Paper
22 April 1996 Damage detection of highly nonlinear structures from response measurements
Klaus G. Topole, Gallia Tzvetkova
Author Affiliations +
Abstract
In this paper, a method is presented to predict the location and magnitude of structural damage in highly nonlinear systems with damping. If a structure exhibits moderate or severe nonlinearities, conventional system damage prediction approaches only yield unsatisfactory results. In particular, techniques based upon modal analysis cannot be utilized. The approach presented here excels in the damage prediction of systems of severe nonlinearities where other methods have difficulties to yield acceptable results. Based upon the first law of thermodynamics, a system of equations is obtained to yield information on the physical properties of the structure regardless of the type of excitation. The equations are directly obtained from dynamic response readings of the system. As opposed to modal analysis techniques, which often require sampling times of excessive length, very short sampling times in the range of only a few seconds will suffice in the presented formulation. The approach is derived for viscously damped structures with polynomial nonlinearities, although the approach is applicable to other types of damping and nonlinearities. The performance of the approach is demonstrated on a numerical example of a multi-span bridge. To demonstrate the versatility of the approach, the method is applied using harmonic as well as impulse excitation. It is shown that the presented approach perfectly predicts damage inherent in a damped nonlinear structure.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Klaus G. Topole and Gallia Tzvetkova "Damage detection of highly nonlinear structures from response measurements", Proc. SPIE 2719, Smart Structures and Materials 1996: Smart Systems for Bridges, Structures, and Highways, (22 April 1996); https://doi.org/10.1117/12.238850
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KEYWORDS
Mathematical modeling

Bridges

Damage detection

Complex systems

Modal analysis

Thermodynamics

Time metrology

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