Damage detection via parameter correction using measured static flexibility matrices

Keith K. Denoyer; Lee D. Peterson

doi:10.1117/12.239024

1 May 1996 Damage detection via parameter correction using measured static flexibility matrices

Keith K. Denoyer, Lee D. Peterson

Proceedings Volume 2717, Smart Structures and Materials 1996: Smart Structures and Integrated Systems; (1996) https://doi.org/10.1117/12.239024
Event: 1996 Symposium on Smart Structures and Materials, 1996, San Diego, CA, United States

Abstract

Numerical simulation results are presented for a novel damage detection algorithm for detecting damage in smart structures. The method finds damage using a dynamically measured static flexibility matrix. Damage is found through a parametric correction of a large order static finite element model using a much smaller order measurement set. This is accomplished without any model reduction or eigenvector expansion step. The parametric correction is formulated to minimize a residual which is formed using the pseudoinverse relationship between structural flexibility and stiffness matrices. By posing the update problem in terms of measured flexibility matrices instead of experimentally determined modal data, the problems of modal correspondence, mode selection, and modal truncation are avoided. In this paper, numerical simulation results demonstrate that the technique is capable of locating and quantifying damage manifested as a change in local stiffness in the full order finite element model using a measured flexibility matrix obtained for a much smaller measurement degree- of-freedom set. This is accomplished using a non-iterative linear solution and is possible even when the damage is contained entirely in an element not touching the measurement degree-of- freedom set.

Citation Download Citation

Keith K. Denoyer and Lee D. Peterson "Damage detection via parameter correction using measured static flexibility matrices", Proc. SPIE 2717, Smart Structures and Materials 1996: Smart Structures and Integrated Systems, (1 May 1996); https://doi.org/10.1117/12.239024

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