Dynamic Reliability of Multi-Degrees-of-Freedom Structures with Hysteretic Characteristics Under Combined Random Loads

by Takashi Mochio, Mitsubishi Heavy Industry Ltd, Japan,

Document Type: Proceeding Paper

Part of: Structural Safety and Reliability


A method to estimate the dynamic reliability of hysteretic structures under combined loads is investigated. The response statistical moments of structures, with hysteretic characteristics approximated by Y.K. Wen's mathematical model, are obtained by using the Fokker-Planck equation method with a cumulant truncation technique. Furthermore, first passage probability considering stochastic load combinations is derived by the load coincidence method under the assumption of a Poisson process for threshold crossings. The uncertainties of power spectral densities pertinent to loads are also considered through the derivation of first passage probability. This paper deals with the formulation for a multi-degrees-of-freedom system, and demonstrates the analysis of three-degrees-of-freedom structure as a numerical example.

Subject Headings: Dynamic loads | Structural reliability | Load factors | Stochastic processes | Power spectral density | Numerical analysis | Load combinations | Statistics

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