中文摘要：

探讨了剪切型框架结构模态参数对损伤的敏感性，有助于进行进一步的结构损伤识别。从结构的固有振动方程出发，根据剪切型框架结构刚度矩阵特性，导出了结构固有频率、振型和振型斜率的敏感性系数表达式。对一个10层剪切型框架结构的数值分析表明，对于绝对敏感性系数，高阶模态参数比低阶模态参数对损伤敏感；对于相对敏感性系数，同一阶频率对不同处损伤的敏感性及不同阶频率对同一处损伤的敏感性均不相同；振型和振型斜率相对敏感性系数的最大值一般发生在最靠近振型节点的自由度处和振型斜率绝对值最小处，不能反映结构的损伤位置信息。

英文摘要：

Sensitivity analysis of modal parameters the purpose of detecting structural damage. Based of shear-type frame structures was carried out for on the characteristic of shear-type frame structural stiffness matrix, sensitivity coefficient expressions of natural frequency, mode shape and mode shape slope with respect to inter-story stiffness were derived from the natural vibration equation. Then, sensitivity analysis was applied to a 10-story shear-type frame structure. The results show high order modes are more sensitive than low order ones to damage for the absolute sensitivity coefficients. For the relative sensitivity coefficients, different frequencies have different sensitivities to certain damage, and a certain frequency also has different sensitivities to damages occurred at different location. The maximum of the relative sensitivity coefficient of mode shape generally appears at the location where is closest to mode shape node, and the maximum of the relative sensitivity coefficient of mode shape slope generally appears at the location where the absolute value of mode shape slope is minimum. Damage can not be located from the maximum change rate of mode shape and mode shape slope.