To efficiently perform the topology optimization for stress reduction of the pipeline system, this paper innovatively proposes a parametric finite element modeling (PFEM) method for pipeline systems based on beam/solid coupling. Furthermore, the multiple straight-line segment lengths are selected as the design variables, and a topology optimization method for stress reduction is proposed. For the PFEM, the incompatible solid (Solid-NC) element and three-dimensional (3D) Timoshenko beam element are implied to simulate the mechanical characteristics of the constrained and unconstrained regions of the pipeline, and then the beam/solid element coupling is realized by the penalty function method. The parametric geometric relationship of the pipeline system and the node coordinates of the finite element model are solved by the direction vector and vector decomposition methods, and the PFEM of the pipeline system is achieved and verified by ANSYS. Finally, the stress reduction optimization model of the pipeline system is established, and the stress reduction optimization of an actual pipeline is implemented using the particle swarm algorithm. The optimization results show that the maximum stress response of the optimal pipeline shape is 5.5 times lower than that before optimization, which shows the rationality of the optimization method.
PaïdoussisMP.Dynamics of cylindrical structures in axial flow: a review. J Fluid Struct2021; 107: 103374.
2.
PaïdoussisMP.The dynamics of cantilevered structures subject to axial flow. J Fluid Struct2024; 125: 104075.
3.
JiWMaHSunW, et al. Nonlinear dynamic modeling and analysis of the fluid-transporting cracked pipe using the hybrid semi-analytical and finite element method. Mech Syst Signal Process2024; 216: 111505.
4.
JiWSunWMaH, et al. Dynamic modeling and analysis of fluid-delivering cracked pipeline considering breathing effect. Int J Mech Sci2024; 264: 108805.
5.
JiWSunWWangD, et al. A hybrid finite element and extended transfer matrix method for the dynamic modeling of fluid-conveying pipeline with breathing cracks. Mech Syst Signal Process2024; 212: 111276.
BiKHaoH.Using pipe-in-pipe systems for subsea pipeline vibration control. Eng Struct2016; 109: 75–84.
8.
KiryukhinAVMilmanOOPtakhinAV, et al. Test results of an active system for reducing vibration forces and pressure pulsations. Tech Phys Lett2018; 44(12): 1136–1138.
9.
LiuXSunWGaoZ.Optimization of hoop layouts for reducing vibration amplitude of pipeline system using the semi-analytical model and genetic algorithm. IEEE Access2020; 8: 224394–224408.
10.
WangDSunWGaoZ, et al. Optimization of spatial pipeline with multi-hoop supports for avoiding resonance problem based on genetic algorithm. Sci Prog2022; 105(1): 23.
11.
ZhangZZhouCWangW, et al. Optimization design of aeronautical hydraulic pipeline system based on non-probabilistic sensitivity analysis. Proc IMechE, Part O: J Risk and Reliability2019; 233(5): 815–825.
12.
WangWZhouCGaoH, et al. Application of non-probabilistic sensitivity analysis in the optimization of aeronautical hydraulic pipelines. Struct Multidiscipl Optim2018; 57(6): 2177–2191.
13.
LiuQJiaoG.A pipe routing method considering vibration for aero-engine using Kriging model and NSGA-II. IEEE Access2018; 6: 6286–6292.
14.
JiWSunWWangD, et al. Optimization of aero-engine pipeline for avoiding vibration based on length adjustment of straight-line segment. Front Mech Eng2022; 17(1): 11.
15.
VardyAEFanDTijsselingAS.Fluid-structure interaction in a T-piece pipe. J Fluid Struct1996; 10(7): 763–786.
16.
MaHJiWLiuH, et al. Natural frequencies and stability for Z-shaped fluid-conveying pipes with constrained-layer damping – semi-analytic modeling with experimental validation. Mech Syst Signal Process2024; 214: 111404.
17.
TijsselingASVardyAEFanD.Fluid-structure interaction and cavitation in a single-elbow pipe system. J Fluid Struct1996; 10(4): 395–420.
18.
JiWSunWMaH, et al. A high-precision super element used for the parametric finite element modeling and vibration reduction optimization of the pipeline system. J Vib Eng Technol2024; 12(2): 1177–1193.
19.
CaoYChenWMaH, et al. Dynamic modeling and experimental verification of clamp–pipeline system with soft nonlinearity. Nonlinear Dyn2023; 111(19): 17725–17748.
20.
JiWSunWZhangY, et al. Parametric model order reduction and vibration analysis of pipeline system based on adaptive dynamic substructure method. Structures2023; 50: 689–706.
21.
JiWSunWDuD, et al. Dynamics modeling and stress response solution for liquid-filled pipe system considering both fluid velocity and pressure fluctuations. Thin-Walled Struct2023; 188: 110831.
22.
JiWSunWDuD, et al. Dynamics modeling and vibration transmission visualization of fluid-conveying series pipe system based on FEM-TMM. Ocean Eng2023; 280: 114693.
23.
AchouyabEHBahrarB.Numerical modeling of phenomena of waterhammer using a model of fluid–structure interaction. Comptes Rendus Mécanique2011; 339(4): 262–269.
GarusiETralliA.A hybrid stress-assumed transition element for solid-to-beam and plate-to-beam connections. Comput Struct2002; 80(2): 105–115.
26.
ZengJZhaoCMaH, et al. Dynamic response characteristics of the shaft-blisk-casing system with blade-tip rubbing fault. Eng Fail Anal2021; 125(3): 105406.
27.
HuangfuYZengJMaH, et al. A flexible-helical-geared rotor dynamic model based on hybrid beam-shell elements. J Sound Vib2021; 511: 116361.
28.
MonaghanDJLeeKYArmstrongCG, et al. Mixed dimensional finite element analysis of frame models. In: The tenth international offshore and polar engineering conference, 2000. OnePetro.
29.
YueJGFafitisAQianJ, et al. Application of 1D/3D finite elements coupling for structural nonlinear analysis. J Central South Univ2011; 18(3): 889–897.
30.
ShimKWMonaghanDJArmstrongCG.Mixed dimensional coupling in finite element stress analysis. Eng Comput2002; 18(3): 241–252.
31.
WangDSunWGaoZ, et al. Vibration response analysis and hoop layout optimization of spatial pipeline under random excitation. Aircr Eng Aerosp Technol2022; 94(8): 1242–1251.
32.
ChaiQZengJMaH, et al. A dynamic modeling approach for nonlinear vibration analysis of the L-type pipeline system with clamps. Chin J Aeronaut2020; 33(12): 3253–3265.
33.
Abo-bakrRMMohamedNEltaherMA, et al. Multi-objective optimization for snap-through response of spherical shell panels. Appl Math Model2024; 127: 711–729.
34.
MohamedSAMohamedNAbo-bakrRM, et al. Multi-objective optimization of snap-through instability of helicoidal composite imperfect beams using Bernstein polynomials method. Appl Math Model2023; 120: 301–329.
35.
Abo-bakrHMAbo-bakrRMShanabRA, et al. Optimal material and geometry of 2D-FGM tapered microbeams under dynamic and static constraints. Mech Based Des Struct Mach2024; 52(8): 5227–5262.
36.
Abo-BakrHMAbo-BakrRMMohamedSA, et al. Weight optimization of axially functionally graded microbeams under buckling and vibration behaviors. Mech Based Des Struct Mach2023; 51(1): 213–234.
37.
JiWMaHSunW, et al. Reduced-order modeling and vibration transfer analysis of a fluid-delivering branch pipeline that consider fluid–solid interactions. Front Mech Eng2024; 19(2): 10.
38.
JiWMaHLiuF, et al. Dynamic analysis of cracked pipe elbows: Numerical and experimental studies. Int J Mech Sci2024; 281: 109580.
39.
JiWMaHLiuH, et al. Spectral element-finite element modeling and dynamic analysis of a fluid-delivering cracked pipe subjected to both pulsation and base excitations. Thin-Walled Struct2024; 203: 112242.
