Test group description
The scenario is a ramp with a width of 4 m, a height of 30 m and a projection length of 40 m. Thus, the length of the ramp is 50 m (since the speed of movement does not depend on the ramp inclination angle, the above parameters are chosen only to simplify the calculations). At the bottom level of the ramp there is an exit and a registering device. There is such a number of people on the ramp to provide the necessary density of placement. The start time of movement of all people is zero. The time of the last person passing through the middle of the ramp, calculated using the Fenix+ 3 program, is compared with the time determined by the formula:
$$ t(D) = \frac{0.5 \cdot L}{V(D)}(1) $$
where L is the length of the ramp and V is the velocity.
The flow density is determined by the formula:
$$ D = \frac{Nf}{S} (2)$$
where N is the number of people on the ramp, S is the area of the stairs, and f is the area of the horizontal projection of a person.
Projects were developed for each contingent of people. Each design consists of several scenarios (each scenario corresponds to a certain flow density).
Expected results
The time for the last person to pass through the middle of the stairs coincides with the time calculated by formula (1).
Modeling results
Test_035 People profile “SFPE contingent”
Movement of people flow of “SFPE contingent” profile up the ramp
| № | Flow density, m²/m² | Number of people | Movement time, s (Fenix+ 3) | Movement time, s (Expected) | Deviation, % |
|---|---|---|---|---|---|
| 1 | 0.01 | 20 | 19.8 | 20.8 | -4.8 |
| 2 | 0.05 | 100 | 20.8 | 20.8 | 0 |
| 3 | 0.1 | 200 | 23.6 | 24.3 | -2.9 |
| 4 | 0.15 | 300 | 30.8 | 29.7 | 3.7 |
| 5 | 0.2 | 400 | 42 | 38.1 | 10.2 |
| 6 | 0.25 | 500 | 54.4 | 53.1 | 2.4 |
| 7 | 0.3 | 600 | 71.8 | 87.7 | -18.1 |
| 8 | 0.35 | 700 | 88 | 252.1 | -65.1 |
| 9 | 0.4 | 800 | 105.2 | 4000 | -97.4 |
| 10 | 0.45 | 900 | 119.8 | 4000 | -97 |
| 11 | 0.5 | 1000 | 138.2 | 4000 | -96.5 |
| 12 | 0.6 | 1200 | 151 | 4000 | -96.2 |
| 13 | 0.7 | 1400 | 214.8 | 4000 | -94.6 |
| 14 | 0.8 | 1600 | 228 | 4000 | -94.3 |
| 15 | 0.9 | 1800 | 263 | 4000 | -93.4 |
Table 1. Movement of people flow of “SFPE contingent” profile up the ramp
