Seismic Performance Comparison of a High-Content SDA Frame and Standard RC Frame

Table 3

Scale factors used for modeling.

Quantity	General case	Same material and acceleration (Model)
		Required	Provided
Geometric length, 𝑙	𝑆𝑙=3.0	𝑆𝑙=3.0	𝑆𝑙=3.0
Elastic modulus, 𝐸	𝑆𝐸=1.0	𝑆𝐸=1.0	𝑆𝐸=1.0
Acceleration, 𝑎	𝑆𝑎=(=1/𝑆𝑙∗𝑆𝐸/𝑆𝜌)	𝑆𝑎=1.0	𝑆𝑎=1.0
Density, 𝜌	𝑆𝜌=𝑆𝐸/(𝑆𝑙𝑆𝑎)	𝑆𝜌=.33	𝑆𝜌=1.0
Velocity, 𝑣	𝑆𝑣=(𝑆𝑙𝑆𝑎)	𝑆𝑣=1.73	𝑆𝑣=1.73
Forces, 𝑓	𝑆𝑓=𝑆𝐸𝑆^2𝑙	𝑆𝑓=9.0	𝑆𝑓=9.0
Stress, 𝜎	𝑆𝜎=𝑆𝐸	𝑆𝜎=1.0	𝑆𝜎=1.0
Strain, 𝜀	𝑆𝜀=1.0	𝑆𝜀=1.0	𝑆𝜀=1.0
Area, 𝐴	𝑆𝐴=𝑆^2𝑙	𝑆𝐴=9.0	𝑆𝐴=9.0
Volume, 𝑉	𝑆𝑉=𝑆^3𝑙	𝑆𝑉=27	𝑆𝑉=27.0
Second moment of area, 𝐼	𝑆𝐼=𝑆^4𝑙	𝑆𝐼=81	𝑆𝐼=81.0
Mass, 𝑚	𝑆𝑚=𝑆𝜌𝑆^3𝑙	𝑆𝑚=9	𝑆𝑚=27
Impulse, 𝑖	𝑆𝑖=𝑆^3𝑙(𝑆𝜌𝑆𝐸)	𝑆𝑖=15.59	𝑆𝑖=27
Energy, 𝑒	𝑆𝑒=𝑆𝑒𝑆^3𝑙	𝑆𝑒=27.0	𝑆𝑒=27.0
Frequency, 𝜔	𝑆𝜔=1/𝑆𝑠(𝑆𝐸/𝑆𝜌)	𝑆𝜔=0.58	𝑆𝜔=0.33
Time (Period), 𝑡	𝑆𝑡=𝑆𝑙/𝑆𝑎	𝑆𝑡=1.73	𝑆𝑡=1.73
Gravitational acceleration, 𝑔	𝑆𝑔=1.0	𝑆𝑔=1.0	𝑆𝑔=1.0
Gravitational force, fg	𝑆fg=𝑆𝜌𝑆^3𝑙	𝑆fg=9.0	𝑆fg=27.0
Critical damping, ξ	𝑆𝜉=1.0	𝑆𝜉=1.0	𝑆𝜉=1.0

All the scale factors are obtained from [8].