• CN:11-2187/TH
  • ISSN:0577-6686

›› 1987, Vol. 23 ›› Issue (1): 81-88.

• 论文 • 上一篇    下一篇

振动系统时域动态识别的几个问题

张维屏;王志强   

  1. 东北工学院
  • 发布日期:1987-01-01

SEVERAL PROBLEMS IN THE DYNAMIC IDENTIFICATION OF THE MODAL OF VIBRATION SYSTEM IN TIME DOMAIN

Zhang Weiping;Wang Zhiqiang   

  1. Northeast University of Technology
  • Published:1987-01-01

摘要: 在ITD方法[1]-[7]中,准确区分真假模态和精确识别模态参数是识别技术的两个关键问题。该法采用模态置信因子来区别真假模态[4][5],其准确度受测试数据中的噪声与测点个数的影响较严重。该法将最小二乘方程组化为法方程[4]来求解系统矩阵,增加了所求方程的病态性和不稳定性[8][9]。为此,本文进行了改进,借助于对不同序列频率值的比较来区别真假模态,当测点较少也有足够的可靠性,且测试噪声对频率的影响也最小。在算法上本文采用了改进的Gram-Schmidt正交化方法来求解识别计算中的最小二乘方程组,使识别精度有了提高。本文用FORTRAN77语言编制了识别程序,进行了若干试算,结果令人满意。

Abstract: To distinguish the real modal from the false one and to identify the modal parameters accurately are two key problems in applying ITD as an identification technique. The ITD method uses a confidence factor of the modal to distinguish the real from the false, its accuracy is significantly influnced by the noise in the recorded signal and the numbers of the measured points, and the results have to be judged artificially. This method also requires to change the least square equations into the form of normal equations to solve the matrix of the system, which makes a worse ill-condition and instability of the equations to be solved. In order to improve the ITD method, the real and false modals are distinguished by means of the comparison of the frequence values of different series, with which a quite reasonable reliability can be assured even with less measuring points and the influence of the recorded noise on the real modal of the system can be reduced to a minimum extent. An improved Gram-schmit orthogonalization approach is used to solve the least square equations in the identification calculation for a higher precision. An identification program is designed it with the FORTRAN77 algorithmic language. With the program several tests are performed with satisfactory results.