An identification method of distributed imbalance without trial weights for high speed rotors

PDF(863 KB)

Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (4) : 28-31.

ZHANG Yun1，HU Zhenbang2，MEI Xuesong2

Author information +

History +

Abstract

To avoid the vibration induced by distributed imbalance, an identification method without trial weights of distributed imbalance for high speed rotors, which only need to collect vibration data below the first critical speed, is presented. First, the relationship between the dynamics transfer function and the influence coefficients was identified based on the dynamics analysis and the extended influence coefficients principle. Second, the mass eccentricity curve of distributed unbalance was described by the nodes in finite element model, and then, a formula to solve the distributed unbalance imposing on each finite element model node was derived from the full rank of dynamics transfer matrix, which was obtained by increasing the speed. Finally, the experiment analysis was performed on a flexible rotor test rig, and the results demonstrated that the magnitude of the vibration during the first order critical speed was reduced significantly after adding the correcting weights, which implied that the distributed unbalance could be identified accurately by the proposed method.

Key words

high speed rotors / distributed imbalance / imbalance identification / without trial weights

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

ZHANG Yun1，HU Zhenbang2，MEI Xuesong2. An identification method of distributed imbalance without trial weights for high speed rotors[J]. Journal of Vibration and Shock, 2017, 36(4): 28-31

References

[1] Zhou S, Shi J. Active Balancing and Vibration Control of Rotating Machinery: A Survey[J]. The Shock and Vibration Digest, 2001,33(4):361-371.
[2] 章云, 梅雪松, 邹冬林, 等. 应用模态分析及傅里叶变换的柔性转子无试重动平衡方法[J]. 振动与冲击, 2012,31(11):7-10.
ZHANG Y, MEI X S, ZOU D L, et al. A Field Balancing Method of Flexible Rotors Based on Modal Analysis and Fourier Transform[J]. Journal of Vibration and Shock, 2012, 31(11):7-10.
[3] El-Shafei A, El-Kabbany A S, Younan A A. Rotor Balancing Without Trial Weights[J]. Journal of Engineering for Gas Turbines and Power, 2004,126(3):604-609.
[4] Ramlau R, Niebsch J. Imbalance Estimation Without Test Masses for Wind Turbines[J]. Transactions of the ASME:Journal of Solar Energy Engineering, 2009,131:11010, 1-7.
[5] 王维民, 高金吉, 江志农, 等. 旋转机械无试重现场动平衡原理与应用[J]. 振动与冲击, 2010,29(2):212-215.
WANG W M, GAO J J, JIANG Z L, et al. Principle and application of no trial weight field balancing for a rotating machinery [J]. Journal of Vibration and Shock, 2010,29(2):212-215.
[6] 章云, 梅雪松, 邹冬林, 等. 应用动力学模型的高速主轴无试重动平衡方法[J]. 西安交通大学学报, 2011, 45(7): 34-37.
ZHANG Y, MEI X S, ZOU D L, et al. Model-based balancing method for high-speed machine tool spindle without trial weights[J]. Journal of Xi’an Jiaotong University, 2011,45(7): 34-37.
[7] Zhou S Y, Dyer S W, Shin K K, et al. Extended influence coefficient method for rotor active balancing during acceleration[J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2004,126(1):219-223.
[8] 钟一谔, 何衍宗, 王正, 等. 转子动力学[M]. 北京: 清华大学出版社, 1987.
ZHONG Y E, HE Y Z, WANG Z, et al. Rotor Dyamics [M]. Beijing. TsingHua University Press, 1987.
[9] Zhang Y, Mei X, Shao M, et al. An improved holospectrum-based balancing method for rotor systems with anisotropic stiffness[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2013,227(2):246-260.
[10] Shin Y, Lee A. Identification of the unbalance distribution in flexible rotors[J]. International Journal of Mechanical Sciences, 1997,39(7):841-857.
[11] Yang T, Lin C. Estimation of Distributed Unbalance of Rotors[J]. Transactions of the ASME:Journal of Engineering for Gas Turbines and Power, 2002,124:976-983.