Table 2 Similarity coefficients for the test model.

From: Seismic behaviour analysis of a wind turbine tower affected by sea ice based on a simplified model

Physical quantity

Dimension

Similarity coefficient

Length

L

\(\lambda_{l}\) = 0.02

Displacement

L

\(\lambda_{u}\) = \(\lambda_{l}\) = 0.02

Area

L2

\(\lambda_{A} = \lambda_{l}^{2}\) = 0.0004

Elasticity modulus

FL−2

\(\lambda_{E}\) = 6.2

Stress

FL−2

\(\lambda_{\sigma }\) = \(\lambda_{E}\) = 6.2

Strain

/

\(\lambda_{\varepsilon }\) = \(\lambda_{\sigma }\)/\(\lambda_{E}\) = 1

Density

FL−4T2

\(\lambda_{\rho }\) = 3.12

Time

T

\(\lambda_{t} = \lambda_{l} \sqrt {\lambda_{\rho } /\lambda_{E} }\) = 0.030

Acceleration

LT−2

\(\lambda_{a}\) = 0.41