The paper integrates the modal avoidance method, pedestal design method, and dynamic vibration absorber theory to investigate vibration control technology for offshore platform plate structures. We develop an integrated design method for vibration suppression by controlling the vibration excitation load, vibration transmission, and vibration energy dissipation. Firstly, a modal avoidance design is implemented to suppress vibration transmission along the propagation path of the plate structure. Subsequently, pedestal optimization is conducted for pedestal structure to attenuate vibration excitation at the input end. Finally, dynamic vibration absorber theory is employed to control dominant vibration frequency responses further and achieve multi-target vibration control. Case simulation results demonstrate that the integrated design method reduces the acceleration vibrations level at 113.75, 145.61, and 153 Hz, and this method could guide multi-objective vibration control in offshore platform plate structures.
LiFZhouDMaJ, et al. Wind load simulation and dynamic response analysis on a semi-submersible platform under environmental wind and wave loads. J Vib Shock2017; 36(18): 112–117.
2.
WuJXiaLJinX, et al. Comparison between new and old versions of vibration standards ISO 6954. J Vib Shock2012; 31(10): 177–182.
3.
RanjbarMMarburgSHardtkeHJ.Structural-acoustic optimization of a rectangular plate: a tabu search approach. Finite Elem Anal Des2012; 50: 142–146.
4.
DaiLGuanZShanJ, et al. 3D parameterized shape optimization design for machine tool mechanism. Chinese J Mech Eng2008; 44(05): 152–159.
5.
DengZGaoSHuY. Low noise design of car body based on topology optimization analysis. J Vib Shock2008; 27(11): 168–172.
6.
BendsøeMPKikuchiN. Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng1988; 71(2): 197–224.
7.
MaalawiKYNegmHM. Optimal frequency design of wind turbine blades. J Wind Eng Ind Aerodynamics2002; 90(8): 961–986.
8.
LuZHaoZYangC, et al. Low noise design of a gear-cover based on modal analysis and topology optimization. J Vib Shock2010; 10(29): 1–6.
9.
VijayachandranAAWaasAM. Optimized creasing pattern for maximizing natural frequencies of a thin elastic plate. J Sound Vib2023; 542.
10.
YuYWeiMYuJ, et al. Reliability-based design method for marine structures combining topology, shape, and size optimization. Ocean Eng2023; 286: 115490.
11.
MejdiAAtallaN.Dynamic and acoustic response of bidirectionally stiffened plates with eccentric stiffeners subject to airborne and structure-borne excitations. J Sound Vib2010; 329(21): 4422–4439.
12.
SahooPRBarikM. Free vibration analysis of stiffened plates. J Vib Eng Technol2020; 8(6): 869–882.
13.
XiaoHShengMZhaoZ. An analytic solution for a beam with arbitrarily distributed spring-mass systems under elastic boundary condition. Eng Mech2012; 29(9): 318–323.
14.
RenHShengM. The average radiation efficiency of a rectangular stiffened thin plate. J Vib Shock2016; 35(20): 167–171.
15.
EisenbergerMGodoyLA. Navier type exact analytical solutions for vibrations of thin-walled shallow shells with rectangular planform. Thin-Walled Struct2021; 160: 107356. DOI: 10.1016/j.tws.2020.107356
16.
EisenbergerMDeutschA. Solution of thin rectangular plate vibrations for all combinations of boundary conditions. J Sound Vib2019; 452: 1–12.
17.
LiRZhongYTianB.On new symplectic superposition method for exact bending solutions of rectangular cantilever thin plates. Mech Res Commun2011;38(2): 111–116.
18.
QiuYLiTZhuX, et al. The free vibration characteristics analysis of a rectangular plate with central opening using in arbitrary boundary conditions. Zhendong yu Chongji/Journal of Vibration and Shock2017; 36(20): 112–117.
19.
LinTRZhangK. An analytical study of the free and forced vibration response of a ribbed plate with free boundary conditions. J Sound Vib2018; 422: 15–33.
20.
HuG, C. M.AustinASorokinV, et al. Metamaterial beam with graded local resonators for broadband vibration suppression. Mech Syst Signal Process2021; 146. DOI: 10.1016/j.ymssp.2020.106982
21.
LowKH.Natural frequencies of a beam–mass system in transverse vibration: Rayleigh estimation versus eigenanalysis solutions. Int J Mech Sci2003; 45(6–7): 981–993.
22.
ChoT.Vibro-acoustic characteristics of floating floor system: the influence of frequency-matched resonance on low frequency impact sound. J Sound Vib2013; 332(1): 33–42.
23.
LiuHMaQLiY, et al. Vibration control of a marine centrifugal pump using floating raft isolation system. J Low Freq Noise Vib Active Control2020; 39(2): 382–392.
24.
BreeuwerRTukkerJC.Resilient mounting systems in buildings. Appl Acoust1976; 9(2): 77–101.
25.
PeterssonBPluntJ. On effective mobilities in the prediction of structure-borne sound transmission between a source structure and a receiving structure, part II: procedures for the estimation of mobilities. J Sound Vib1982; 82(4): 531–540.
26.
CremerLHecklMPeterssonB.Structure-borne sound: structural vibrations and sound radiation at audio frequencies. 2005. DOI: 10.1007/b137728.
27.
PinningtonRJWhiteRG. Power flow through machine isolators to resonant and non-resonant beams. J Sound Vib1981; 75(2): 179–197.
28.
PangFZJinYQYaoXL.APDL based vibration optimization of a ship foundation. Adv Mater Res2011; 338: 525–529.
29.
DingKWangYWeiY.Influence of thrust bearing pedestal form on vibration and radiated noise of submarine. J Ship Mech2013; 17(3): 306–312.
30.
YunKSYounSK. Multi-material topology optimization of viscoelastically damped structures under time-dependent loading. Finite Elem Anal Des2017; 123: 9–18.
31.
ZhangCZengZJiC. Structure design of the ship pedestal based on topology optimization. In: 8th international conference on computational methods in marine engineering, MARINE 2019, 2019, pp.754–770.
32.
ZhaoXLiYYuanY, et al. Study of L-extension type ship vibration isolation pedestal based on impedance mismatch principle. Chin J -sh Res2021; 16(3): 144–151.
33.
XiangwenZDeqingYGuangmingW.A vibration and shock isolation synthesis design method for hybrid base. J Vib Shock2016; 35(20): 130–136.
34.
WangYYangD. Mass-stiffness-damping integrated design method for the acoustic optimization of mountings. J Vib Shock2021; 40(6): 257–264.
35.
XiongFLiYWangC.Experiment and analysis of active vibration isolation system based on rigid pedestal using SDOF actuator. J Vibroengineering2022; 24(6): 1072–1081.
36.
KangYDeqingYBinghongW.Impedance optimization design of base structures with high transmission loss. J Vib Shock2019; 38(6): 7–14.
37.
YuyanWDeqingY. Mass-stiffness-damping integrated design method for the acoustic optimization of mountings. J Vib Shock2021; 40(6): 257–264.
38.
BazARoJ. Vibration control of plates with active constrained layer damping. Smart Mater Struct1996; 5(3): 272–280.
39.
KorkmazS.A review of active structural control: challenges for engineering informatics. Comput Struct2011; 89(23–24): 2113–2132.
40.
SarrafanAZarehSHKhayyatAAA, et al. Neuro-fuzzy control strategy for an offshore steel jacket platform subjected to wave-induced forces using magnetorheological dampers. J Mech Sci Technol2012; 26(4): 1179–1196.
41.
CoudurierCLepreuxOPetitN.Passive and semi-active control of an offshore floating wind turbine using a tuned liquid column damper. IFAC-PapersOnLine2015; 48(16): 241–247.
42.
RahmanMOngZCChongWT, et al. Performance enhancement of wind turbine systems with vibration control: a review. Renew Sustain Energ Rev2015; 51: 43–54.
43.
SpencerBFSainMK. Controlling buildings: a new frontier in feedback. Shock Vib Dig1998; 30(4): 267–281.
44.
LeeHH.Stochastic analysis for offshore structures with added mechanical dampers. Ocean Eng1997; 24(9): 817–834.
45.
TaflanidisAAAngelidesDCScruggsJT.Simulation-based robust design of mass dampers for response mitigation of tension leg platforms. Eng Struct2009; 31(4): 847–857.
46.
SiYKarimiHRGaoH.Modelling and optimization of a passive structural control design for a spar-type floating wind turbine. Eng Struct2014; 69: 168–182.
47.
VandiverJKMitomeS.Effect of liquid storage tanks on the dynamic response of offshore platforms. Appl Ocean Res1979; 1(2): 67–74.
48.
JinQLiXSunN, et al. Experimental and numerical study on tuned liquid dampers for controlling earthquake response of jacket offshore platform. Mar Struct2007; 20(4): 238–254.
49.
ZhuXChenZJiaoY.Optimizations of distributed dynamic vibration absorbers for suppressing vibrations in plates. J Low Freq Noise Vib Active Control2018; 37(4): 1188–1200.
50.
DuYWangSSunL, et al. Free vibration of rectangular plates with porosity distributions under complex boundary constraints. Shock Vib2019; 2019(1): 16.
51.
DuYPangFSunL, et al. A unified formulation for dynamic behavior analysis of spherical cap with uniform and stepped thickness distribution under different edge constraints. Thin-Walled Struct2020; 146: 106445.
52.
LiHWuSChenQ, et al. Design of dynamic absorbers to control the flexural resonant vibration of structures characterized by multiple natural modes. J Sound Vib2021; 513: 116415.
53.
RazeGKerschenG. H∞optimization of multiple tuned mass dampers for multimodal vibration control. Comput Struct2021; 248: 106485.
54.
HsiaSCHsuCY. Real-time monitor and control system for abnormal motor vibrations. IEEE Trans Instrum Meas2024; 73: 1–11.
55.
ChenJLouMTianlinW.Offshore oil platform design. Beijing: Petroleum Industry Press, 2015.
56.
LiZ.Offshore Engineering Structure. Harbin: Harbin Engineering University Press; 1999.
57.
PlantWJ.Short wind waves on the ocean: wavenumber-frequency spectra. J Geophys Res Oceans2015; 120(3): 2147–2158.
58.
ToffoliABitner-GregersenEM. Encyclopedia Of Maritime and Offshore Engineering (Section: Types of Ocean Surface Waves, Wave Classification). 2017. DOI: 10.1002/9781118476406.emoe077.
59.
LiuYLuZYanX, et al. Measurement and modelling of the vibration induced by working equipment on an offshore platform. Ocean Eng2021; 219: 108354.
60.
JiaFXuZWangM.Research of new ship vibration standard of ISO 20283-5. Noise Vib Control2018; 38(02): 239–242.
61.
ShamiTMEl-SalehAAAlswaittiM, et al. Particle swarm optimization: a comprehensive survey. IEEE Access2022; 10: 10031–10061.
62.
YangKYangDWuB. Impedance optimization design of base structures with high transmission loss. J Vib Shock2019; 38(6): 7–14.
