A reduced three-dimensional dynamic structural model for structural health assessment

• Published in: Applied mathematics and computation Vol. 182; no. 1; pp. 572 - 588
• Main Author: White, Luther
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 01.11.2006; Elsevier
• Subjects: Classical and quantum physics: mechanics and fields; Classical mechanics of continuous media: general mathematical aspects; Elasticity, plasticity: general mathematical aspects; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Global analysis, analysis on manifolds; Mathematics; Physics; Sciences and techniques of general use; Solid mechanics; Structural and continuum mechanics; Structural mechanics (beam, string...); Theory and numerical methods; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Three dimensional model; Numerical analysis; Three-dimensional calculations; Structural health assessment; Linear elasticity; Applied mathematics; Elastic structure; Dynamic model; Monitoring
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2006.04.020

Dynamic models of elastic structures are derived using approximations of linear three-dimensional elasticity. A model for the three-dimensional motion of a nonsymmetric structure that is of use for applications to health monitoring for buildings is obtained. The symmetric version of the model is validated using laboratory acceleration data. Narrow plate equations whose derivation is based on similar consideration but with plate thinness assumptions are used in a probabilistic inversion for elastic and mass properties from acceleration data. Finally, predictions of structural behavior based on the information from the inversion problem are made.