Dynamic reliability of large frames

Abstract This paper presents a stochastic finite element method (SFEM) for the reliability analysis of dynamically loaded large frames. This is facilitated by the computation of the sensitivity of dynamic response to the randomness in the dynamic excitation as well as in structural properties, by applying the chain rule of differentiation to the deterministic analysis. Since such computation requires large amounts of memory and computational time, matrix condensation is incorporated in SFEM for structures with a large number of degrees of freedom. The computation of response sensitivity and variability is formulated in the context of stiffness and mass matrix condensation. A numerical example with a six-story frame is used to illustrate the proposed method.

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