Abstract
This paper presents a new method using the damage induction vector (DIV) and the best achievable vector (BAV) by which the change of modes due to structural damage can be applied to determine the location and scale of damage in structures. By the DIV, undamage elements can be casily identified and the damage detection can be limited to a few domains of the structure. The structural damage is located by computing the Euclidean distance between the DIV and its BAV. The loss of both stiffness and mass properties can be located and quantified. The characteristic of this method is less calculation and there is no limitation of damage scale. Finally, the effectiveness of the method is demonstrated by detecting the damages of the shallow arches.
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References
Kashangaki T., On-orbit detection and health monitoring of large space trusses—status and critical issues, Proceedings of the AIAA/ASME/ASCE/AHS/ASC 32nd Structures, Structural Dynamics and Materials Conference, AIAA, Washington DC, 1991, 2947-2958. (AIAA Paper 91-1181)
Kashangaki T., Underlying modal data issues for detecting damage in truss structures, Proceedings of the AIAA/ASME/ASCE/AHS/ASC 33rd Structures, Structural Dynamics and Materials Conference, AIAA, Washington DC, 1992, 1437–1446 (AIAA Paper 92-2264)
Brock J. E., Optimal matrices describing linear systems, AIAA J., 6 (7), 1292–1296. (1968).
Baruch M., Optimal correction of mass and stiffness matrices using measured modes, AIAA J., 20 (11), 1623–1626. (1982)
Kabe A. M., Stiffness Matrix Adjustment using mode data, AIAA J., 23 (9), 1431–1436. (1985)
Smith S. W., Damage detection and location in large space trusses, AIAA SDM Issues of the International Space Station, A Collection of Technical Papers, AIAA, Washyington DC, 1988, 56–63
Smith S. W., Secant-method matrix adjustment for structural models, AIAA J., 29 (1), 119–126. (1991)
Collins J. D., Statistical identification of structures, AIAA J., 12 (2), 185–190. (1974)
Zimmerman D. C. et al, Structural damage detection using a minimum rank update theory, Journal of Vibration and Acoustics, 116 (2), 222–231. (1992)
Andry A. N., Eigenstructure assignment for linear systems, IEEE Transactions on Aerospace and Electronic Systems, AES-19 (5), 711–729. (1983)
Inman D. J. & Minas C., Matching finite element models to modal data, Journal of Vibration and Acoustics, 112 (1), 84–92. (1990)
Zimmerman D. C. & Widengren W., Correcting finite element modals using a symmetric eigenstructure assignment technique, AIAA J., 28 (9), 1670–1676. (1990)
Zimmerman D. C., Structural damage detection using a subspace retation algorithm, Proceedings of the AIAA/ASME/ASCE/AHS/ASC 33rd Structures, Structural Dynamics and Materials Conference, AIAA, Washington DC, 1992, 2341–2350 (AIAA Paper 92-2521)
Kim T. W., Structural damage detection of space truss structures using best achievable eigenvectors, AIAA J., 32 (5), 1049–1057. (1994).
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Zhao, Q., Zhou, Z. Structural damage detection with damage induction vector and best achievable vector. J. of Shanghai Univ. 1, 214–220 (1997). https://doi.org/10.1007/s11741-997-0025-1
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DOI: https://doi.org/10.1007/s11741-997-0025-1