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Order of Magnitude Reasoning for Qualitative Matrix Structural Analysis

by David I. Schwartz, State Univ of New York at Buffalo, Buffalo, United States,
Stuart S. Chen, State Univ of New York at Buffalo, Buffalo, United States,



Document Type: Proceeding Paper

Part of: Computing in Civil and Building Engineering

Abstract:

Several computational schemes have recently been proposed to adapt Qualitative Reasoning for Structural Engineering applications. One current methodology. Qualitative Matrix Analysis (QMA), shows promise for accommodating a variety of structural models within a uniform mathematical framework:. QMA currently leads to combinatorial ambiguities when applied to, structures of realistic complexity. To curtail ambiguity and provide a sense of magnitude to solutions, an interval based Order of Magnitude Reasoning approach is proposed. This paper describes the theory and prototype implementation of an interval-based matrix structural analysis scheme for Order of Magnitude Reasoning.

Subject Headings: Structural analysis | Quantitative analysis | Quality control | Matrix (mathematics) | Artificial intelligence (AI) | Mathematics | Finite element method

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