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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

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Front. Mech. Eng.    2022, Vol. 17 Issue (1) : 11    https://doi.org/10.1007/s11465-021-0667-x
RESEARCH ARTICLE
Optimization of aero-engine pipeline for avoiding vibration based on length adjustment of straight-line segment
Wenhao JI1,2, Wei SUN1,2(), Donghai WANG1,2, Zhonghua LIU3
1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
2. Key Laboratory of Vibration and Control of Aero-Propulsion Systems Department of Education of China, Northeastern University, Shenyang 110819, China
3. Shenyang Area 2nd Military Representative Room of Air Force Equipment Department, Shenyang 110043, China
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Abstract

In the design and troubleshooting of aero-engine pipeline, the vibration reduction of the pipeline system is often achieved by adjusting the hoop layout, provided that the shape of pipeline remains unchanged. However, in reality, the pipeline system with the best antivibration performance may be obtained only by adjusting the pipeline shape. In this paper, a typical spatial pipeline is taken as the research object, the length of straight-line segment is taken as the design variable, and an innovative optimization method of avoiding vibration of aero-engine pipeline is proposed. The relationship between straight-line segment length and parameters that determine the geometric characteristics of the pipeline, such as the position of key reference points, bending angle, and hoop position, are derived in detail. Based on this, the parametric finite element model of the pipeline system is established. Taking the maximum first-order natural frequency of pipeline as the optimization objective and introducing process constraints and vibration avoidance constraints, the optimization model of the pipeline system is established. The genetic algorithm and the golden section algorithm are selected to solve the optimization model, and the relevant solution procedure is described in detail. Finally, two kinds of pipelines with different total lengths are selected to carry out a case study. Based on the analysis of the influence of straight-line segment length on the vibration characteristics of the pipeline system, the optimization methods developed in this paper are demonstrated. Results show that the developed optimization method can obtain the optimal single value or interval of the straight-line segment length while avoiding the excitation frequency. In addition, the optimization efficiency of the golden section algorithm is remarkably higher than that of the genetic algorithm for length optimization of a single straight-line segment.
Keywords length adjustment      spatial pipeline      aero-engine      vibration avoidance optimization      genetic algorithm      golden section algorithm     
Corresponding Author(s): Wei SUN   
About author: Mingsheng Sun and Mingxiao Yang contributed equally to this work.
Issue Date: 24 April 2022
 Cite this article:   
Wenhao JI,Wei SUN,Donghai WANG, et al. Optimization of aero-engine pipeline for avoiding vibration based on length adjustment of straight-line segment[J]. Front. Mech. Eng., 2022, 17(1): 11.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-021-0667-x
https://academic.hep.com.cn/fme/EN/Y2022/V17/I1/11
Fig.1  Parametric modeling idea of pipeline system.
Fig.2  Procedure of finite element modeling for pipeline system.
Fig.3  Schematic diagram for derivation of parametric relations of spatial pipeline.
Fig.4  Schematic diagram of geometric parameter extraction of spatial pipeline CAD model. (a) Initial model, (b) auxiliary plane 1, (c) auxiliary plane 2.
Fig.5  Geometric model of pipeline with different straight-line segment lengths created in ANSYS.
Fig.6  Installation type and the mechanical characteristics simulation of hoop. (a) Installation type of hoop, (b) mechanical characteristics simulation of hoop with spring element pair.
Fig.7  Parametric finite element models of pipeline system with different straight-line segment lengths.
Fig.8  Solution procedure of straight-line segment adjustment optimization based on genetic algorithm.
Fig.9  Solution procedure of straight-line segment adjustment optimization based on golden section algorithm.
Fig.10  Schematic diagram of determining optimal straight-line segment length by golden section algorithm.
Total length of pipeline L∑/mm Coordinates of reference points
Point 1 Point 2 Point 3 Point 4 Point 5
600 (0, 0, 0) (200, 0, 0) (200, ?103.9, ?60) (200, ?267.9, ?60) (327, ?267.9, ?60)
660 (0, 0, 0) (200, 0, 0) (200, ?69.3, ?40) (200, ?269.3, ?40) (400, ?269.3, ?40)
Tab.1  Reference point coordinates of reference pipeline shape
Total length of pipeline L∑/mm Lb1/mm Lb2/mm H/mm R/mm Lr1/mm Lr2/mm
600 200 120 60 24 7 14
660 200 80 40 24 7 14
Tab.2  Geometric parameters of reference pipeline shape
Pipe number L∑ ≈ 600 mm L∑ ≈ 660 mm
Straight-line segment length L1/mm Natural frequency f1/Hz Straight-line segment length L1/mm Natural frequency f1/Hz
1 200 184.28 200 183.16
2 190 203.32 190 192.92
3 180 219.26 180 196.90
4 170 234.37 150 198.92
5 160 246.62 120 199.50
6 150 253.74 115 199.54
7 140 257.70 106 199.54
8 130 257.23 100 199.27
Tab.3  First-order natural frequencies corresponding to different straight-line segment lengths
Total length of pipeline L∑/mm Optimization algorithm Calculating time/s
600 Genetic algorithm 1015.03
Golden section algorithm 330.09
660 Genetic algorithm 1435.69
Golden section algorithm 142.64
Tab.4  Comparison of time consumed by genetic algorithm and golden section algorithm
Fig.11  Iterative process for L∑ ≈ 600 mm based on genetic algorithm and golden section algorithm. (a) Evolutionary process, (b) golden section process.
Fig.12  Iterative process for L∑ ≈ 600 mm based on genetic algorithm and golden section algorithm. (a) Evolutionary process, (b) golden section process.
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