随机-区间混合参数桁架结构有限元分析方法研究

摘要

The finite element analysis method for random-interval structures with mixed parameters under the random loads action was studied. Based on the random factor method and interval factor method, the finite element equations of the structures are built considering the both of parameters structures. The computational expressions of the mean value and mean variance of the structural displacement response and stress response were developed by the algebra method. Through taking examples, the influences of the randomness and interval of the structural parameters on the structural displacement and stress response were analyzed, and the rationality and feasibility of presented model and approach were validated.%以随机-区间混合参数桁架结构为对象,研究了其在随机力作用下的有限元分析方法.利用随机因子法和区间因子法,建立了结构中随机参数和区间参数同时存在时的有限元方程;利用代数综合法推导出结构位移响应均值、方差的计算表达式.最后通过算例分析了结构物理参数、几何参数和外栽荷为随机变量或区间变量时对结构位移和应力响应的影响,并验证了模型和方法的合理性与可行性.