In-situ measurement-based transfer path analysis (TPA)
method for gear systems
1. Methods:
This MATLAB code can reproduce some results in: “Fault tracing of gear systems: An in-situ
measurement-based transfer path analysis method” [1]. This paper focuses on transfer path analysis
(TPA) for gear systems. A virtual decoupling method is proposed to realize the in-situ
measurement-based TPA. An identification of the bearing force is performed based on the
Tikhonov regularization theory.
A gear dynamic model is adopted as the numerical example to illustrate the procedure of the
transfer path analysis. Details about the proposed TPA algorithm can be seen in Ref. [1]. The
complementary information of the time-varying mesh stiffness and dynamic modelling can be seen
in Refs. [2, 3].
[1] Y.F. Huangfu, X.J. Dong, X.L. Yu, K.K. Chen, Z.W. Li, Z.K. Peng, Fault tracing of gear systems: An in-situ
measurement-based transfer path analysis method, Journal of Sound and Vibration 553 (2023) 117610.1-26.
[2] K.K. Chen, Y.F. Huangfu, H. Ma, Z.T. Xu, X. Li, B.C. Wen, Calculation of mesh stiffness of spur gears
considering complex foundation types and crack propagation paths, Mechanical Systems and Signal
Processing 130 (2019) 273-292.
[3] Y.F. Huangfu, K.K. Chen, H. Ma, X. Li, H.Z. Han, Z.F. Zhao, Meshing and dynamic characteristics analysis
of spalled gear systems: A theoretical and experimental study, Mechanical Systems and Signal Processing
139 (2020) 106640.1-21.
2. Codes:
Due to the confidentiality of the experimental data, only the numerical example is involved
(Section 2.3). Two main functions are involved in this code package:
Fig3.m: FRF through the virtual decoupling method
Fig4and5.m: Identified bearing force and the transfer path-based signal decomposition
