噪声与振动控制

›› 2009, Vol. 29 ›› Issue (5): 47-49.DOI: 10.3969/j.issn.1006-1355.2009.05.013

• 论文 • 上一篇    下一篇

《用无偏估计方法计算简支梁的频响函数》

滑广军1，吴吉平1，吴运新2   

  1. （1湖南工业大学，湖南株洲，412008; 2 中南大学，长沙，410083）
  • 收稿日期:2009-01-17 修回日期:1900-01-01 出版日期:2009-10-18 发布日期:2009-10-18
  • 通讯作者: 滑广军

《Using Unbiased Estimation Method to Calculate Frequency Response Functions of Simply Supported Beams》

HUA Guangjun1, WU Jingping1, WU Yunxin2   

  1. (1. University of Technology, Zhuzhou Hunan 412008, China; 2. Central South University, Changsha 410083, China)
  • Received:2009-01-17 Revised:1900-01-01 Online:2009-10-18 Published:2009-10-18
  • Contact: HUA Guangjun

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摘要：

利用不相关信号的互功率谱多次平均趋于零的性质，推导出多输入多输出频响函数无偏估计算法，用MATLAB语言编制了该无偏估计算法的程序。使用动态信号测试系统进行了简支梁的多点激励和多点响应的振动测试，并利用MATLAB程序对实测信号进行了计算，得到了测试对象的以频响函数。利用有限元方法计算了测试对象的频响函数，对多输入多输出频响函数无偏估计算法进行了验证。

关键词: 振动与波, 模态分析, 频响函数, 功率谱

Abstract:

A multi-input and multi-output unbiased frequency response function (MMUFRF) estimation is put forward based on the feature that the mean of the incorrelate signal CSD (Cross Spectral Density) tends to zero. The proposed method is realized by MATLAB programming. Two-input and four-output test is carried on using the dynamic signal test systems and its MMUFRF is acquired by MATLAB program. Meanwhile, numerical simulation of the frequency response functions is made by means of finite element method. The simulation results show that the proposed MMUFRF can correctly estimate the frequency response functions of real structures.

Key words: vibration and wave, mode analysis, frequency response function, PSD

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