中文摘要：

应用动力学原理对网壳屈曲荷载与自振频率的关系进行了分析，并利用有限元法对某施威德勒型球面网壳进行了线性屈曲、非线性屈曲、自振频率分析。对比了网壳线性屈曲与非线性屈曲分析所得的屈曲荷载值，验证了荷载-自振频率法所得屈曲荷载值的可靠性；对荷载-自振频率曲线进行了拟合，推导了拟合公式。结果表明：拟合公式计算结果与有限元分析结果相对误差小于4．3％；荷载-自振频率法对网壳的稳定性监测具有一定的参考价值和实践指导意义。

英文摘要：

By using the principle of dynamics, the relationships between buckling load and eigenfrequency of latticed domes were analyzed. The linear buckling analysis, the nonlinear buckling analysis and the eigenfrequency analysis of a Schwedler latticed dome were conducted by using the finite element method. In contrary to the buckling load values obtained from the linear and nonlinear buckling analysis, the reliabilities of buckling load values obtained from the method of load and eigenfrequency were substantiated and the load and eigenfrequency fitting curves were obtained, meanwhile, the corresponding fitting formulas were deduced. The results show that the relative error of fitting formula of calculated results and finite element analysis results was less than 4. 3% the load and eigenfrequency relation method has some referential worth and practical guidance significance in latticed domes stability monitoring.