最小二乘法估算变压器绝缘件瑞利阻尼系数的可行性研究

王尚; 杨振元; 王威强; 李福鹏

doi:10.13433/j.cnki.1003-8728.20180002

最小二乘法估算变压器绝缘件瑞利阻尼系数的可行性研究

doi: 10.13433/j.cnki.1003-8728.20180002

王尚¹,
杨振元^2,3,
王威强^1, ,,
李福鹏¹

1.
山东大学机械工程学院, 济南 250061;
2.
山东大学电气工程学院, 济南 250061;
3.
国家电网山东电力设备有限公司, 济南 250000

基金项目:

国家电网科技项目（SGTYHT/14-JS-188）资助

详细信息

作者简介:
王尚(1994-),硕士研究生,研究方向为材料性能测试研究,1158302650@qq.com

通讯作者:
王威强,教授,博士,wqwang@sdu.edu.cn

计量
- 文章访问数: 311
- HTML全文浏览量: 40
- PDF下载量: 18
- 被引次数: 0
出版历程
- 收稿日期: 2017-05-29
- 刊出日期: 2018-07-05

Feasibility Study on Estimating Rayleigh Damping Coefficients of Insolation used in Transforms by Least Square Method

1.
School of Mechanical Engineering, Shandong University, Ji'nan 250061, China;
2.
School of Electrical Engineering, Shandong University, Ji'nan 250061, China;
3.
State Grid Shandong Electric Co., Ltd., Ji'nan 250000, China

摘要

摘要: 从瑞利阻尼的基本概念出发，推导了瑞利阻尼的基本表达式，提出利用最小二乘法求解构件的瑞利阻尼系数，并验证其可行性。以变压器用层压木和层压纸板为例，对二者进行锤击试验，在优势频段之内，得到其主要模态，采用前人已有的三种瑞利阻尼系数确定方法及最小二乘法分别求得二者的瑞利阻尼系数，与最为经典的方法所得值进行对比。此外，利用有限元软件ABAQUS对层压木和层压纸板进行同一边界条件、不同阻尼系数的谐响应分析。结果表明：所有方法求得的瑞利阻尼系数，构件谐响应分析中位移响应曲线的趋势几乎一致，且最小二乘法中所取模态越多，误差越小。证明利用最小二乘法求解构件的瑞利阻尼系数是可行的。
- 瑞利阻尼系数 /
- 最小二乘法 /
- 锤击试验 /
- 谐响应分析
Abstract: Based on the basic concept of Rayleigh damping, the basic expression of Rayleigh damping is deduced. The Rayleigh damping coefficients of structural components can be calculated by the least square method and its feasibility is verified. The laminated wood and laminated paperboard used in transformers are taken as the example, their prominent modes are obtained in the dominant frequency bands by the hammering tests. The different Rayleigh damping coefficients of them were calculated by the three existing methods and the proposed least square method, and the results are compared with the those of classical method. In addition, the harmonic responses of laminated wood and laminated paperboard under the same boundary conditions and different damping coefficients have been carried out by FEM(Finite element method) with ABAQUS software. The results show that the Rayleigh damping coefficients obtained by all methods, and the trend of the displacement response of the harmonic response analysis are almost identical. The more modes are adopted in the least square method, the smaller the errors are. It is proved that calculating the Rayleigh damping coefficients of structural components by the least square method is feasible.
- Rayleigh damping coefficients /
- least square method /
- hammering test /
- harmonic response analysis

HTML全文

参考文献(15)

[1]	戴德沛.阻尼技术的工程应用[M].北京:清华大学出版社,1991:18-33 Dai D P. The engineering application of damping technique[M]. Beijing:Tsinghua University Press, 1991:18-33(in Chinese)
[2]	Chowdhury I, Dasgupta S P. Computation of Rayleigh damping coefficients for large systems[J]. Electronic Journal of Geotechnical Engineering, 2003,43:6855-6868
[3]	Ju S H, Ni S H. Determining Rayleigh damping parameters of soils for finite element analysis[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2007,31(10):1239-1255
[4]	王德铎,张艳平,闫军,等.多体结构瑞利阻尼系数的确定[J].机械设计与制造,2010,(1):230-231 Wang D D, Zhang Y P, Yan J, et al. Calculation for the Rayleigh damping coefficients of multi-body structures[J]. Machinery Design & Manufacture, 2010,(1):230-231(in Chinese)
[5]	Spears R E, Jensen S R. Approach for selection of Rayleigh damping parameters used for time history analysis[J]. Journal of Pressure Vessel Technology, 2012,134(6):061801
[6]	王珑祺,张斌,户文成.一种基于最小阻尼比确定瑞利阻尼参数的方法[J].噪声与振动控制,2012,(S1):204-206 Wang L Q, Zhang B, Hu W C. Analysis of modeling and dynamic response of crane[J]. Noise and Vibration Control, 2012,(S1):204-206(in Chinese)
[7]	Yusuf A I, Amin N M. Determination of Rayleigh damping coefficient for natural damping rubber plate using finite element modal analysis[C]//Proceedings of 2004 International Civil and Infrastructure Engineering Conference. Singapore:Springer, 2015:713-725
[8]	邹德高,徐斌,孔宪京.瑞利阻尼系数确定方法对高土石坝地震反应的影响研究[J].岩土力学,2011,32(3):797-803 Zou D G, Xu B, Kong X J. Study of influence of different methods for calculating Rayleigh damping coefficient on high earth-rock dam seismic response[J]. Rock and Soil Mechanics, 2011,32(3):797-803(in Chinese)
[9]	Pan D G, Chen G D, Wang Z C. Suboptimal Rayleigh damping coefficients in seismic analysis of viscously-damped structures[J]. Earthquake Engineering and Engineering Vibration, 2014,13(4):653-670
[10]	朱秀云,刘志凤,潘蓉,等.瑞利阻尼系数确定方法对非岩性场地地震反应的影响分析[J].工业建筑,2015,45(9):31-36 Zhu X Y, Liu Z F, Pan R, et al. Analysis of the influence of different methods for determining Rayleigh damping coefficient on non-rock site seismic response[J]. Industrial Construction, 2015,45(9):31-36(in Chinese)
[11]	李哲,王贡献,胡勇,等.改进的瑞利阻尼系数计算方法在岸桥结构地震反应分析中的应用[J].华南理工大学学报(自然科学版),2015,43(6):103-109,121 Li Z, Wang G X, Hu Y, et al. Application of improved calculation method of Rayleigh damping coefficient to seismic response analysis of quay crane structure[J]. Journal of South China University of Technology (Natural Science Edition), 2015,43(6):103-109,121(in Chinese)
[12]	Yoshida N, Kobayashi S, Suetomi I, et al. Equivalent linear method considering frequency dependent characteristics of stiffness and damping[J]. Soil Dynamics and Earthquake Engineering, 2002,22(3):205-222
[13]	Hudson M, Idriss I M, Beikae M. User manual for QUAD-4M:a computer program to evaluate the seismic response of soil structures using finite element procedures and incorporating a compliant base[D]. Berkeley:University of California, 1994
[14]	郑钻斌,程贤甦,符坚,等.酶解木质素改性酚醛树脂胶黏剂的研究[J].林产工业,2009,36(4):24-27 Zheng Z B, Cheng X S, Fu J, et al. Study on enzymatic hydrolysis lignin modified phenol formaldehyde resin[J]. China Forest Products Industry, 2009,36(4):24-27(in Chinese)
[15]	崔英颖,张厚江.木材节子个数与其振动模态参数关系的研究[J].木材加工机械,2006,17(5):5-9 Cui Y Y, Zhang H J. Study on the relationship of number of wood knots and parameters of wood vibrational mode[J]. Wood Processing Machinery, 2006,17(5):5-9(in Chinese)