中文摘要：

随着外荷载的增加，结构刚度逐渐退化，结构的固有频率会越来越小，当外荷载达到临界荷载失去稳定时，结构固有频率等于零。利用结构稳定性与固有频率之间的这种相关性，对单层球面网壳结构稳定性监测方法进行了研究。利用ANSYS对结构进行分析，得到不同外荷载作用下结构的固有频率；然后采用人工神经网络的方法，对已知数据进行学习，获得结构稳定性状态与固有频率间的非线性映射关系，经过学习后的神经网络可用来对结构的稳定性进行监测，并指出该监测方法需进一步研究的方向。

英文摘要：

The structural stiffness will degrade gradually and structural natural frequency of vibration will decrease according with the increase of extemal load. When extemal load is close to critical load, the structure will lose stability and natural frequency of vibration will be zero. The structural stability monitoring method of single-layer latticed domes was studied by utilizing relationship of stability and natural frequency. The values of structural natural frequency of vibration under the condition of different external load were obtained by using ANSYS. The artificial neural network （ANN） was adopted to obtain the nonlinear relationship between structural stability and natural frequency of vibration with the known data. The trained ANN can be used to monitor structural stability. Finally, the items that need to be study further were put forward.