Dimension reduction based spectral representation of stochastic fluctuation wind field simulation

作者：Liu, Zhang Jun; Liu, Zeng Hui

来源：Journal of Vibration Engineering, 2018, 31(1): 49-56.

DOI：10.16385/j.cnki.issn.1004-4523.2018.01.006

• Dimension reduction
• Random functions
• Spectral representation methods
• Stochastic vibration
• Wind field

With consideration of the formulation of random functions, which serve as random constraints, a renewed scheme of the spectral representation method (SRM) with orthogonal random variables for the simulation of the stochastic fluctuation wind field is proposed in this paper. In terms of the number of random variables and the constraint conditions in the formulation of the SRM, the differences between the conventional SRM with random phase angles and the SRM with orthogonal random variables are clarified. By representing the set of the orthogonal random variables as the orthogonal random functions with respect to two elementary random variables, the random degrees of the SRM with orthogonal random variables are greatly reduced from tens of thousands to 2. As a result, the computational effort of the stochastic fluctuation wind field simulation is effectively reduced. The effectiveness and availability of the proposed approach are verified by constructing two kinds of orthogonal random functions to accurately simulate the horizontal fluctuation wind field acting along the height of a high-rise building. It is indicated that the proposed approach can reflect the probability characteristics of the fluctuation wind field at the density function level with only two elementary random variables. And it only needs to generate 233 representative samples which constitute a complete probability set. Thus, the proposed approach can combine with the probability density evolution theory to accurately analyze the reliability of complicated engineering structures subjected to wind excitations.

• 出版日期2018
• 单位三峡大学