Research on the uniqueness and algorithm of multi-parameter identification in coupling thermal acoustic and solid problem

Abstract

<p indent="0mm">In the coupled thermal-acoustic solid field, we consider the identification problem of initial boundary value from the boundary measurements of temperature and ultrasonic propagation time to reconstruct the boundary heat flux and thickness of a solid structure simultaneously. Through rigorous theoretical analysis, the uniqueness of the simultaneous identification is demonstrated, which provides theoretical support for engineering applications. By reformulating an inverse problem as an optimization problem and deriving the adjoint equation, we propose an efficient alternating iteration algorithm for solving the inverse problem. Rigorous convergence analysis of the proposed algorithm is performed. Finally, the reliability and feasibility of the algorithm are verified via numerical examples, and the algorithm’s accuracy is verified by comparing it with a single-parameter identification algorithm that only identifies heat flux.