期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一种改进最小二乘复频域方法及其应用 被引量：2

Improved least squares complex frequency domain method and its application
原文传递
导出
摘要 针对最小二乘复频域法在噪声干扰下模态参数识别精度不高的问题,采用分母替换函数,提出有理函数拟合改进算法,将其迭代后引入最小二乘复频域法.通过简支梁实验台锤击信号得到频域响应函数,代入到改进的算法中进行研究.结果表明:有理函数拟合最小二乘复频域法比最小二乘复频域法在噪声干扰下的识别效果较好,经过有理函数拟合改进后的多项式在阶次较低的情况下能识别出全部极点并得到更理想的稳态图,且对阻尼比的识别更接近真实值. The least squares complex frequency domain method is inaccurate in the system modal pa- rameter identification when noise signal exists. Therefore denominator replacement function was proposed. Then rational function fitting iteration was introduced into the least squares complex frequency domain method. Frequency response functions were obtained on a simply supported beam test rig by hammering method. Next they were used into the improved algorithm. It can be drawn that the ra- tional function fitting complex frequency domain method can obtain all poles and much more steady state map on low order polynomial calculation than that of least squares complex frequency domain method under noise signal interference. Besides, the improved method also does well in damping ratio identifying.
作者 任武 吴运新 许志杰 张赵威
机构地区 中南大学高性能复杂制造国家重点实验室 中南大学机电工程学院
出处 《华中科技大学学报（自然科学版）》 EI CAS CSCD 北大核心 2014年第5期30-33,46,共5页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金 国家高技术研究发展计划资助项目(2008AA042802) 高性能复杂制造国家重点实验室自主研究课题(zzyjkt2013-0613)
关键词 最小二乘复频域法 有理函数 拟合 模态参数 简支梁 least squares complex frequency domain method rational function fitting modal param-eter simply supported beam
分类号 TH112 [机械工程—机械设计及理论] TP274 [自动化与计算机技术—检测技术与自动化装置]
  • 相关文献

参考文献15

  • 1Ewins D J. Modal testing: theory and practice[M]. Letchworth:Research Studies Press, 1984.
  • 2Heylen W, Lammens S, Sas P. Modal analysis theo- ry and testing [ M]. Department Werktuigkunde, Heverlee: Katholieke Universiteit Leuven, 2001.
  • 3Papalazarou C, de With P H N, Rongen P. Sparse plus-dense-RANSAC for estimation of multiple com- plex curvilinear models in 2D and 3D[J]. Pattern Recognition, 2013, 46(3): 925-935.
  • 4Richardson M H. Global frequency & damping esti- mates from frequency response measurements[C]// The 4th International Modal Analysis Conference (IMAC IV). Los Angeles:Union College, 1986:465-470.
  • 5Van D A H, Leuridan J. Multiple input orthogonal polynomial parameter estimation[J]. Mechanical Sys- tems and Signal Processing, 1987, 1(3): 259-272.
  • 6Shih C Y, Tsuei Y G, Allemang R J, et al. Complex mode indication function and its applications to spatial domain parameter estimation[J]. Mechanical Systems and Signal Processing, 1988, 2(4): 367-377.
  • 7El-kafafy M, Gauillaume P, de Troyer T, et al. A frequency-domain maximum likelihood implementa- tion using the modal model formulation[J]. System Identification, 2012, 16(1) : 179-184.
  • 8van der Auweraer H, Guillaume P, Verboven P, et al. Application of a fast-stabilizing frequency domain parameter estimation method[J]. Journal of Dynamic Systems, Measurement, and Control, 2001, 123 (12): 651-658.
  • 9Guillaume P, Verboven P, Vanlanduit S, et al. A poly-reference implementation of the least-squares complex frequency-domain estimator [ C] // Proceed- ings of IMAC. Kissimmee: Curran Associates Inc, 2003: 183-192.
  • 10Peeters B, van der Auweraer H, Guillaume P, et al. The PolyMAX frequency-domain method: a new standard for modal parameter estimation[J]. Shock and Vibration, 2004, 11 (3-4): 395-409.

二级参考文献18

  • 1沃德·海伦著 白化同 郭继忠译.模态分析理论与试验[M].北京：北京理工大学出版社,2001..
  • 2Richardson M H. & Formenti D L. Parameter Estimation from Frequency Response Measurements using Rational Fraction Polynomials, Proceedings of the 1st IMAC, Orlando, Florida, Nov. 8 - 10,1982.
  • 3P. Guillaume, P. Verboven, S. Vantanduit, H. Van der Auweraer, B. Peeters,A poly - reference implementation of the least squares complex frequency - domain estimator, in: Proceedings of the 21st International Modal Analysis(IMAC) Conference, Kissimmee, FL, USA, 2003.
  • 4H. Van der Auweraer, P. Guillaume, P. Verboven, S. Vanlanduit, Application of a fast - stabilizing frequency domain parameter estimation method, ASME Journal of Dynamic Systems, Measurement and Control 123(4)(2001 )651 -658.
  • 5Mergeay M. Least Squares Complex Exponential Method and Global System parameter Estimation used by Modal Analysis. Proc. Of 5th International Seminar on Modal Analysis, 1983,3.
  • 6Yule G U. On a Method of Investigating Periodicitiesin Disturbed Series, with Special Reference to Woffers spot Numbers, Philo. Trans. 1927, A226,267.
  • 7B. Gustavsen and A. Semlyen, "Rational approximation of frequency domain responses by Vector Fitting", IEEE Trans. Power Delivery, vol 14, no. 3, pp. 1052 - 1061, July 1999.
  • 8D. Deschrijver, M. Mrozowski, T. Dhaene, and D. De Zutter, "Macromodeling of Muhiport Systems Using a Fast Implementation of the Vector Fitting Method", IEEE Microwave and Wireless Components Letters, vol. 18, no.6, pp. 383- 385, June 2008. Link.
  • 9George H.James Ill,Thomas G. Carrie,James P. Lauffer,The Natural Excitation Technique(NExT)for Modal Parameter Extraction From Operating Wind Turbines. The International Journal of Analytical and Experimental Modal Analysis 10 (4) ,260 - 277.
  • 10Heylen W,Lammens S,SAS P Modal Analysis Theory and Tesring Department of Mechanical Engineering.Katholieke Universiteit Leuven, Leuven, Belgium, 1995.

共引文献11

同被引文献13

引证文献2

二级引证文献2

华中科技大学学报（自然科学版）
2014年 第5期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部