AESL/TP1 06.18 Mass in Tube.AESL

   1 IDENTIFICATION DIVISION
   2 PROGRAM-ID MassInTube
   3 VERSION 20240214
   4 COMMENT A thin tube rotates at a constant angular velocity perpendicular to gravity
   5 COMMENT A mass point moves frictionless in this tube. The differential equation gives the position of this mass point.
   6 COMMENT r''=omega^2*r -g*sin(omega*t+phi0)
   7
   8 ENVIRONMENT DIVISION
   9 ENGINE Anabrid-THAT
  10 TIMEBASE 1ms
  11 REQUIRES COEFFICIENT 8, INTEGRATOR 4, INVERTER 1, MULTIPLIER 2
  12
  13 DATA DIVISION
  14 OUTPUT OUTPUT.X x
  15 OUTPUT OUTPUT.Y y
  16 COEFFICIENT.1 ICw'
  17 COEFFICIENT.2 ICw
  18 COEFFICIENT.3 OMEGAC
  19 COEFFICIENT.4 OMEGAS  # same as OMEGAC
  20 COEFFICIENT.5 G
  21 COEFFICIENT.6 R0      # r(0)
  22 COEFFICIENT.7 V0      # r'(0)
  23 COEFFICIENT.8 OMEGA^2 # = OMEGAC*OMEGAS
  24
  25 PROGRAM DIVISION
  26 ### Generating sin(omega*t+phi0) ###
  27 +1 -> COEFFICIENT.ICw’ -> icw’
  28 -1 -> COEFFICIENT.ICw  -> -icw
  29 w’’, IC:icw’ -> INTEGRATOR -> -w’=-cos
  30 -w' -> COEFFICIENT.OMEGAC -> -omega*w'
  31 -omega*w', IC:-icw -> INTEGRATOR -> w=sin
  32 w  -> INVERTER -> -w=-sin
  33 -w -> COEFFICIENT.OMEGAS -> -omega^2*w=w’’
  34
  35 ### the actual problem ###
  36 -sin -> COEFFICIENT.G  -> -g*sin
  37 -1   -> COEFFICIENT.R0 -> -r0
  38 +1   -> COEFFICIENT.V0 -> v0
  39 omega^2*r, -g*sin,IC:v0  -> INTEGRATOR -> -r' # input is r''
  40 -r',IC:-r0 -> INTEGRATOR -> r
  41 r -> COEFFICIENT.OMEGA^2 -> omega^2*r
  42
  43 ### Converting r, phi to x,y coordinates for display ###
  44 r, sin  -> MULTIPLIER -> x
  45 r, -cos -> MULTIPLIER -> y # y-axis shall go down according to gravity, thus negativ input
  46
  47 OPERATION DIVISION
  48 MODE REPEAT
  49 OP-TIME 17,5ms