Table 1 Scaling ratios for various physical parameters of the aero-elastic model.
Physical quantity | Proportional relationship | Theoretical scale ratio | Actual scale ratio | Values for the test model |
|---|---|---|---|---|
Span (l) | \(\lambda_{l} = l_{{\text{p}}} /l_{{\text{m}}}\) | 20:1 | 20:1 | 3.4 m |
Sag (h) | \(\lambda_{h} = h_{{\text{p}}} /h_{{\text{m}}}\) | 10:1 | 10:1 | 0.34 m |
Wind speed (U) | \(\lambda_{U} = U_{{\text{p}}} /U_{{\text{m}}}\) | 1:1 | 1:1 | 4–10 m/s |
Density (ρ) | \(\lambda_{\rho } = \rho_{{\text{p}}} /\rho_{{\text{m}}}\) | 1:1 | 1:1 | 1.293 kg/m3 |
Quality (m) | \(\lambda_{m} = \lambda_{\rho } \lambda_{l}^{2}\) | 4000:1 | 250:1 | 0.1145 kg |
Frequency (f) | \(\lambda_{f} = \lambda_{U} /\lambda_{l}\) | 1:20 | 1:20 | – |
Elastic modulus (E) | \(\lambda_{E} = \lambda_{\rho } \lambda_{U}^{2}\) | 1:1 | 1:1 | 73.0 GPa |
