利用一种基于应变依赖性硬涂层的整体叶盘阻尼减振方案，并研究了叶片涂敷应变依赖性硬涂层的整体叶盘非线性动力学特性。首先，基于离散实验数据与高阶多项式得到了非线性硬涂层的连续力学参数；然后，利用基于改进复模量理论与复合Mindlin板理论的能量有限元法，创建了考虑应变依赖性的硬涂层整体叶盘的非线性动力学模型；其次，基于Newton-Raphson计算方法提出一套非线性迭代计算流程，求解了硬涂层整体叶盘的非线性共振频率与共振响应；最后，选择叶片涂敷NiCoCrAlY+YSZ硬涂层的整体叶盘为研究实例进行数值分析与实验测试，分析了硬涂层及其应变依赖性对整体叶盘振动特性的影响。研究结果表明：整体叶盘在涂敷硬涂层后的振动响应得到有效抑制，而应变依赖性能有效增强硬涂层对整体叶盘的减振效果。
Abstract
In order to improve the operating life and working reliability of the blisk, a damped vibration reduction method by the strain-dependent hard coating was proposed, and the nonlinear vibration characteristics of the hard-coating blisk were studied in this paper. Firstly, using the experimental discrete values and the high-order polynomials, the continuous mechanical parameters of the strain-dependent hard coating were characterized well; and then, the nonlinear vibration model of the hard-coating blisk considering the strain-dependent manner was established by the energy-based finite element method consisting of the improved complex modulus and composite Mindlin plate theory; next, an iterative solution procedure employing the Newton-Raphson method was developed to solve its nonlinear resonant frequencies and responses. Finally, an academic blisk deposited NiCoCrAlY+YSZ hard coating on blades was chosen to conduct vibration calculations and experiment, and the influence of strain-dependent manner on the the blisk were investigated emphatically. The comparative results show that by damping hard coating can suppress the vibration responses of the blisk effectively, and the strain-dependent manner can further enhance the performance of vibration reduction on the blisk effectively.
关键词
整体叶盘 /
阻尼减振 /
应变依赖性硬涂层 /
非线性振动特性 /
能量有限元法 /
Newton-Raphson法
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Key words
blisk /
damped vibration reduction /
strain-dependent hard coating /
nonlinear vibration characteristics /
energy-based finite element method /
Newton-Raphson calculation method
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参考文献
[1] CHEN Yu-gang, ZHAI Jing-yu, HAN Qing-kai. Vibration and damping analysis of the bladed disk with damping hard coating on blades [J]. Aerospace Science and Technology, 2016, 58: 248-257.
[2] XIE Fang-tao, MA Hui, CUI Can, et al. Vibration response comparison of twisted shrouded blades using different impact models [J]. Journal of Sound and Vibration, 2017, 397: 171-191.
[3] 谢方涛, 崔璨, 马辉, 等. 一种求解干摩擦带冠叶片动力学响应的方法[J]. 振动工程学报, 2018, 31(01):110-117.
XIE Fang-tao, CUI Can, MA Hui. An approach to calculate the dynamic response of shrouded blade with dry friction [J]. Journal of Vibration Engineering, 2018, 31(01):110-117.
[4] Daniele Botto, Chiara Gastadi, Muzio M. Gola, et al. An experimental investigation of the dynamics of a blade with two under-platform dampers [J]. Journal of Engineering for Gas Turbines and Power, 2018, 140(3): 032504.
[5] 周 航，校金友，徐超. 考虑频变阻尼的粘弹性阻尼层板结构模态分析方法[J]. 振动与冲击, 2018, 37(14): 208-213.
ZHOU Hang, XIAO Jin-you, XU Chao. Modal analysis method for viscoelastically damped laminated structures with frequency dependent damping [J]. Journal of Vibration and Shock, 2018, 37(14): 208-213.
[6] SUN Wei, LIU Rong, FAN Yun-fei. Analytical modeling and damping optimization for a thin plate partially covered with hard coating [J]. Archive of Applied Mechanics, 2018, 88(6): 897-912. 11
[7] Tatsuro Morita, Kenta Inoue, DING Xiao-teng, et al. Effect of hybrid surface treatment composed of nitriding and DLC coating on friction-wear properties and fatigue strength of alloy steel [J]. Materials Science and Engineering: A, 2016, 661: 105-114.
[8] V Stathopoulos, V Sadykov, S Pavlova, et al. Design of functionally graded multilayer thermal barrier coatings for gas turbine application. Surface and Coatings Technology [J], 2016, 295: 20-28.
[9] DU Guang-yu, BA De-chun, TAN Zhen, et al. Vibration damping performance of ZrTiN coating deposited by arc ion plating on TC4 Titanium alloy [J]. Surface and Coatings Technology, 2013, 229: 172-175.
[10] SUN Wei, ZHU Ming-wei, WANG Zhuo. Free vibration analysis of a hard-coating cantilever cylindrical shell with elastic constraints [J]. Aerospace Science and Technology, 2017, 63: 232-244.
[11] Torvik P J. Determination of mechanical properties of non-linear coatings from measurements with coated beams [J]. International Journal of Solids and Structures, 2009, 46(5): 1066-1077.
[12] 胥小强. 纤维增强复合材料层合板振动响应分析与优化 [D].南京航空航天大学, 2015.
XU Xiao-qiang. Analysis and optimization of the vibration response for fiber reinforced composites with Laminated Structure [D]. Nanjing University of Aeronautics and Astronautics, 2015.
[13] 许海艳. 粘弹性材料对周期性高架桥振动控制的影响研究 [D].江苏大学, 2019.
XU Hai-yan. Research on the influence of viscoelastic materials on vibration control of the periodic viaduct [D]. Jiangsu University, 2019.
[14] G.D. Gounaris, E. Antonakakis, C.A. Papadopoulos. Hysteretic damping of structures vibrating at resonance: An iterative complex eigensolution method based on damping-stress relation [J]. Computers Structures, 2007, 85(23): 1858-1868.
[15] Huang Chiung Shiann,Huang S H. Analytical Solutions Based on Fourier Cosine Series for the Free Vibrations of Functionally Graded Material Rectangular Mindlin Plates [J]. Materials (Basel, Switzerland), 2020, 13(17).
[16] Sergio Filippi, Peter J. Torvik. A methodology for predicting the response of blades with nonlinear coatings [J]. Journal of Engineering for Gas Turbines and Power, 2011, 133(4): 042503.
[17] 孙伟，刘营，李晖. 考虑应变依赖性的硬涂层复合结构有限元分析[J]. 航空动力学报，2015，30(09):2212-2218.
SUN Wei, LIU Ying, LI Hui. Finite element analysis of hard-coating composite structure considering strain-dependent characteristic [J]. Journal of Aerospace Power, 2015，30(09):2212-2218.
[18] 刘营. 硬涂层梁及板复合结构动力学建模与分析[D].东北大学, 2014.
LIU Ying. Dynamic modeling and analysis of hard-coating beam and hard-coating plate. [D]. Northeastern University, 2014.
[19] Feng Gao, Wei Sun. Vibration characteristics and damping analysis of the blisk-deposited hard coating using the Rayleigh-Ritz method [J]. Coatings, 2017,7(8).
[20] 刘营. 硬涂层梁及板复合结构动力学建模与分析[D].东北大学,2014.
LIU Ying. Dynamic modeling and analysia of hard-coating beam and hard-coating plate [D]. Northeastern University, 2014.
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