Table 8 Frequencies calculated using different boundary conditions
From: Cable force estimation of cables with small sag considering inclination angle effect
Cable | Boundary Condition | 0° | 30° | 60° | 90° |
|---|---|---|---|---|---|
Cable I | Hinged | 0.440 | 0.436 | 0.429 | 0.426 |
Elastic \( {K}_{rot}^{\hbox{'}} \) | 0.440 | 0.436 | 0.429 | 0.426 | |
Elastic \( {K}_{rot}^{\hbox{'}\hbox{'}} \) | 0.440 | 0.436 | 0.429 | 0.426 | |
Elastic \( {K}_{rot}^{\hbox{'}\hbox{'}\hbox{'}} \) | 0.440 | 0.436 | 0.429 | 0.426 | |
Fixed | 0.440 | 0.437 | 0.430 | 0.426 | |
Cable II | Hinged | 1.352 | 1.335 | 1.299 | 1.280 |
Elastic \( {K}_{rot}^{\hbox{'}} \) | 1.370 | 1.355 | 1.322 | 1.306 | |
Elastic \( {K}_{rot}^{\hbox{'}\hbox{'}} \) | 1.377 | 1.362 | 1.330 | 1.314 | |
Elastic \( {K}_{rot}^{\hbox{'}\hbox{'}\hbox{'}} \) | 1.381 | 1.366 | 1.334 | 1.317 | |
Fixed | 1.392 | 1.377 | 1.347 | 1.332 | |
Cable III | Hinged | 2.684 | 2.632 | 2.527 | 2.472 |
Elastic \( {K}_{rot}^{\hbox{'}} \) | 3.012 | 2.987 | 2.936 | 2.911 | |
Elastic \( {K}_{rot}^{\hbox{'}\hbox{'}} \) | 3.060 | 3.036 | 2.989 | 2.965 | |
Elastic \( {K}_{rot}^{\hbox{'}\hbox{'}\hbox{'}} \) | 3.079 | 3.056 | 3.009 | 2.986 | |
Fixed | 3.123 | 3.101 | 3.056 | 3.033 |