Determination of the parameters of a linear-viscoelastic thin layer using the normally-incident ultrasonic waves

doi:10.1088/1674-1056/19/7/074301

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 74301-074301.doi: 10.1088/1674-1056/19/7/074301

Determination of the parameters of a linear-viscoelastic thin layer using the normally-incident ultrasonic waves

姚桂锦¹, 张香林¹, 吕卫国², 宋若龙², 崔志文², 王克协²

(1)The School of Communication Engineering, Jilin University, Changchun 130012, China; (2)The School of Physics, Jilin University, Changchun 130023, China

出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10534040 and 40674059) and the State Key Laboratory of Acoustics (IACAS) (Grant No. 200807).

Determination of the parameters of a linear-viscoelastic thin layer using the normally-incident ultrasonic waves

Yao Gui-Jin (姚桂锦)^a, Lü Wei-Guo (吕卫国)^b, Song Ruo-Long (宋若龙)^b, Cui Zhi-Wen (崔志文)^b, Zhang Xiang-Lin (张香林)^a, Wang Ke-Xie (王克协)^b

^a The School of Communication Engineering, Jilin University, Changchun 130012, China; ^b The School of Physics, Jilin University, Changchun 130023, China

Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10534040 and 40674059) and the State Key Laboratory of Acoustics (IACAS) (Grant No. 200807).

摘要/Abstract

摘要： This paper proposes a method of simultaneous determination of the four layer parameters (mass density, longitudinal velocity, the thickness and attenuation) of an immersed linear-viscoelastic thin layer by using the normally-incident reflected and transmitted ultrasonic waves. The analytical formula of the layer thickness related to the measured transmitted transfer functions is derived. The two determination steps of the four layer parameters are developed, in which acoustic impedance, time-of-flight and attenuation are first determined by the reflected transfer functions. Using the derived formula, it successively calculates and determines the layer thickness, longitudinal velocity and mass density by the measured transmitted transfer functions. According to the two determination steps, a more feasible and simplified measurement setups is described. It is found that only three signals (the reference waves, the reflected and transmitted waves) need to be recorded in the whole measurement for the determination of the four layer parameters. A study of the stability of the determination method against the experimental noises and the error analysis of the four layer parameters are made. This study lays the theoretical foundation of the practical measurement of a linear-viscoelastic thin layer.

Abstract: This paper proposes a method of simultaneous determination of the four layer parameters (mass density, longitudinal velocity, the thickness and attenuation) of an immersed linear-viscoelastic thin layer by using the normally-incident reflected and transmitted ultrasonic waves. The analytical formula of the layer thickness related to the measured transmitted transfer functions is derived. The two determination steps of the four layer parameters are developed, in which acoustic impedance, time-of-flight and attenuation are first determined by the reflected transfer functions. Using the derived formula, it successively calculates and determines the layer thickness, longitudinal velocity and mass density by the measured transmitted transfer functions. According to the two determination steps, a more feasible and simplified measurement setups is described. It is found that only three signals (the reference waves, the reflected and transmitted waves) need to be recorded in the whole measurement for the determination of the four layer parameters. A study of the stability of the determination method against the experimental noises and the error analysis of the four layer parameters are made. This study lays the theoretical foundation of the practical measurement of a linear-viscoelastic thin layer.

Key words: ultrasonic determination, normally-incident reflected/transmitted waves, layer parameters, linear-viscoelastic thin layer

中图分类号: (Elasticity and anelasticity, stress-strain relations)

81.40.Jj

62.65.+k (Acoustical properties of solids)

姚桂锦, 吕卫国, 宋若龙, 崔志文, 张香林, 王克协. Determination of the parameters of a linear-viscoelastic thin layer using the normally-incident ultrasonic waves[J]. 中国物理B, 2010, 19(7): 74301-074301.

Yao Gui-Jin (姚桂锦), Lü Wei-Guo (吕卫国), Song Ruo-Long (宋若龙), Cui Zhi-Wen (崔志文), Zhang Xiang-Lin (张香林), Wang Ke-Xie (王克协). Determination of the parameters of a linear-viscoelastic thin layer using the normally-incident ultrasonic waves[J]. Chin. Phys. B, 2010, 19(7): 74301-074301.

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Determination of the parameters of a linear-viscoelastic thin layer using the normally-incident ultrasonic waves

Determination of the parameters of a linear-viscoelastic thin layer using the normally-incident ultrasonic waves

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