Table 1 Similitude ratios of physical quantities for the dynamic test.
Physical quantity | Scale factor | Value |
|---|---|---|
Length | \({S}_{l}\) | 20 |
Area | \({S}_{A}={S}_{l}^{2}\) | 400 |
Velocity of flow | \({S}_{u}={S}_{l}^{0.5}\) | 4.47 |
Quantity of flow | \({S}_{Q}={S}_{l}^{2.5}\) | 1788.8 |
Elastic modulus | \({S}_{E}\) | 20 |
Stiffness | \({S}_{k}={{S}_{E}S}_{l}\) | 400 |
Density | \({S}_{\rho }={S}_{E}/{S}_{l}\) | 1 |
Mass | \({S}_{m}={S}_{\rho }{S}_{l}^{3}\) | 8000 |
Force | \({S}_{F}={S}_{l}^{3}\) | 8000 |
Pressure | \({S}_{P}={S}_{l}\) | 20 |
Strain | \({S}_{\varepsilon }\) | 1 |
Stress | \({S}_{\sigma }={S}_{\varepsilon }{S}_{E}\) | 20 |
Displacement | \({S}_{x}={S}_{l}\) | 20 |
Acceleration | \({S}_{a}={S}_{x}/ {S}_{t}^{2}\) | 1 |
Time | \({S}_{t}={({S}_{m}/ {S}_{k})}^{0.5}={{S}_{l}}^{0.5}\) | 4.47 |
Frequency | \({S}_{f}={1/S}_{t}\) | 1/4.47 |