中文摘要：

利用连续体的结构摄动理论，得到微损伤简支梁固有频率变化与结构损伤位置及损伤程度的函数．通过对该函数关系的变换，得到了损伤位置及损伤程度与实测频率的关系，推导出了结构损伤定位公式．该公式简洁，适于工程应用．使用本文方法和有限元方法对比进行实例分析，验证了本文所得公式的可靠性．与有限元方法相比，本文方法既避免了有限元方法对计算机的依赖，又避免了有限元方法中精度受网格尺寸影响这一局限性．

英文摘要：

Based on the perturbation theory, it was proved that the change of frequencies was due to the function of structure damage location and damage levels. The formula of damage location was obtained with some function transformation. The formula obtained was simple in form, which made it more convenient to apply in engineering. Taking a uniform cross-sectioned simply supported beam as an example, the change of frequencies between the damaged and intact beam was used to locate and qualify beam damage. In this case, figures and tables in this paper indicated the reliability of the formula. Compared with finite element method, this method did not need to rely on computer and was not affected by the mesh size.