Approximate methods for computing the reliability of hysteretic structural systems with deterministic or uncertain parameters under random seismic excitations are presented. As a measure of structural damage state the cumulative plastic deformation is considered. The dynamic reliability problem for hysteretic structures with uncertain parameters is solved by an approximate method based on response surface methodology. This method makes use of the analytical form of the probability density functions of cumulative damages obtained for deterministic systems. The statistics that are needed to construct the probability density functions are estimated by using a rotatable central composite design. A numerical example is illustrated for three-degree-of-freedom bilinear hysteretic structures subjected to white noise excitations.
展开▼
