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Damage detection using experimentally measured mass and stiffness matricesA method is presented for locating physical damage or change in a structure using experimentally measured mass and stiffness matrices. The approach uses a recently developed algorithm for transforming a state-space realization into a second order structural model with physical displacements as the generalized coordinates. This is accomplished by first rotating a state-space model of the identified structural dynamics into modal coordinates and approximating the mass normalized modal vectors for the output measurement set. Next, the physical mass, damping and stiffness matrices are synthesized directly from the measured modal parameters. This yields experimental mass and stiffness matrices for the structure without the use of a finite element model or a numerical search. The computed mass and stiffness are asymptotically equivalent to a static condensation of the global physical coordinate model. Techniques for solving the inverse connectivity problem are then developed whereby it is possible to assess the stiffness in a region of the structure bounded by several sensors. Applications to both simulated data and experimental data are used to discuss the effectiveness of the approach.
Document ID
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Peterson, L. D.
(NASA Headquarters Washington, DC United States)
Alvin, K. F.
(NASA Headquarters Washington, DC United States)
Doebling, S. W.
(NASA Headquarters Washington, DC United States)
Park, K. C.
(Colorado Univ. Boulder, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Publication Information
Publication: In: AIAA(ASME)ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 34th and AIAA/ASME Adaptive Structures Forum, La Jolla, CA, Apr. 19-22, 1993, Technical Papers. Pt. 3 (A93-33876 1
Publisher: American Institute of Aeronautics and Astronautics
Subject Category
Structural Mechanics
Report/Patent Number
AIAA PAPER 93-1482
Accession Number
Funding Number(s)
Distribution Limits

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