In this paper, a method combining ultrasonic travel time measurement with inversion is proposed to reconstruct the solid temperature field. Based on the measured transient ultrasonic propagation time, the inverse problem of acoustic thermal coupling is solved directly, and the unknown equivalent heat flow is estimated. Then, the time and space distribution of the internal temperature field can be reconstructed accurately by calculating the corresponding heat conduction problems. Through the estimation of two typical heat flow function forms, the accuracy and influencing factors are simulated and analyzed. The feasibility and error of this method are analyzed through a transient verification experiment of a steel plate heated first and then cooled and a steady-state experiment in the literature. The results show that, compared with the previous methods, this method can predict the distribution of non-uniform temperature field more accurately and effectively. This method is expected to be an effective method for nondestructive testing of temperature distribution of solid structures.

中文翻译：

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一种重建实体结构内部温度分布的方法

本文提出了一种将超声走时测量与反演相结合的固体温度场重建方法。根据测得的瞬态超声传播时间，直接求解声热耦合反问题，估计未知等效热流。然后，通过计算相应的热传导问题，可以准确地重构内部温度场的时空分布。通过对两种典型的热流函数形式的估计，模拟分析其精度和影响因素。通过对钢板先加热后冷却的瞬态验证实验和文献中的稳态实验，分析了该方法的可行性和误差。结果表明，与以往的方法相比，该方法能够更准确有效地预测非均匀温度场的分布。该方法有望成为固体结构温度分布无损检测的有效方法。