斜拉索由于其几何非线性，其精确解尚未解决。
Due to geometric nonlinearity, the precise solution to stayed cables remains unsolved.
推导了弹性轴向行进索无阻尼线性受迫振动解，用数值方法求得有阻尼行进索受迫振动和自激振动响应。
The exact solution of linear, undamped forced vibration response is developed, and the damped forced vibration as well as the self-excited oscillation are obtained numerically.
编制了基于弹性悬链线单元的斜拉索的非线性有限元分析程序，比较了斜拉索的悬链线解析解、抛物线解析解和基于弹性悬链线单元的有限元解的计算结果。
Nonlinear finite element program of stayed cable based on the elastic catenary element is programmed. The analytic analysis and finite element analysis of different stayed cables are compared.
文中首先建立了拉索的有限元模型，对该模型进行了模态分析，并通过理论解的计算验证了数值模型的准确性。
The finite element model was established first, then the modal analysis was processed, and accuracy of the model was verified by comparing the theoretical solution with the numerical solution.
算例表明，RITZ法给出的显式解具有较好的精度，可方便地用于振动法测估刚性拉索的索力。
The example shows that the RITZ solution is accurate enough and it can be used conveniently to measure and estimate the tension of rigid cables with vibration method.
结果表明，边界波处理方法中的基尔霍夫和瑞利-索末菲理论，分别与直边衍射的严格电磁理论解中的电场分布和磁场分布符合较好。
The field distributions given by Kirchhoff theory and Rayleigh-Sommerfield theory are studied respectively, and further comparisons with the exact electromagnetic theory are also given.
结果表明，边界波处理方法中的基尔霍夫和瑞利-索末菲理论，分别与直边衍射的严格电磁理论解中的电场分布和磁场分布符合较好。
The field distributions given by Kirchhoff theory and Rayleigh-Sommerfield theory are studied respectively, and further comparisons with the exact electromagnetic theory are also given.
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