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Table 4 The similarity coefficients of the TRTS (partial data refer to [37])

From: Dynamic responses of a train-track-bridge coupled system under earthquakes

Similarity coefficient

Symbol

Scaling equation

Value

Description

Acceleration

SA

SA = SA

1/1

Basic parameter

Length

SL

SL = SL

1/10

Basic parameter

Stress

Sσ

Sσ = Sσ

1/2

Basic parameter

Elastic modulus

SE

SE = Sσ

1/2

 

Force

SF

SF=Sσ·SL2

1/200

 

Stiffness

SS

SS=Sσ·SL

1/20

 

Time

ST

ST = (Sl·Sa)0.5

0.316

 

Speed

Sv

Sv = SL / ST

0.316