考虑冗余度的杆系结构构件重要性评价方法

为杆系结构的安全性与合理设计提供科学性依据,本文基于冗余度理论提出一种定量评价铰接杆系结构构件重要性的方法.首先,基于单元冗余度分布的均衡性,定义杆系结构单元冗余度标准差和单元冗余度平均值的商为结构冗余度分布系数.其次,通过考察拆除不同构件的情况下,剩余结构冗余度分布系数的大小来定量分析杆系结构构件重要性,并定义剩余结构冗余度分布系数为构件重要性系数.算例分析表明,冗余度分布系数可以反映结构分布的均匀性,本文方法可以定量评价杆系结构构件重要性:结构冗余度分布系数越小则结构冗余分布越均匀,结构鲁棒性越好；构件j对应的剩余结构单元冗余度分布系数越大,说明拆除杆件j对结构鲁棒性的影响越大,构件重要性越高.
An evaluation method for the component importance of pin-jointed structures based on the redundancy theory was proposed. On the basis of the uniformity of the element-redundancy, the quotient of the standard deviation and the mean value of the element-redundancy was defined as the redundancy distribution index. The component importance of pin-jointed structures was evaluated by the redundancy distribution indexes of the remaining structures in the cases with different component removals. The redundancy distribution indexes of the remaining structures were defined as the component importance indexes. Three practical examples were given for illustration. The results showed that the redundancy distribution index can reflect the uniformity of the element-redundancy, and the proposed method is able to effectively evaluate the component importance of pin-jointed structures. The smaller the redundancy distribution index is, the more uniform the structural redundancy distribution is, which indicates better structural robustness. The higher the component importance index is, the greater the impact of corresponding member on the structural robustness is.