Elevator Model

This is one of many models students can build to extend their understanding of Newton's second law. Students first input forces to get the elevator moving up with an initial acceleration and then constant velocity. Later problems involve getting the elevator to stop at an upper floor and finally getting the elevator to return to the bottom floor. Students use an input graph to control the tension in the cable.

 THE MODEL
 Vensim Version Vensim PLE Software Right-click to download the model Elevator ModelVensim STELLA Version isee Player Software Right-click to download the model

[Diagram Level | Equations Level | Graphs ] Displacement(t) = Displacement(t - dt) + (Rate_of_change_of_Displacement) * dt
INIT Displacement = 0
Rate_of_change_of_Displacement = Velocity
Velocity(t) = Velocity(t - dt) + (Rate_of_change_of_Velocity) * dt
INIT Velocity = 0
Rate_of_change_of_Velocity = Acceleration
Acceleration = Net_force/mass
acceleration_due_to_gravity = -9.8 {m/s^2}
Applied_force = tension
mass = 1000 {kg}
Net_force = Applied_force+Opposing_force
Opposing_force = Weight
Weight = mass*acceleration_due_to_gravity
tension = GRAPH(time) (0.00, 10000), (1.00, 10000), (2.00, 10000), (3.00, 9800), (4.00, 9800), (5.00, 9800), (6.00, 9800), (7.00, 9800), (8.00, 9800), (9.00, 9800), (10.0, 9800), (11.0, 9800), (12.0, 9800)
##### Time Specs Settings
Standard: Range: 0-12; dt = 0.25; Integration Method = Euler's Home | Contact | Site Map | Search