Reliability Study of Randomly Imperfect Beam-Columnsby D. G. Liaw, Purdue Univ, United States,
T. Y. Yang, Purdue Univ, United States,
Abstract: In this study, the effect of random initial geometric imperfections was treated as a set of equivalent random initial forces. This concept enables the direct employment of existing stochastic finite element methods that were developed for treating random forces. This formulation could be straightforwardly used to study the reliability of practical beam-column problems with complex loadings, realistic boundary conditions, arbitrary geometries, and imperfections, for which analytical solutions are difficult to obtain. To establish the validity of the present formulation, an example including random loadings and uncertain material properties was solved. The second example is a simply supported beam-column with random geometric imperfections and uncertain material properties.
Subject Headings: Finite element method | Material properties | Geometrics | Stochastic processes | Beam columns | Load factors | Employment | Boundary conditions
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