超声固体测温中的二维温度场重建算法研究
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摘要
高分辨率的温度场重建算法是制约超声波无损探测固体内部温度分布的重要因素之一.本文基于多路超声探测方法,建立了超声测量二维固体结构内部温度分布的理论模型;从射线声学角度建立了二维声传播路径预测方法;在此基础上,从直接求解热/声耦合反问题角度入手,将二维瞬态非均匀温度场的重建问题转化为传播路径预测和等效热边界的反演问题,发展了一种高分辨率的结构内部二维非均匀温度场重建方法,并通过数值仿真分析了传播路径随温度的弯曲特性、算法的精度与抗噪性、测点位置分布对重建精度的影响规律等.数值对比表明,本文所建算法精度高、抗噪性强、适用性好,为实现超声固体测温中的二维温度场的高分辨率再现奠定坚实基础.
Reconstruction method has played a fundamental and significant role in measuring internal temperature fields using ultrasound. A new method is proposed to reconstruct internal two dimensional temperature fields in solid structure using ultrasonic thermometry technique in this paper. Based on ultrasonic travel time changes with temperature, a mathematical model of temperature measurement using ultrasonic is established, which effectively describes the cumulative amount of temperature distribution on the propagation path of wave. Meanwhile, two-dimensional acoustic propagation path prediction method is developed using the ray acoustics. Then,combining parameter estimation method and path prediction method, two-dimensional temperature field reconstruction method is presented. To demonstrate the robustness and practicability of temperature field reconstruction method, a comprehensive analysis is conducted using dimensionless analysis to investigate the influences of two factors, that is measurement error and measuring point position distribution. Numerical experiments show that this reconstruction method developed in this paper has high precision, strong noise immunity and good applicability. Therefore, it can be helpful for realizing high-resolution reproduction of internal temperature field in solid structure.
Reconstruction method has played a fundamental and significant role in measuring internal temperature fields using ultrasound. A new method is proposed to reconstruct internal two dimensional temperature fields in solid structure using ultrasonic thermometry technique in this paper. Based on ultrasonic travel time changes with temperature, a mathematical model of temperature measurement using ultrasonic is established, which effectively describes the cumulative amount of temperature distribution on the propagation path of wave. Meanwhile, two-dimensional acoustic propagation path prediction method is developed using the ray acoustics. Then,combining parameter estimation method and path prediction method, two-dimensional temperature field reconstruction method is presented. To demonstrate the robustness and practicability of temperature field reconstruction method, a comprehensive analysis is conducted using dimensionless analysis to investigate the influences of two factors, that is measurement error and measuring point position distribution. Numerical experiments show that this reconstruction method developed in this paper has high precision, strong noise immunity and good applicability. Therefore, it can be helpful for realizing high-resolution reproduction of internal temperature field in solid structure.
引文
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11 常蕾,赵俭.超声波测温技术在高温气流温场测量中的应用.计测技术. 2014, 34:1–9
12 桂业伟,魏东,石友安,等.基于超声的固体内部温度测量研究进展.见:2016年度工程热物理年会文集,北京
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14 石友安,魏东,桂业伟,等.超声测量结构内部瞬态温度场的重建方法研究.中国科学:技术科学, 2016, 46:509–517
15 Ihara I, Takahashi M. A new method for internal temperature profile measurement by ultrasound. In:Instrumentation and Measurement Technology Conference. Poland, 2007. 1–5
16 石友安.结构内部温度场的超声波探测方法研究.博士学位论文.成都:中国空气动力研究与发展中心, 2016
17 Culler A J, Mcnamara J J. Fluid-thermal-structural modeling and analysis of hypersonic structures under combined loading. In:Collection of Technical Papers-AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Denver, 2011. AIAA-2011-1965
18 Wei D, Shi A H, Shou B N, et al. Reconstruction of internal temperature distributions in heat materials by ultrasonic measurements. Appl Thermal Eng, 2017, 112:38–44
19 钱炜祺,何开锋,汪清.三维非稳态热传导逆问题反演算法研究.力学学报, 2008, 40:611–618
20 解可新,韩健,林友联.最优化方法.天津:天津大学出版社, 1997
2 Lu C H, Tsai C C. Adaptive decoupling predictive temperature control for an extrusion barrel in a plastic injection molding process. IEEE Trans Ind Electron, 2001, 48:968–975
3 Smith T B, Schetz J A. Development and ground testing of heat flux gages for high enthalpy supersonic flight tests. In:22nd AIAA Aerodynamic Measurement Technology and Ground Testing Conference. St. Louis, 2002. 24–26
4 Gartenberg E, Oberts A S. Twenty-five years of aerodynamic research with infrared imaging. J Aircraft, 1992, 29:161–171
5 杨永军,蔡静.特殊条件下的温度测量.北京:中国计量出版社, 2008
6 Venkatraman B, Jayakumar T, Kalyanasundaram P, et al. NDE methodologies for examination of tail rotor blades of helicopters. In:Proceedings of the 15th WCNDT. Roma, 2000
7 Wang H Z, Yu H B, Lin F L. Method and experiment of noninvasive temperature estimation by ultrasound echo pulses. In:Proceedings of the20 th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. 1998. 1513–1516
8 Koo K M, Jeong D G, Choi J H, et al. A new measurement system of very high temperature in atomic pile using ultrasonic delay time. In:Proceedings of IEEE Region 10 International Conference on Electrical and Electronic Technology. Singapore, 2001. 860–863
9 孙崇正.超声波测温技术进展.宇航计测技术, 1995, 15:34–41
10 Takahashi M, Ihara I. Ultrasonic sensing of internal temperature distributions in heated materials. In:2006 SICE-ICASE International Joint Conference. Busan, 2006. 1071–1074
11 常蕾,赵俭.超声波测温技术在高温气流温场测量中的应用.计测技术. 2014, 34:1–9
12 桂业伟,魏东,石友安,等.基于超声的固体内部温度测量研究进展.见:2016年度工程热物理年会文集,北京
13 张海澜.理论声学.北京:高等教育出版社, 2012
14 石友安,魏东,桂业伟,等.超声测量结构内部瞬态温度场的重建方法研究.中国科学:技术科学, 2016, 46:509–517
15 Ihara I, Takahashi M. A new method for internal temperature profile measurement by ultrasound. In:Instrumentation and Measurement Technology Conference. Poland, 2007. 1–5
16 石友安.结构内部温度场的超声波探测方法研究.博士学位论文.成都:中国空气动力研究与发展中心, 2016
17 Culler A J, Mcnamara J J. Fluid-thermal-structural modeling and analysis of hypersonic structures under combined loading. In:Collection of Technical Papers-AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Denver, 2011. AIAA-2011-1965
18 Wei D, Shi A H, Shou B N, et al. Reconstruction of internal temperature distributions in heat materials by ultrasonic measurements. Appl Thermal Eng, 2017, 112:38–44
19 钱炜祺,何开锋,汪清.三维非稳态热传导逆问题反演算法研究.力学学报, 2008, 40:611–618
20 解可新,韩健,林友联.最优化方法.天津:天津大学出版社, 1997