Stochastic Fluctuation under Incremental Loading considering Coupling of Randomness and Nonlinearity

Abstract eng:
In structural engineering, the resources of stochastic fluctuation phenomenon include in randomness of variables and nonlinearity of structure, which is verified based on Taylor expansion of structural response function. In order to estimate the influence of each random variable on randomness of response rationally, two models are proposed, respectively. One is dual model of global sensitivity index, and the other is coupling coefficient of randomness and nonlinearity. Meanwhile, the probability density evolution equation for nonlinear development process is introduced into formulating the variation process of these indexes, together with their numerical solution. Finally, a reinforced concrete (RC) frame structure is used to verify the stochastic fluctuation phenomenon, the proposed models and their numerical solution. It can be found that the influences of different variables on the same response are different. Overall, the random loads are important in any cases. It is also worthy to point out that all random variables are necessary if higher order moment or reliability is analyzed.

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