RESEARCH ARTICLE

Inverse identification of the mechanical parameters of a pipeline hoop and analysis of the effect of preload

  • Ye GAO 1,2 ,
  • Wei SUN , 1,2
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  • 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

Received date: 10 Mar 2019

Accepted date: 06 Apr 2019

Published date: 15 Sep 2019

Copyright

2019 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature

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.

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]. Frontiers of Mechanical Engineering, 2019 , 14(3) : 358 -368 . DOI: 10.1007/s11465-019-0539-9

Acknowledgements

This work was supported by the Fundamental Research Funds for the Central Universities of China (Grant No. N170308028).
1
Xu Y, Johnston D N, Jiao Z, . Frequency modelling and solution of fluid-structure interaction in complex pipelines. Journal of Sound and Vibration, 2014, 333(10): 2800–2822

DOI

2
Li X, Wang S, Liang R. Modal analysis of two typical fluid-filled pipes in aircraft. In: Proceedings of 2011 International Conference on Fluid Power and Mechatronics. Beijing: IEEE, 2011, 462–466

DOI

3
Gao P, Zhai J, Yan Y, . A model reduction approach for the vibration analysis of hydraulic pipeline system in aircraft. Aerospace Science and Technology, 2016, 49: 144–153

DOI

4
Liu G, Li Y. Vibration analysis of liquid-filled pipelines with elastic constraints. Journal of Sound and Vibration, 2011, 330(13): 3166–3181

DOI

5
Tang Z, Lu Z, Li D, . Optimal design of the positions of the hoops for a hydraulic pipelines system. Nuclear Engineering and Design, 2011, 241(12): 4840–4855

DOI

6
Zachwieja J. Pipeline stress analysis under supporting structure vibrations. Diagnostyka, 2017, 18(2): 23–30

7
Finnveden S. Spectral finite element analysis of the vibration of straight fluid-filled pipes with flanges. Journal of Sound and Vibration, 1997, 199(1): 125–154

DOI

8
Li S, Liu G, Kong W. Vibration analysis of pipes conveying fluid by transfer matrix method. Nuclear Engineering and Design, 2014, 266: 78–88

DOI

9
Bi K, Hao H. Using pipe-in-pipe systems for subsea pipeline vibration control. Engineering Structures, 2016, 109: 75–84

DOI

10
Zhou C, Zhang Z, Liu F, . Sensitivity analysis for probabilistic anti-resonance design of aeronautical hydraulic pipelines. Chinese Journal of Aeronautics, 2019, 32(4): 948–953

DOI

11
Liao M, Zhou Y, Su Y, . Dynamic analysis and multi-objective optimization of an offshore drilling tube system with pipe-in-pipe structure. Applied Ocean Research, 2018, 75: 85–99

DOI

12
Schrötter M, Trebuňa F, Hagara M, . Methodology for experimental analysis of pipeline system vibration. Procedia Engineering, 2012, 48: 613–620

DOI

13
Ulanov A M, Bezborodov S A. Calculation method of pipeline vibration with damping supports made of the MR material. Procedia Engineering, 2016, 150: 101–106

DOI

14
Bezborodov S A, Ulanov A M. Calculation of vibration of pipeline bundle with damping support made of MR Material. Procedia Engineering, 2017, 176: 169–174

DOI

15
Ulanov A M, Bezborodov S A. Research of stress-strained state of pipelines bundle with damping support made of MR material. Procedia Engineering, 2017, 206: 3–8

DOI

16
Lazutkin G V, Boyarov K V, Davydov D P, . Design of elastic-damping supports made of MR material for pipeline supports. Procedia Engineering, 2017, 176: 326–333

DOI

17
Martinez-Agirre M, Elejabarrieta M J. Dynamic characterization of high damping viscoelastic materials from vibration test data. Journal of Sound and Vibration, 2011, 330(16): 3930–3943

DOI

18
Kim S Y, Lee D H. Identification of fractional-derivative-model parameters of viscoelastic materials from measured FRFs. Journal of Sound and Vibration, 2009, 324(3‒5): 570–586

DOI

19
Sun W, Wang Z, Yan X, . Inverse identification of the frequency-dependent mechanical parameters of viscoelastic materials based on the measured FRFs. Mechanical Systems and Signal Processing, 2018, 98: 816–833

DOI

20
Li K, Liu J, Han X, . Identification of oil-film coefficients for a rotor-journal bearing system based on equivalent load reconstruction. Tribology International, 2016, 104: 285–293

DOI

21
Liu J, Hu Y, Xu C, . Probability assessments of identified parameters for stochastic structures using point estimation method. Reliability Engineering & System Safety, 2016, 156: 51–58

DOI

22
Liu J, Cai H, Jiang C, . An interval inverse method based on high dimensional model representation and affine arithmetic. Applied Mathematical Modelling, 2018, 63: 732–743

DOI

23
Liu J, Meng X, Xu C, . Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions. Computer Methods in Applied Mechanics and Engineering, 2018, 342: 287–320

DOI

24
Mandal B, Chakrabarti A. Numerical failure assessment of multi-bolt FRP composite joints with varying sizes and preloads of bolts. Composite Structures, 2018, 187: 169–178

DOI

25
Zhao G, Xiong Z, Jin X, . Prediction of contact stiffness in bolted interface with natural frequency experiment and FE analysis. Tribology International, 2018, 127: 157–164

DOI

26
Zhang D, Scarpa F, Ma Y, Compression mechanics of nickel-based superalloy metal rubber. Materials Science & Engineering: A, 2013, 580(37): 305–312

DOI

27
Zhang D, Scarpa F, Ma Y, . Dynamic mechanical behavior of nickel-based superalloy metal rubber. Materials & Design, 2014, 56(4): 69–77

DOI

28
Koo G H, Park Y S. Vibration reduction by using periodic supports in a piping system. Journal of Sound and Vibration, 1998, 210(1): 53–68

DOI

29
Zanganeh R, Ahmadi A, Keramat A. Fluid-structure interaction with viscoelastic supports during waterhammer in a pipeline. Journal of Fluids and Structures, 2015, 54: 215–234

DOI

30
Lin R M. Function-weighted frequency response function sensitivity method for analytical model updating. Journal of Sound and Vibration, 2017, 403: 59–74

DOI

31
Fox R L, Kapoor M P. Rates of change of eigenvalues and eigenvectors. AIAA Journal, 1968, 6(12): 2426–2429

DOI

32
Mottershead J E, Link M, Friswell M I. The sensitivity method in finite element model updating: A tutorial. Mechanical Systems and Signal Processing, 2011, 25(7): 2275–2296

DOI

33
Link M. Updating of Analytical Models—Basic Procedures and Extensions. Dordrecht: Springer, 1999

DOI

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