The study of the oscillation periods of suspended wires has an engineering background in the oscillation of electric transmission lines. However, the oscillation periods of suspended wires have not yet been thoroughly studied, especially in terms of comparative analysis of their oscillation periods with and without the effect of bending deformation energy. Herein, mathematical expressions for the oscillation periods of suspended wires with and without the effect of bending deformation energy are derived. The bending deformation energy of suspended wires results from the inertial and gravitational forces during oscillation. As the sag ratio and length of the suspended wire are increased, the effect of bending deformation energy becomes more significant. A simple experimental apparatus is set up to measure the oscillation periods of suspended wires. The experimental data are consistent with the results of our expression including the effect of bending deformation energy. These expressions for the oscillation periods of suspended wires not only have theoretical value but could also be applied in the engineering design of electric transmission lines.

中文翻译：

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有无弯曲变形能影响输电线路的振荡周期

悬空线振荡周期的研究具有输电线路振荡的工程背景。然而，悬吊线的振荡周期尚未得到彻底研究，特别是在有和没有弯曲变形能影响的情况下它们的振荡周期的比较分析。在此，推导出受弯曲变形能影响和不受弯曲变形能影响的悬垂线振荡周期的数学表达式。悬垂线的弯曲变形能是由振荡过程中的惯性力和重力引起的。随着悬垂线的垂度和长度的增加，弯曲变形能的影响变得更加显着。搭建了一个简单的实验装置来测量悬垂线的振荡周期。实验数据与我们的表达式的结果一致，包括弯曲变形能的影响。这些悬空线振荡周期的表达式不仅具有理论价值，而且可以应用于输电线路的工程设计。