区间分解组合迭代算法用于非确定结构系统的静力区间分析

摘要

While the deviation of the structural parameters vector is large, iterative converge condition would not be met, the interval FEM equations of uncertain structural system can not be directly solved by the amended iterative method. For this reason, the strategy of interval dividing and combination is adopted, and the iterative method based on interval dividing and combination is presented with reversible solving process. Considering the interdependence between interval matrix elements and interval vector, we directly divide the interval of structural parameters, transform the problem of solving a static governing equation of interval FEM into that of solving a series of subinterval equations of interval FEM. Numerical examples illustrate the efficien- cy of the proposed method.%对于结构参数向量界限绝对离差较大的非确定结构系统，迭代计算收敛条件难以满足，修正迭代算法不能直接用于其区间有限元静力控制方程的求解。采用区问分解组合求解策略，考虑区间矩阵、向量元素间的相关性，直接对结构参数区间进行区间分解，将非确定结构系统区间有限元控制方程的求解转化为若干个子区间有限元静力控制方程的修正迭代求解，提出了一种求解过程可逆的区间分解组合迭代算法，用于结构参数向量界限绝对离差较大的非确定结构系统的静力区间分析。算例结果表明，该方法是有效的。