The application of fuzzy mathematics to bridge condition assessment
Abstract
Deterioration of highway bridges has become a serious and, as yet, unsolved engineering problem. At present, bridge assessment is performed on the basis of the inspector's subjective evaluation of the situation, with little sound engineering information for guidance. To place this decision making on a more rational basis, many states are turning to research to provide new answers. This thesis contains the findings of a research study that was undertaken to develop methodologies which would yield realistic bridge condition assessment. A new bridge inspection system that will promote consistency and enhance standardization in condition assessment is proposed. The proposed improvements include: (1) a mechanism for combining imprecise condition assessment information, (2) an innovative method for developing damage assessment guidelines, and (3) a procedure for bridge performance and remaining life prediction. The fuzzy mathematical concepts are employed to account for the subjective judgment and personal bias that are inherent in bridge condition assessment. A set of criteria for developing bridge condition rating guidelines is proposed. Highway bridges are modeled as three dimensional structures using beam and plate bending finite elements. A fuzzy Markov Chain technique is proposed to predict bridge performance. Examples are presented to demonstrate the use of these methods. The examples are intentionally kept simple to show that the mathematical intricacies are only basic algebraic operations. The results generated by the fuzzy information combination model were observed to be in good agreement with actual results provided by experienced bridge inspectors. A sensitivity analysis performed on the proposed bridge performance prediction model revealed that the model's results were in good agreement with available bridge condition data.
Degree
Ph.D.
Advisors
Sinha, Purdue University.
Subject Area
Civil engineering
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