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在同时考虑结构材料参数和风荷载具有随机性的情况下,通过Karhunen-Loève级数展开法,分别对结构参数随机场和风荷载随机过程进行离散;利用混沌多项式对结构随机响应量进行展开;在此基础上,建立了桁架结构动力问题的谱随机有限元方程。针对一大跨平面桁架结构,利用谱随机有限元法(SSFEM),计算了该结构在风荷载作用下动力位移响应的统计参数,并与蒙特卡罗(MC)法模拟的结果进行了对比,验证了该方法的可行性,并研究了该方法的计算效率。
In the meantime, considering randomness of structural material parameters and wind load, Karhunen-Loeve series expansion method is used to discretize the stochastic process and the stochastic process of wind load respectively. The chaotic polynomial is used to expand the random response of the structure. Based on the above, the stochastic finite element equation of the truss structure is established. For a long span plane truss structure, the statistical parameters of the dynamic displacement response of the structure subjected to wind loads are calculated by using the spectral stochastic finite element method (SSFEM), and compared with the Monte Carlo (MC) method. The feasibility of this method is verified and the computational efficiency of this method is studied.