基于ARMA模型和时空Kriging插值联合模拟大跨结构的脉动风速时程

摘要

ARMA model was employed to simulate fluctuating wind speed time-history series for large-span structures with time and space correlativity.Whittle iteration method was improved to derive matrices of auto-regressive and moving-regressive coefficients.The corresponding computational program was developed with MATLAB software. Numerical examples indicated that these two methods are efficient and speedy.In addition,the spatial-temporal Kriging interpolation method was also proposed to simulate the fluctuating wind speed time-history series of unknown pointes near the simulated points based on ARMA model.Simulation results showed that the approach is swift and accurate and available to simulate fluctuating wind speed time-history series for complex long-span space structures and high-rise buildings containing plenty of joints.%采用ARMA模型模拟具有时间和空间相关性的大跨结构的随机风速时程。并对Whittle递推算法进行了改进，求解出自回归系数和滑动回归系数矩阵。利用MATLAB软件编制了模拟大跨桥梁的风速时程模拟程序，运行结果表明：改进的方法计算效率高，模拟精度符合要求。然后又利用时空Kriging插值法对控制点区域内节点的脉动风速时程进行模拟，其模拟精度较好且求解过程快，可用于大跨空间结构、超高层建筑等含有大量节点的结构风场模拟。