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- W2765146771 abstract "Abstract This paper proposes a non-stationary random response analysis method of structures with uncertain parameters. The structural physical parameters and the input parameters are considered as random variables or interval variables. By using the pseudo-excitation method and the direct differentiation method (DDM), the analytical expression of the time-varying power spectrum and the time-varying variance of the structure response can be obtained in the framework of first order perturbation approaches. In addition, the analytical expression of the first-order and second-order partial derivative (e.g., time-varying sensitivity coefficient) for the time-varying power spectrum and the time-varying variance of the structure response expressed via the uncertainty parameters can also be determined. Based on this and the perturbation technique, the probabilistic and non-probabilistic analysis methods to calculate the upper and lower bounds of the time-varying variance of the structure response are proposed. Finally the effectiveness of the proposed method is demonstrated by numerical examples compared with the Monte Carlo solutions and the vertex solutions." @default.
- W2765146771 created "2017-11-10" @default.
- W2765146771 creator A5031267539 @default.
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- W2765146771 date "2017-10-01" @default.
- W2765146771 modified "2023-09-23" @default.
- W2765146771 title "Non-stationary random response analysis of structures with uncertain parameters" @default.
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- W2765146771 doi "https://doi.org/10.1016/j.probengmech.2017.10.008" @default.
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