Oscillation periods of electric transmission lines with and without effect of bending deformation energy. (English) Zbl 1443.74193
Summary: 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.
MSC:
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74K99 | Thin bodies, structures |
| 74-05 | Experimental work for problems pertaining to mechanics of deformable solids |
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