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# Frontiers of Mechanical Engineering

 Front. Mech. Eng.    2019, Vol. 14 Issue (3) : 358-368     https://doi.org/10.1007/s11465-019-0539-9
 RESEARCH ARTICLE
Inverse identification of the mechanical parameters of a pipeline hoop and analysis of the effect of preload
Ye GAO1,2, Wei SUN1,2()
1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
2. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819, China
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 Abstract To create a dynamic model of a pipeline system effectively and analyze its vibration characteristics, the mechanical characteristic parameters of the pipeline hoop, such as support stiffness and damping under dynamic load, must be obtained. In this study, an inverse method was developed by utilizing measured vibration data to identify the support stiffness and damping of a hoop. The procedure of identifying such parameters was described based on the measured natural frequencies and amplitudes of the frequency response functions (FRFs) of a pipeline system supported by two hoops. A dynamic model of the pipe-hoop system was built with the finite element method, and the formulas for solving the FRF of the pipeline system were provided. On the premise of selecting initial values reasonably, an inverse identification algorithm based on sensitivity analysis was proposed. A case study was performed, and the mechanical parameters of the hoop were identified using the proposed method. After introducing the identified values into the analysis model, the reliability of the identification results was validated by comparing the predicted and measured FRFs of the pipeline. Then, the developed method was used to identify the support stiffness and damping of the pipeline hoop under different preloads of the bolts. The influence of preload was also discussed. Results indicated that the support stiffness and damping of the hoop exhibited frequency-dependent characteristics. When the preloads of the bolts increased, the support stiffness increased, whereas the support damping decreased. Corresponding Authors: Wei SUN Just Accepted Date: 24 May 2019   Online First Date: 08 July 2019    Issue Date: 24 July 2019
 Cite this article: Ye GAO,Wei SUN. Inverse identification of the mechanical parameters of a pipeline hoop and analysis of the effect of preload[J]. Front. Mech. Eng., 2019, 14(3): 358-368. URL: http://journal.hep.com.cn/fme/EN/10.1007/s11465-019-0539-9 http://journal.hep.com.cn/fme/EN/Y2019/V14/I3/358
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 Fig.1  Structure of an aeroengine pipeline hoop. (a) Sketch; (b) actual structure Fig.2  Pipeline system supported by two hoops Fig.3  Procedure of identifying the support stiffness and damping of the hoop. FE: Finite element Fig.4  Pipe element Fig.5  FEM of the pipeline system Fig.6  FEM of the pipe body Tab.1  Material and geometric parameters of the pipe body Tab.2  Main instruments used in the test Tab.3  Support stiffness in the y direction corresponding to the first five natural frequencies Tab.4  Support stiffness in the z direction corresponding to the first five natural frequencies Tab.5  Support damping in the y direction Tab.6  Support damping in the z direction Fig.7  Comparison of measured and simulated FRFs Fig.8  Support stiffness change curves of the hoop under different tightening torques in the y direction Fig.9  Support stiffness change curves of the hoop under different tightening torques in the z direction Fig.10  Support damping change curves of the hoop under different tightening torques in the y direction Fig.11  Support damping change curves of the hoop under different tightening torques in the z direction
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