Application: Mass in Tube; Helper Functions

[Analog_Engine.git] / AESL / Damped Harmonic Oscillator.AESL

IDENTIFICATION DIVISION
PROGRAM-ID Damped_Oscillator

ENVIRONMENT DIVISION
ENGINE Anabrid-THAT
REQUIRES COEFFICIENT 5
REQUIRES INTEGRATOR 2
REQUIRES INVERTER 1
REQUIRES SUMMER 2

DATA DIVISION
OUTPUT OUTPUT.U y
COEFFICIENT.1 InitialPosition
COEFFICIENT.2 InitialSpeed
COEFFICIENT.3 SpringForce
COEFFICIENT.4 Damping # linear to speed
COEFFICIENT.5 Mass # 1 / mass

PROGRAM DIVISION
# Colors being used for wiring
# - black:  y0
# - blue:   y0’
# - green:  y0’’
# - yellow: y’’, y’
# - red:    y
-1 -> COEFFICIENT.InitialPosition -> -y0 # -initial position of the mass
-1 -> COEFFICIENT.InitialSpeed -> y0s’ # y’ is scaled to be within -1..+1
+1, y0s’, y0s’ -> SUMMER -> y0’
y’’, IC:y0’ -> INTEGRATOR -> -y’
-y’,IC:-y0 -> INTEGRATOR -> y
y -> COEFFICIENT.SpringForce -> S*y # springforce times displacement
-y’ -> INVERTER -> y’
y’ -> COEFFICIENT.Damping -> D*y’ # damping times speed
S*y, D*y’ -> SUMMER -> -(Dy’+Sy)
-(Dy’+Sy) -> COEFFICIENT.Mass -> -1/m*(Dy’+Sy)=y’’

OPERATION DIVISION
MODE REPEAT
OP-TIME 80ms