Abstract
Natural vibration analysis of cables is required in various fields, such as transmission lines and elevator ropes. Actual cables are often non-uniform. Because an exact solution is difficult to calculate in this case, an approximate solution must be calculated through numerical analysis. It is important to define the admissible function in the assumed method, which is widely used among numerical analysis methods. However, selecting an admissible function for a problem in which only geometric boundary conditions exist, such as spring-end support cable, is difficult. In this study, we propose the admissible and quasi-comparison functions for the addressed problem and compare the results to the finite element method results. This study can be used for the analysis of various structures in which cables are used.
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