Response Variability and Reliability of Stochastic Systems Using the Weighted Integral Method

by George Deodatis, Princeton Univ, Princeton, United States,
Masanobu Shinozuka, Princeton Univ, Princeton, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


After obtaining an exact expression of the stochastic stiffness matrix in terms of random variables called weighted integrals, the response variability and the safety index of stochastic frame structures are calculated in this paper. The response variability is calculated using a first-order Taylor expansion and the safety index using the advanced first-order second-moment approach. It is concluded that the potential energy and virtual work approaches produce identical results for the mean value and the variance of nodal displacements. On the contrary, the two approaches produce different values for the safety index of nodal displacements. These values for the safety index obtained using the two approaches compare very well.

Subject Headings: System reliability | Stochastic processes | Integrals | Structural safety | Safety | Displacement (mechanics) | Matrix (mathematics) | Frames

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