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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.

Keywords inverse identification      pipeline hoop      frequency response function      mechanical parameters      preload     
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.
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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
Outer diameter /mm Inner diameter/mm Length/mm Young’s modulus/GPa Density/(kg?m?3) Poisson’s ratio
8 7.2 500 199 7850 0.3
Tab.1  Material and geometric parameters of the pipe body
Index Main instruments Function
1 LMS SCADAS mobile front end Vibration data acquisition
2 LMS Test lab mobile workstation Vibration data analysis
3 Polytec PDV-100 laser vibrometer Transmission of speed signal
4 PCB 8206-001 54627 exciting hammer Provision of impulse excitation
Tab.2  Main instruments used in the test
Order fE/Hz fA/Hz |f A fE |/fA Support stiffness k/(106 N?m?1)
1 187.06 187.0600 0.00000458% 1.546310
2 528.09 528.0900 0.00001011% 1.739417
3 1027.43 1027.4299 0.00001372% 1.789631
4 1721.57 1721.5700 0.00000144% 1.839940
5 2627.19 2627.1903 0.00001970% 1.972448
Tab.3  Support stiffness in the y direction corresponding to the first five natural frequencies
Order fE/Hz fA/Hz |f A fE |/fA Support stiffness k/(106 N?m?1)
1 168.82 168.8200 0.00000898% 1.416912
2 487.65 487.6500 0.00001528% 1.536885
3 987.27 982.2700 0.00000015% 1.585530
4 1562.27 1562.2680 0.00002608% 1.787305
5 2589.93 2589.9299 0.00000536% 1.919164
Tab.4  Support stiffness in the z direction corresponding to the first five natural frequencies
Order HE/(m?s?1?N?1) HA/(m?s?1?N?1) |H A HE |/HA Support damping c/(N?s?m?1)
1 0.20318 0.203183 0.0001322% 1253.8011
2 0.05697 0.056971 0.0001713% 224.8610
3 0.08786 0.087864 0.0005820% 123.1955
4 0.11857 0.118574 0.0002053% 22.7704
5 0.06298 0.062985 0.0002233% 27.3522
Tab.5  Support damping in the y direction
Order HE/(m?s?1?N?1) HA/(m?s?1?N?1) |H A HE |/HA Support damping c/(N?s?m?1)
1 0.22217 0.222172 0.0000539% 1231.3220
2 0.11743 0.117434 0.0000235% 123.9379
3 0.29744 0.297441 0.0000007% 31.0877
4 0.13908 0.139082 0.0000303% 46.2537
5 0.05174 0.051741 0.0001514% 43.0297
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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