复杂扰动条件下水电站振动传递功率流分析

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (6) : 102-107.

论文

复杂扰动条件下水电站振动传递功率流分析

陶永霞12，职保平12，刘子祺3，马震岳4

作者信息 +

Power flow transmissibility analysis considering complex disturbances in hydropower stations

TAO Yongxia1,2,ZHI Baoping1,2,LIU Ziqi3,MA Zhenyue4

Author information +

文章历史 +

摘要

为分析水电站实际振动的复杂扰动对结构动力特性分析的影响，在单扰动分析的基础上，结合功率流、Kronecker代数、Hadamard积及随机摄动理论，推导了考虑参数相关和扰动相关的复杂扰动条件下的功率流随机参数结构分析方法，并应用于水电站竖向振动传导分析。通过水电站厂房结构振动分析表明，复杂扰动分析方法的结果是正确的，可分析各参数扰动对能量传导率的灵敏度问题。该研究能够有效降低扰动范围，提高分析的准确率，为准确分析振动传导路径提供保障。

Abstract

The effects of structural parameter disturbances on the dynamic characteristics of an actual hydropower station powerhouse were analysed.The power flow analysis method considering complex disturbances and parameter-related disturbances were focused.On the basis of single disturbance analysis,the stochastic perturbation method was expanded and integratedly used with the dual disturbances analysis,power flow analysis,Kronecker algebra and Hadamard product. The correctness and feasibility of the method were validated by an example of analyzing the vibration model of the hydropower station powerhouse.The results indicate that the method proposed can efficiently reduce the disturbance range and can accurately analyze the transfer paths of vertical vibration in hydropower stations.

导出引用

陶永霞12，职保平12，刘子祺3，马震岳4. 复杂扰动条件下水电站振动传递功率流分析[J]. 振动与冲击, 2017, 36(6): 102-107

TAO Yongxia1,2,ZHI Baoping1,2,LIU Ziqi3,MA Zhenyue4. Power flow transmissibility analysis considering complex disturbances in hydropower stations[J]. Journal of Vibration and Shock, 2017, 36(6): 102-107

参考文献

[1] 职保平. 基于复杂扰动的水电机组与厂房振动传导研究[D], 大连: 大连理工大学, 2014.
Baoping Z. Study of vibration transmission path about hydropower station units and powerhouse with complex disturbance [D], Dalian: Dalian University of Technology, 2014. (in Chinese)
[2] Singh B N, Yadav D, Iyengar N G R. Natural Frequencies of Composite Plates with Random Material Properties Using Higher-Order Shear Deformation Theory [J], Int. J. Mech. Sci., 2001, 43: 2193-2214.
[3] Popescu T D. Detection and Diagnosis of Model Parameter and Noise Variance Changes With Application in Seismic Signal Processing [J], Mech. Syst. Sig. Pr., 2011, 25(5): 1598-1616.
[4] Kaplunov J D, Nolde E V, Shorr B F. A Perturbation Approach for Evaluating Natural Frequencies of Moderately Thick Elliptic Plates [J], J. Sound Vib., 2005, 281(3-5): 905-919.
[5] Kamiński M. Least Squares Stochastic Boundary Element Method [J], Eng. Anal. Bound. Elem., 2011, 35(5): 776-784.
[6] Madani M, Fathizadeh M, Khan Y, et al. On the Coupling of the Homotopy Perturbation Method and Laplace Transformation [J], Math Comput Model, 2011, 53(9-10): 1937-1945.
[7] Ma J, Gao W, Wriggers P, et al. The Analyses of Dynamic Response and Reliability of Fuzzy-Random Truss under Stationary Stochastic Excitation [J], Comput. Mech., 2010, 45(5): 443-455.
[8] Gao W, Song C M, Tin-Loi F. Probabilistic Interval Response and Reliability Analysis of Structures with a Mixture of Random and Interval Properties [J]. Comput. Model. Eng. Sci., 2009, 46(2): 151-189.
[9] Ambrogio E G D. The dynamics of complex stochastic models evolution of a correlation function with random fluctuations [J], Mathematical and Computer Modelling, 1998, 28(3):15-20.
[10] Husain N A, Khodaparast H H, Ouyang H. Parameter selection and stochastic model updating using perturbation methods with parameter weighting matrix assignment [J], Mechanical Systems and Signal Processing, 2012, 32: 135-152.
[11] Zhi B P, Ma Z Y. Path Transmissibility Analysis Considering Two Types of Correlations in Hydropower Stations [J]. Journal of Applied Mathematics, 2013, 802546.
[12] Zhi B P, Ma Z Y. Disturbance Analysis of Hydropower Station Vertical Vibration Dynamic Characteristics: The Effect of Dual Disturbances [J]. Structural Engineering and Mechanics. 2015, 53(2): 297-309.
[13] 马震岳, 董毓新. 水电站机组及厂房振动的研究与治理 [M]. 北京: 中国水利水电出版社. 2004: 34-35.
Zhenyue M, Yuxin D. Vibration and its Corrective Actions of Water Turbine Generator Set and Power House [M]. Beijing: China Water Power Press. 2004:34-35. ( in Chinese)
[14] 马震岳, 董毓新. 水轮发电机组动力学 [M]. 大连:大连理工出版社. 2003: 197-199.
Zhenyue M, Yuxin D. Dynamics of Water Turbine Generator Set [M]. Dalian: Dalian University of Technology Press. 2003:197-199. ( in Chinese)
[15] 徐伟, 马震岳, 职保平. 基于功率流理论的大型水电站厂房结构脉动压力频响分析[J]. 水利学报, 2012, 05:615-622.
Wei X, Zhenyue M, Baoping Z, Analysis on frequency response to pulsating pressure in large hydropower house based on the theory of power flow [J]. ShuiLi XueBao, 2012, 05:615-622. ( in Chinese)
[16] 徐伟, 马震岳, 职保平. 水压脉动能量传导对水电站厂房墙体影响分析[J]. 水力发电学报, 2013, 32(2): 233-239.
Wei X, Zhenyue M, Baoping Z, Analysis on power flow transmission of pressure fluctuation along the walls of hydropower house [J]. Journal of Hydroelectric Engineering, 2013, 32(2): 233-239. ( in Chinese)
[17] 职保平, 马震岳, 吴嵌嵌. 考虑顶盖系统的水轮机竖向振动传递路径分析[J]. 水力发电学报, 2013, 32(3): 241-246.
Baoping Z, Zhenyue M，Qianqian W, Study on transfer paths of vertical vibrations in the head cover system of turbine [J], Journal of Hydroelectric Engineering, 2013, 32(3): 241-246. ( in Chinese)
[18] Goyder H G D. Vibration Power Flow partⅠandⅡ [J]. Journal of Sound and Vibration.1980, 68: 59-75.
[19] Wohlever J L, Bemhard R J. Mechanical Energy Flow Models of Rods and Beams [J]. Journal of Sound and Vibration. 1992(1).153:1-19.
[20] Pinnington R J, White R G. Power Flow through Isolators to Resonant and Nonresonant Beams [J] Journal of Sound and Vibration.1981, 75(2):179-197.
[21] Pinnington G R. Vibrational Power Transmission from Finite Source Beam to an Infinite Receiver beam via a Continuous Mount [J]. Journal of Sound and Vibration, 1990.137(1):117-129.
[22] 殷学文, 崔宏飞, 顾晓军等. 功率流理论、统计能量分析和能量有限元法之间的关联性 [J]. 船舶力学, 2007. 11(4): 637-646.
Xuewen Y, Hongfei C, Xiaojun G, etc. Relevancy among power flow theory, statistical energy analysis and energy finite element method [J]. Journal of Ship Mechanics. 2007, 11(4): 637-646. ( in Chinese)
[23] 赵群, 张义民, 赵晋芳. 频域内振动路径的功率流传递度排序 [J]. 航空动力学报, 2009(5): 1177-1181.
Qun Z, Yimin Z, Jinfang Z, Powerflow transfer ratio of vibration path systems in frequency range [J]. Journal of Aerospace Power. 2009(5): 1177-1181. ( in Chinese)