摘要
当结构的不确定参量可用区间限界时，将区间分析和有限元方法相结合，可建立起区间有限元方法。区间控制方程组的求解是其核心问题。根据所推导出的区间变量的运算特性，提出了求解区间有限元静力控制方程的一种迭代解法。将区间方程组的求解归结为一点值迭代过程。算倒分析表明了文中的方法计算量小，易于实施，是实用和可行的。
Abstract: When the uncertainties of structural parameters can be bounded in an interval, the interval finite element method will be established via the combination of interval analysis and the traditional finite element method (FEM). One of its most important problems is the solving of the governing equations. According to the arithmetic rules of interval variables we developed in a previous paper and this paper, an iterative method for solving the static governing equations of the interval FEM of structures is presented. In our method, the solving of the characteristic parameters of displacement field is transformed into an iterative process. The calculated results of a numerical example, as summarized in Table 1 and Figure 2, show that the presented method is reliable, easy to implement, and less expensive.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
2002年第1期20-23,共4页
Journal of Northwestern Polytechnical University
基金
国家自然科学基金(5957504
59775032)
航空基金(00B53010)资助
