中文摘要：

振动实验分析中，动态应变信息与位移信息具有互补性，位移响应大的地方应变响应一般较小，反之亦然。基于动态应变测量的应变模态分析理论及参数辨识与基于位移（或速度、加速度）测量的位移模态分析理论同源，但二者之间的理论关系及其相互修正方法缺乏深入有效的研究。以等截面直梁为对象，首先导出激励力-动态应变响应的频率响应函数表达式，讨论应变模态参数的辨识方法。在此基础上，进一步构建属于同一特征值的应变振型与位移振型之间的变换关系，并详细分析应变-位移变换矩阵的特性。仿真算例表明所建立变换关系的合理性与正确性。

英文摘要：

In the vibration test analysis, there is a mutual complementarity between dynamic strain data and dynamic displacement data, i.e. strong displacement response usually corresponds to weak strain response and vice versa. Strain modal analysis theory and parameter identification based on the measurement of dynamic strain are considered to be homologous with displacement modal analysis theory based on the measurement of displacement (or velocity, or acceleration), but the relationship and mutual modification of them are lack of further study. In this paper, taking a cantilever beam model as an example, the expression of the dynamic strain frequency response function to the exciting force is derived and the strain modal parameter identification method is discussed. On this basis, the transformation relation between the displacement modal and the strain modal with the same eigenvalue is established, and the characteristics of straindisplacement transformation matrix are deeply analyzed. The numerical simulation and example show the rationality and correctness of the transformation relation.