In this research, the free vibrations of a four-story building with specific boundary conditions have been investigated and the health of the building is monitored based on experimental results using the analytical method of continuous wavelet; then, the damage that may occur to these structures has been evaluated and analyzed. The finite element software was used to model the building by the sandwich model. In this four-story building, a sandwich panel with eight layers of material (polystyrene, concrete, steel, and concrete) was used symmetrically. Then, the fourteen natural frequencies of the sandwich structure are compared with the experimental model and the shape of the main modes of the building, which is effective in monitoring the health of the structure, has been obtained. An error of less than 2.5% reveals a good match between the results of the two models. According to experimental results, the damage location was successfully identified using the coif5 function with a scale parameter of 8 compared to other wavelet functions and shows more perturbation of coefficients at the damage locations. Thus, the relative maximum and minimum jumps in the wavelet coefficients occurred at the location of the damage and by considering the maximum or minimum coefficients of the wavelet generated at the damage location as the center of damage, the damage center can be identified with an error of less than 8%. Moreover, the effects of higher modes in displaying the damage intensity are more noticeable, so that in the torsional mode of the structure, the maximum wavelet coefficients are greater and the intensity of the damage is more visible.

在这项研究中，研究了具有特定边界条件的四层建筑物的自由振动，并使用连续小波分析方法根据实验结果对建筑物的健康状况进行了监测。然后，对这些结构可能发生的损坏进行了评估和分析。使用有限元软件通过三明治模型对建筑物进行建模。在这座四层楼的建筑中，对称使用了八层材料（聚苯乙烯，混凝土，钢和混凝土）的夹芯板。然后，将三明治结构的十四个固有频率与实验模型进行比较，得出了有效监测建筑物健康状况的建筑物主要模式的形状。误差小于2。5％表明两个模型的结果之间具有很好的匹配性。根据实验结果，与其他小波函数相比，使用比例参数为8的coif5函数成功确定了损坏位置，并且在损坏位置处显示出更多的系数扰动。因此，小波系数的相对最大和最小跳变发生在损伤位置，并且通过将在损伤位置处产生的小波的最大或最小系数视为损伤中心，可以将损伤中心识别为错误。少于8％。此外，较高模式在显示损伤强度方面的效果更加明显，因此在结构的扭转模式中，最大小波系数更大，损伤强度也更明显。