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.
引文
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