摘要
将非概率凸集合理论模型与有限元摄动理论相结合，提出求解有界不确定参数结构静力位移所在集合上下界的摄动数值算法．由于不需计算导数，故所提出的方法不仅可以拓广非概率凸集合理论模型的适用范围，而已可以提高计算效率．数值算例说明所提出的方法在分析有界不确定参数结构静力位移的有效性.
?In the study, by means of combining nonprobabilistic convex modeling with perturbation theory, the Perturbed numerical algorithm of the upper and lower bounds on the static displacements of structures with uncertain but bounded Parameters is derived. Because there is no needfor ca1culating the derivative of displacements, the presented method not only extends applicationsof nonprobabilistic convex modeling, but also increases its computational efficiency. The numericalexample illustrates the efficiency of the proposed method.
出处
《固体力学学报》
CAS
CSCD
北大核心
1997年第1期86-89,共4页
Chinese Journal of Solid Mechanics
基金
国家杰出青年科学基金
国家自然科学基金
关键词
结构
静力位移
非概率
凸集合
摄动数值算法
uncertain but bounded perameters, static displacements,nonprobabilistic convex set theoretic models, perturbed numerical algorithm
