大小叶盘-硬涂层阻尼结构的解析建模和振动分析
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摘要
对叶片涂敷Ni Co Cr Al Y+YSZ硬涂层,研究具有硬涂层的大小叶盘的动力学模型和振动特性,主要研究硬涂层对大小叶盘的阻尼减振性能的影响.首先,利用复模量理论和Oberst梁理论,建立了涂层大小叶盘结构的解析模型;然后,基于Gram-Schmidt法和Rayleigh-Ritz法,求解涂层大小叶盘结构的模态特性和受迫响应.结果表明:硬涂层阻尼对大小叶盘固有频率的影响很小,但能使模态损耗因子提高4倍,说明硬涂层可以有效提高大小叶盘的阻尼性能;此外,涂敷硬涂层可以有效抑制其受迫响应.
The blades were coated with NiCoCrAlY + YSZ,then the dynamic model and vibration characteristics of the hard-coated splitter blisk were investigated,as well as the effect of hard coating on damping vibration reduction of the splitter blisk.Firstly,analytical model of the hardcoated splitter blisk was obtained using the complex modulus and the Oberst beam theories.The mode characteristics and forced responses of the hard-coated splitter blisk were then solved using the Gram-Schmidt process and Rayleigh-Ritz method.The results reveal that hard coating has a weak effect on natural frequencies of splitter blisk but makes the modal loss factors increase about four times,which explains that hard coating can effectively improve the damping performance of the splitter blisk.Moreover,the forced response can be suppressed remarkably.
The blades were coated with NiCoCrAlY + YSZ,then the dynamic model and vibration characteristics of the hard-coated splitter blisk were investigated,as well as the effect of hard coating on damping vibration reduction of the splitter blisk.Firstly,analytical model of the hardcoated splitter blisk was obtained using the complex modulus and the Oberst beam theories.The mode characteristics and forced responses of the hard-coated splitter blisk were then solved using the Gram-Schmidt process and Rayleigh-Ritz method.The results reveal that hard coating has a weak effect on natural frequencies of splitter blisk but makes the modal loss factors increase about four times,which explains that hard coating can effectively improve the damping performance of the splitter blisk.Moreover,the forced response can be suppressed remarkably.
引文
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[16]Ganvir A,Markocsan N,Joshi S.Influence of isothermal heat treatment on porosity and crystallite size in axial suspension plasma sprayed thermal barrier coatings for gas turbine applications[J].Coatings,2016,7(1):4-27.
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[18]Sun W,Liu Y.Vibration analysis of hard-coated composite beam considering strain dependent characteristic of coating material[J].Acta Mechanica Sinica,2016,32(4):731-742.
[19]Zhang Y,Sun W,Yang J,et al.Nonlinear vibration analysis of a hard-coating cylindrical shell with elastic constraints by finite element method[J].Nonlinear Dynamics,2017,90(4):2879-2891.
[20]Sanliturk K Y,Koruk H.Development and validation of a composite finite element with damping capability[J].Composite Structures,2013,97:136-146.
[21]王娇.叶片阻尼结构的振动分析方法及其阻尼抑振效果研究[D].沈阳:东北大学,2013.(Wang Jiao.Research on vibration analysis methods and vibration suppression effect of damping structure of blade[D].Shenyang:Northeastern University,2013.)
[22]Jin G,Yang C,Liu Z.Vibration and damping analysis of sandwich viscoelastic-core beam using Reddy's higher-order theory[J].Composite Structures,2016,140:390-409.
[2]Yang W,Xiao R F,Wang F J,et al.Influence of splitter blades on the cavitation performance of a double suction centrifugal pump[J].Advances in Mechanical Engineering,2014,6:963197.
[3]Kassanos I,Anagnostopoulos J,Papantonis D.Numerical analysis of the effect of splitter blades on draft tube cavitation of a low specific speed Francis turbine[C/OL]//6th IAHRInternational Meeting of the Workgroup on Cavitation and Dynamic Problems in Hydraulic Machinery and Systems.Ljubljana,Slovenia,2015[2017-10-21].http://iahrwg2015.si/files/papers/1_Numerical_and_experimental_investigation_on_cavitating_flows/IAHR__WG_15_1_7_KASSANOS.pdf.
[4]Guo X M,Zhu L H,Zhu Z C,et al.Numerical and experimental investigations on cavitation characteristics of a high-speed centrifugal pump with a splitter-blade inducer[J].Journal of Mechanical Science and Technology,2015,29(1):259-267.
[5]Korkmaz E,G9lcüM,Kurbanoˇglu C.Effects of blade discharge angle,blade number and splitter blade length on deep well pump performance[J].Journal of Applied Fluid Mechanics,2017,10(2):529-540.
[6]Torshizi S A M,Benisi A H,Durali M.Multilevel optimization of the splitter blade profile in the impeller of a centrifugal compressor[J].Scientia Iranica,2017,24(2):707-714.
[7]Zhao P F,Zhang Q,Wu J,et al.Experimental study of dynamic characteristics of dry friction damping of turbine blade steel[J].Advanced Materials Research,2013,690/691/692/693:1979-1982.
[8]Li G,Zhang Q,Zhao W,et al.Dynamic response analysis of blades with damping structures of shroud and snubber[C]//First International Conference on Information Sciences,Machinery,Materials and Energy.[S.l.]:Atlantis Press,2015:281-284.
[9]He B,Ouyang H,Ren X,et al.Dynamic response of a simplified turbine blade model with under-platform dry friction dampers considering normal load variation[J/OL].Applied Sciences,2017,7(3):228[2017-9-25].https://www.mdpi.com/2076-3417/7/3/228/htm.
[10]Ghaderi A A,Mohammadzadeh A,Bahrami M N.Optimum design of damped vibration absorber for viscoelastic bladed disk assemblies[J].Mechanics,2015,21(6):465-471.
[11]Meng J,Sun D.Research on vibration suppression of wind turbine blade based on bamboo wall three-layer damping structure[J].Journal of Vibroengineering,2017,19(1):87-99.
[12]Zhou B,Thouverez F,Lenoir D.An adaptive control strategy based on passive piezoelectric shunt techniques applied to mistuned bladed disks[J].Journal of Computational and Applied Mathematics,2013,246:289-300.
[13]Alsayed E Z,Hariri I,Nakashima S,et al.Effects of coating materials on nano-indentation hardness of enamel and adjacent areas[J].Dental Materials,2016,32(6):807-816.
[14]Shao F,Yang K,Zhao H,et al.Effects of inorganic sealant and brief heat treatments on corrosion behavior of plasma sprayed Cr2O3-Al2 O3 composite ceramic coatings[J].Surface and Coatings Technology,2015,276:8-15.
[15]Stathopoulos V,Sadykov V,Pavlova S,et al.Design of functionally graded multilayer thermal barrier coatings for gas turbine application[J].Surface and Coatings Technology,2016,295:20-28.
[16]Ganvir A,Markocsan N,Joshi S.Influence of isothermal heat treatment on porosity and crystallite size in axial suspension plasma sprayed thermal barrier coatings for gas turbine applications[J].Coatings,2016,7(1):4-27.
[17]Yang Z X,Han Q K,Jin Z H,et al.Solution of natural characteristics of a hard-coating plate based on LindstedtPoincaréperturbation method and its valedictions by FEM and measurement[J].Nonlinear Dynamics,2015,81(3):1207-1218.
[18]Sun W,Liu Y.Vibration analysis of hard-coated composite beam considering strain dependent characteristic of coating material[J].Acta Mechanica Sinica,2016,32(4):731-742.
[19]Zhang Y,Sun W,Yang J,et al.Nonlinear vibration analysis of a hard-coating cylindrical shell with elastic constraints by finite element method[J].Nonlinear Dynamics,2017,90(4):2879-2891.
[20]Sanliturk K Y,Koruk H.Development and validation of a composite finite element with damping capability[J].Composite Structures,2013,97:136-146.
[21]王娇.叶片阻尼结构的振动分析方法及其阻尼抑振效果研究[D].沈阳:东北大学,2013.(Wang Jiao.Research on vibration analysis methods and vibration suppression effect of damping structure of blade[D].Shenyang:Northeastern University,2013.)
[22]Jin G,Yang C,Liu Z.Vibration and damping analysis of sandwich viscoelastic-core beam using Reddy's higher-order theory[J].Composite Structures,2016,140:390-409.