周志勇  赵惠麟  刘承宗
    （东南大学建筑工程系  南京 210018）

[提要]  层间剪切、层间弯剪模型的刚度矩阵是三对角J acobi矩阵，利用递归算法可进行结构解耦。根据模态反问题理论，可用精确计算或实测的一个模态（一般为基本模态）识别结构的层间刚度值。所识别的层间刚度综合反映了结构的弯曲、剪切及轴向变形的影响，考虑了各杆件及各楼层之间的动态耦合效应，包括了原结构动静态各种因素的影响，从而提高了动力反应的计算精度。通过工程实例给出了该方法的工程应用。
[关键词]  层模型  模态反问题  刚度识别  工程应用

For lots of structures, such as framed structures, they always are simplified to a series multidegree-of-freedom system. A difficult problem in analysis is how to accurately determine the rigidity coefficients and the mass coefficients of the system. In order to determine them, we present a parameter identification method with the calculation or measurement of mode data according to analytical computation of inverse problem in vibration. By means of a recursive algorithm, the physical parameters and inner states of structure can be determined from one or two mode data. The method combines the dynamic coupling efforts and static deformation of the inner states in structure. The simplified system is more accurately coincident with the original structure and the calculation accuracy of dynamical response is heightened by using the method.
Keywords:  floor model; rigidity coefficients identification; inverse problem; vibration