Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-25T02:59:24.388Z Has data issue: false hasContentIssue false
  • English
  • Français

Parametric Identification of Frame Structures Using Transient Strains

Published online by Cambridge University Press:  05 May 2011

Pei-Ling Liu  and
Cheng-Chieh Chen
Pei-Ling Liu*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Cheng-Chieh Chen*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Professor, corresponding author
**Graduate student
Get access

Abstract

An inverse method for identifying the element rigidities of frame structures is developed in this paper. The primary input of this method is the longitudinal strains of the frame elements measured in transient tests. The spectral element method is employed to formulate the equilibrium equation of the frame in the frequency domain. The equilibrium equation is rewritten in terms of the strains of the frame elements. The identification problem is then formulated as an optimization program in which the error norm of the equilibrium equation is minimized. The proposed method is applicable to total structure identification as well as substructure identification. The issue of identifiability is addressed in this study. A numerical example is presented to illustrate the proposed method. The influence of noise is investigated through the example.

Keywords

Frameidentificationdamage assessmentstraintransient test
Type
Articles
Information
Journal of Mechanics , Volume 16 , Issue 4 , December 2000 , pp. 217 - 225
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Shinozuka, M., Yun, C.-B. and Imai, H., “Identification of Linear Structural Dynamic Systems,” Journal Engineering Mechanics, ASCE, 108(6), pp. 1371–1390 (1982).Google Scholar
2Agbabian, M. S., Masri, S. F., Miller, R. K. and Caughey, T. K., “System Identification Approach to Detection of Structural Changes,” Journal Engineering Mechanics, ASCE, 117(2), pp. 370–390 (1991).Google Scholar
3Masri, S. F., Miller, R. K., Saud, A. F. and Caughey, T. K., “Identification of Nonlinear Vibrating Structures: Part 1-Formulation,” Journal of Applied Mechanics, ASME, 54, pp. 918–922 (1987).Google Scholar
4Masri, S. F., Miller, R. K., Saud, A. F. and Caughey, T. K., “Identification of Nonlinear Vibrating Structures: Part 2-Applications,” Journal of Applied Mechanics, ASME, 54, pp. 923–929 (1987).Google Scholar
5Lin, C. C., Soong, T. T. and Natke, H. G., “Real-Time System Identification of Degrading Structures,” Journal of Engineering Mechanics, ASCE, 116(10), pp. 2258–2274 (1990).CrossRefGoogle Scholar
6Yun, C.-B. and Shinozuka, M., “Identification of Nonlinear Structural Dynamic Systems,” Journal Structural Engineering, ASCE, 8(2), pp. 187–203 (1980).Google Scholar
7Hoshiya, M. and Saito, E., “Structural Identification by Extended Kalman Filter,” Journal Engineering Mechanics, ASCE, 110(12), pp. 1757–1770 (1984).Google Scholar
8Hoshiya, M. and Maruyama, O., “Adaptive Identification of Autoregressive Processes,” Journal Engineering Mechanics, ASCE, 117(7), pp. 1442–1454 (1991).Google Scholar
9Mottershead, J. E., “A Unified Theory of Recursive, Frequency Domain Filters with Application to System Identification in Structural Dynamics,” Journal of Vibration, Acoustics, Stress, and Reliability in Design, ASME, 110, pp. 360–365 (1988).Google Scholar
10Fritzen, C. P. and Zhu, S., “Updating of Finite Element Models by means of Measured Information,” Computers and Structures, 40(2), pp. 475–486 (1991).CrossRefGoogle Scholar
11Lin, R. M. and Ewins, D. J., “Analytical Model Improvement Using Frequency Response Functions,” Mechanical Systems and Signal Processing, 8(4), pp. 437–458 (1994).CrossRefGoogle Scholar
12Imregun, M., Visser, W. J. and Ewins, D. J., “Finite Element Model Updating Using Frequency Response Function Data-I. Theory and Initial Investigation,” Mechanical Systems and Signal Processing, 9(2), pp. 187–202 (1995).Google Scholar
13Imregun, M., Visser, W. J. and Ewins, D. J., “Finite Element Model Updating Using Frequency Response Function Data-II. Case Study on a Medium-Size Finite Element Model,” Mechanical Systems and Signal Processing, 9(2), pp. 203–213 (1995).Google Scholar
14Liu, P.-L. and Chen, C. C., “Parametric Identification of Truss Structures Using Transient Response,” Journal of Sound and Vibration, 191(2), pp. 273–287 (1996).Google Scholar
15Doyle, J. F., Wave Propagation in Structures, Spring-Verlag, New York (1989).Google Scholar
16Doyle, J. F. and Farris, T. N., “Spectral Analysis of Impact Induced Wave Propagation in 3-D Frames,” Computational Techniques for Impact, Penetration, and Perforation of Solids, Schwer, L. E., et al., eds. AMD–103, 9–29 (1989).Google Scholar
17Luenberger, D. G., Linear and Nonlinear Programming, Addison-Wesley, Reading, MA (1984).Google Scholar
18Oppenheim, A. V. and Schafer, R. W., Discrete-Time Signal Processing, Prentice Hall, Englewood Cliffs, NJ (1989).Google Scholar
19Paz, M., Structural Dynamics: Theory and Computation, Van Nostrand Reinhold, New York (1991).Google Scholar