Affiliations: [a] State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, Xi’an, P.R. China | [b] Department of Mechanics, Shandong University of Technology, Zibo, P.R. China
Correspondence:
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Corresponding author: Xinong Zhang, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, PR China. E-mail: xnzhang@mail.xjtu.edu.cn
Abstract: To overcome ill-posed problem of force identification in the Transfer Path Analysis (TPA) of a rocket engine, this paper proposes a novel TPA based on weighted Tikhonov regularization. Firstly, the upper bound of relative force identification error of the traditional TPA is derived. Secondly, weighting matrix and Bayesian theory are adopted to improve the accuracy of force identification, and then the theory of the improved TPA is built. Finally, a ground vibration testing of the rocket engine is performed to analyze its path contributions. The results show that the proposed TPA is more accurate than the traditional TPA.
Keywords: Inverse problem, force identification, transfer path analysis, weighted regularization, Bayesian theory
