对衰减系数敏感度 (a) fref = 4.15 kHz; (b) fref = 16.05 kHz
Flow chart of material parameters inversion.材料声学参数反演技术流程图
Fig. 8. Flow chart of material parameters inversion.材料声学参数反演技术流程图
Cost function of resonance frequency: (a) ; (b) 频率代价函数 (a) ; (b)
Fig. 9. Cost function of resonance frequency: (a) ; (b) 频率代价函数 (a) ; (b)
Relative errors of the transverse wave velocity and the longitudinal wave velocity.剪切波和纵波声速相对误差
Fig. 10. Relative errors of the transverse wave velocity and the longitudinal wave velocity.剪切波和纵波声速相对误差
Cost function of resonance amplitude: (a) ; (b) .幅度代价函数 (a) ; (b)
Fig. 11. Cost function of resonance amplitude: (a) ; (b) . 幅度代价函数 (a) ; (b)
Relative errors of the longitudinal wave attenuation coefficient and the transverse wave attenuation coefficient.纵波和剪切波衰减系数相对误差
Fig. 12. Relative errors of the longitudinal wave attenuation coefficient and the transverse wave attenuation coefficient.纵波和剪切波衰减系数相对误差
Arrangement of experimental system.实验布放及测量仪器
Fig. 13. Arrangement of experimental system.实验布放及测量仪器
Time-domain signal: (a) Echoes; (b) incident pressure.时域信号 (a)回波; (b)入射波
Fig. 14. Time-domain signal: (a) Echoes; (b) incident pressure.时域信号 (a)回波; (b)入射波
Flow chart of obtaining form function.获取形态函数流程图
Fig. 15. Flow chart of obtaining form function.获取形态函数流程图
Cost function: (a) Resonance frequency; (b) resonance amplitude.代价函数 (a)共振峰频率; (b)共振峰幅度
Fig. 16. Cost function: (a) Resonance frequency; (b) resonance amplitude.代价函数 (a)共振峰频率; (b)共振峰幅度
Comparison between experimental and theoretical calculation.实验结果和理论计算对比
Fig. 17. Comparison between experimental and theoretical calculation.实验结果和理论计算对比
材料密度/kg·m–3纵波波速/m·s–1剪切波波速/m·s–1纵波衰减系数 ${\alpha _{\rm{d}}}$剪切波衰减系数 ${\alpha _{\rm{s}}}$
PMMA1190269013400.00340.0053
770059503240
10001500
Table 1. Material parameters used in the calculations.
共振峰频率 ${f_{{\rm{m}}j}}$/kHz 共振峰幅度 ${A_{{\rm{m}}j}}$
${f_{{\rm{m}}1}}$7.654${A_{{\rm{m}}1}}$3.1556
${f_{{\rm{m}}2}}$9.605${A_{{\rm{m}}2}}$3.1378
${f_{{\rm{m}}3}}$11.48${A_{{\rm{m}}3}}$2.6025
${f_{{\rm{m}}4}}$14.894${A_{{\rm{m}}4}}$2.5969
Table 2.

Resonance frequency and amplitude obtained in experiment.

实验获取共振峰频率和幅度

Yan-Ling Zhou, Jun Fan, Bin Wang. Inversion for acoustic parameters of plastic polymer target in water[J]. Acta Physica Sinica, 2019, 68(21): 214301-1
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