A frequency-domain method for estimating the mass, stiffness and damping matrices of the model of a structure is presented. The developed method is based on our previous work on the extraction of normal modes from the complex modes of a structure. A transformation matrix is obtained from the relationship between the complex and the normal frequency response functions of a structure. The transformation matrix is employed to calculate the damping matrix of the system. The mass and the stiffness matrices are identified from the normal frequency response functions by using the least squares method. Two simulated systems are employed to illustrate the applicability of the proposed method. The results indicate that the damping matrix can be identified accurately by the proposed method. The reason for the good results is that the damping matrix is identified independently from the mass and the stiffness matrices. In addition, the robustness of the new approach to uniformly distributed measurement noise is also addressed.
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January 1996
Research Papers
Estimation of Mass, Stiffness and Damping Matrices from Frequency Response Functions
S. Y. Chen,
S. Y. Chen
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.
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M. S. Ju,
M. S. Ju
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.
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Y. G. Tsuei
Y. G. Tsuei
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.
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S. Y. Chen
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.
M. S. Ju
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.
Y. G. Tsuei
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.
J. Vib. Acoust. Jan 1996, 118(1): 78-82 (5 pages)
Published Online: January 1, 1996
Article history
Received:
January 1, 1994
Online:
February 26, 2008
Citation
Chen, S. Y., Ju, M. S., and Tsuei, Y. G. (January 1, 1996). "Estimation of Mass, Stiffness and Damping Matrices from Frequency Response Functions." ASME. J. Vib. Acoust. January 1996; 118(1): 78–82. https://doi.org/10.1115/1.2889638
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