中文摘要：

结构的响应敏感性是用来描述结构行为与设计参数之间关系的函数，文章基于响应敏感性对结构冗余特性进行研究，提出基于结构应变能敏感性的冗余度评价方法，即以结构整体应变能对构件材料弹性模量的敏感性极值作为冗余度评价指标，考虑局部损伤对结构整体的影响。在Dibaj和Penzien求解多点输入响应弹塑性动力方程的基础上推导多点输入下结构应变能对构件弹性模量敏感性的一整套计算公式，再以此为基础衡量结构构件在多点输入下的冗余度。以2个跨度23．4m、矢跨比1／2的K6型单层网壳多点输入振动台倒塌试验模型为检验对象，对比完善结构和人为设置薄弱区结构模型的倒塌过程，表明文中冗余特性评价方法能全面反映结构的整体性能，可以正确识别结构的薄弱区域和关键构件所在。

英文摘要：

Structural response sensitivity is generally used to describe the relationship between structural behavior and design parameters. Based on the sensitivity analysis of structural strain energy, a new method is developed to assess the structural redundancy. The sensitivity extremum of the structural strain energy to the elastic modulus of members is used as the measurement index of structural redundancy and the effect of the local damage of structural members on the whole structure are considered. In addition, based on the elastic-plastic dynamic equation proposed by Dibaj and Penzien, a series of formulas corresponding to the sensitivity relationship between the structural strain energy and the elastic modulus are derived under multi-support excitation and the redundancy of structure members is calculated subsequently. Two shaking table test models of single-layer dome with the span of 23.5m and rise-span ratio of 0.5 are investigated by the presented method. By comparing with the collapse process of the perfect model and defect model, the overall performance and the weakness of structures are fully reflected. The redundancy index can be used to indicate the weak members in the structure.