Stochastic Finite Element-Based Reliability Analysis of Dynamically Loaded Framesby Sankaran Mahadevan, Vanderbilt Univ, Nashville, United States,
Sandeep Mehta, Vanderbilt Univ, Nashville, United States,
Abstract: This paper presents the use of the Stochastic Finite Element Method (SFEM) for reliability analysis of steel frames subjected to dynamic loading, in the context of modal superposition. This is achieved by computing the sensitivity of the dynamic response to the basic random variables, by applying the chain rule of differentiation to the deterministic analysis. Computational efficiency is ensured by the use of reliability sensitivity indices to discard random variables with insignificant influence on the reliability. A numerical example is presented to illustrate the procedure.
Subject Headings: Finite element method | Dynamic structural analysis | Dynamic loads | Stochastic processes | Steel frames | Dynamic response | Dynamic analysis
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