Vibration Induced by Subway Trains: Open-Trench Mitigation Analysis in the Time and Frequency Domains

Table 1

Model scaling of physical parameters.

Parameters	Scaling factor	Model/Prototype
Length	Cl	1/20
Density	Cρ	1/1
Young’s modulus	CE	1/30
Force	CF = Cl^3·Cρ	1/8000
Strain	Cε = Cl·Cρ·CE^−1	1/0.667
Stress	Cσ = CE·Cε	1/20
Acceleration	Ca = am/ap	1/1
Velocity	= CE^0.5·Cρ^−0.5	1/5.477
Displacement	Cu = Cl·Cε	1/13.333
Dynamic time	Ct = Cl·Cρ^0.5·CE^−0.5	1/3.651
Frequency	Cω = Ct^−1	1/0.274