静力荷载作用下基于敏感性的单层球壳冗余度分析方法研究

冗余特性是决定结构鲁棒性的重要因素，是损伤情况下结构安全性的体现。为合理评估单层球面网壳结构在静力荷载作用下的构件冗余度，本文以结构的应变对单元材料弹性模量的敏感性作为评价指标，综合考虑单元弹性模量的变化对结构的影响，给出了结构构件冗余度的评价方法。为验证方法的有效性，本文将其与利用结构极限承载能力的冗余度评价方法相比较。结果表明基于应变敏感性与利用极限承载能力分别计算的结构冗余度两者相一致。冗余度值的大小是结构单元重要性的衡量指标，冗余度值小的结构单元，其失效后将对结构整体性能产生重要影响，是结构的关键构件。

Redundancy of single-layer reticulated dome under load based on response sensitivity

Redundancy represents a key factor for structural robustness. It reflects the security of structure under damage. In this paper, an analysis method based on the structural response sensitivity is proposed as the measurement for the redundancy of single-layer reticulated dome under load. The response sensitivity is the derivation of element strain to elastic modulus of structural materials. The effect of changing of the elastic modulus on the structure is considered in this method. Further, the other redundancy represented by structural load capacity is used to test the effectiveness of the proposed method. It is shown that the redundancy of the structure based on the response sensitivity is consistent with the result obtained by the load capacity. The redundancy is an index which indicates whether or not the component is importance in the structure. For those elements with small redundancy are the key components in the structure, whose failure will cause great influence on the structure.