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- W2148966471 abstract "In this paper, we are interested in using the incomplete modal data identified from the system to update the robust failure probability that any particular response of a nonlinear structural dynamic system exceeds a specified threshold during the time when it is subjected to future stochastic dynamic excitation. Uncertainties from structural modeling, the modeling of the stochastic excitation that the structure will experience during its lifetime and any other uncertainties can all be taken into account. A new efficient approach based on stochastic simulation methods, which is very robust to the number of random variables and uncertain model parameters, is proposed to update the robust reliability of the structure. The efficiency and effectiveness of the proposed approach are illustrated by a numerical example involving a nonlinear structural dynamic model of a building. INTRODUCTION Reliability considering model uncertainties in addition to the modeling of the uncertain excitation is termed as ‘robust reliability’ [1]. Due to space limitations, readers can refer to the journal version of this paper for more detailed reviews of other existing approaches. One common shortcoming for all the existing approaches is that they all experience problems handling the problem involving a huge number of uncertain model parameters whose joint PDF is updated by high-dimensional vibration data. In this paper, an efficient stochastic simulation method is presented for computing the updated robust failure probability (or its compliment robust reliability) of a dynamic system using system data when the system is subjected to future stochastic excitation. The updating is based on incomplete modal data including modal frequencies, damping ratios and partial mode shapes of some of the dominant modes. Let , , , ˆ ˆ ˆ { , , : 1... , 1... } m s m s m s D m M s S ω ζ ψ ≡ = = be the experimentally obtained modal data from a linear structural dynamic system, consisting of modal frequencies , ˆm s ω + ∈ , damping ratios , ˆm s ζ + ∈ , and complex mode shape components , ˆ , O N m s ψ ∈ where NO is the number of measured DOFs, M is the number of observed modes and S is the number of modal" @default.
- W2148966471 created "2016-06-24" @default.
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- W2148966471 date "2014-01-01" @default.
- W2148966471 modified "2023-09-26" @default.
- W2148966471 title "Stochastic simulation based robust reliability updating of nonlinear structural dynamic systems based on incomplete modal data" @default.
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