Finite Element Dynamic Reliability Analysis with Condensationby Sankaran Mahadevan, Vanderbilt Univ, Nashville, United States,
Sandeep Mehta, Vanderbilt Univ, Nashville, United States,
Abstract: This paper presents the use of matrix condensation in stochastic finite element-based reliability analysis of structures subjected to dynamic loading, in the context of modal superposition. Reliability estimation is done through the computation of the sensitivity of dynamic structural response to the basic random variables by applying the chain rule of differentiation to the deterministic analysis. Since such a procedure requires large amounts of storage and computation, matrix condensation is incorporated in the sensitivity analysis to improve computational efficiency. A numerical example is presented to illustrate the procedure.
Subject Headings: Dynamic structural analysis | Structural reliability | Dynamic loads | Finite element method | Sensitivity analysis | Computing in civil engineering
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