Dynamic Response of Bridge-Landslide Parallel System under Earthquake

Table 2

Scale factor.

Parameter type	Physical quantity	Dimension	Similarity ratio (prototype/model)
Physical dimension	Length (l)	Cl	1 : 100
	Mass density (ρ)	Cρ	1 : 1
Material characteristics	Elastic modulus (E)	CE = ClCρ	1 : 100
	Poisson’s ratio (μ)	Cμ = 1	1 : 1
	Gravity (γ)	Cγ = Cρ	1 : 1
	Cohesion (c)	Cc = ClCρ	1 : 100
	Internal friction angle (φ)	Cφ = 1	1 : 1
	Acceleration (a)	Ca = 1	1 : 1
Load	Time (s)	Ct = Cl^0.5	1 : 10
	Stress (σ)	Cσ = ClCρ	1 : 100
	Strain (ε)	CƐ = 1	1 : 1
Dynamic characteristics	Frequency (f)	Cf = Ca^0.5Cl^−0.5	1 : 0.1
	Displacement (u)	Cu = Cl	1 : 100
	Speed ()	Cv = Cl^0.5Ca^0.5	1 : 10
	Input acceleration (a)	Ca = 1	1 : 1
Structural characteristics	Frequency (f)	Cf = 1	1 : 1

These values represent the corresponding similarity ratio and its derivation process. At the same time, they are all formulas, so they are marked in italics.