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

doi:10.1007/s11465-019-0539-9

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 GAO^1,², Wei SUN^1,²(

)

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 Author(s): 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:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-019-0539-9
https://academic.hep.com.cn/fme/EN/Y2019/V14/I3/358

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

Order	$f E$ /Hz	$f A$ /Hz	$\| f A − f E \| / f A$	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	$f E$ /Hz	$f A$ /Hz	$\| f A − f E \| / f A$	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	$H E$ /(m?s^?1?N^?1)	$H A$ /(m?s^?1?N^?1)	$\| H A − H E \| / H A$	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	$H E$ /(m?s^?1?N^?1)	$H A$ /(m?s^?1?N^?1)	$\| H A − H E \| / H A$	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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