Finite Element Dynamic Reliability Analysis with Condensation

by Sankaran Mahadevan, Vanderbilt Univ, Nashville, United States,
Sandeep Mehta, Vanderbilt Univ, Nashville, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability


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 | Dynamic loads | Computing in civil engineering | Finite element method | Structural reliability | Matrix (mathematics) | Sensitivity analysis | Dynamic response

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