permondes.de Git - Analog_Engine.git/blob - scripts/TP1 08.22 Hollow Cylinder.AESL

1 IDENTIFICATION DIVISION

2 PROGRAM-ID HollowCylinder

3 VERSION 20240312

4 COMMENT A homogeneous hollow cylinder (mass m, ration inner to outer radius epsilon) is connected to a massless spring (constant lambda).

5 COMMENT The system is deflected from its rest position by the distance a.

6 COMMENT The cylinder rolls without sliding.

7 COMMENT x'' = - 2*lambda * 1/m * 1/(3+epsilon²) * x

9 ENVIRONMENT DIVISION

10 ENGINE Anabrid-THAT

11 TIMEBASE 1ms

12 REQUIRES COEFFICIENT 4, INTEGRATOR 2, INVERTER 1

14 DATA DIVISION

15 OUTPUT OUTPUT.X x

16 COEFFICIENT.1 2*lambda

17 COEFFICIENT.2 1/m

18 COEFFICIENT.3 1/(3+epsilon²) # = 1/3 (0,333) for epsilon=0 and 1/4 (0,25) for epsiolon=1 or anything in between

19 COEFFICIENT.4 a

21 PROGRAM DIVISION

22 +1 -> COEFFICIENT.A -> a

24 x'' -> INTEGRATOR -> -x'

25 -x', IC:a -> INTEGRATOR -> x

26 x -> COEFFICIENT.2*lambda -> 2*lambda*x

27 2*lambda*x -> COEFFICIENT.1/m -> 2*lambda*1/m*x

28 2*lambda*1/m*x -> COEFFICIENT.1/(3+epsilon²) -> 2*lambda*1/m*1/(3+epsilon²)*x

29 2*lambda*1/m*1/(3+epsilon²)*x -> INVERTER -> -2*lambda*1/m*1/(3+epsilon²)*x = x''

31 OPERATION DIVISION

32 MODE REPEAT

33 OP-TIME 52ms