From 1820e06bd06c1df8c4cbfd882735c9f937cc0029 Mon Sep 17 00:00:00 2001 From: Permondes Date: Fri, 16 Feb 2024 20:21:57 +0100 Subject: [PATCH] Application: Mass in Tube; Helper Functions Application: Mass in Tube Helper-Functions, sine-cosine generation --- AESL/Anabrid-THAT.ENGINE | 12 ++++++ AESL/TP1 06.18 Mass in Tube.AESL | 49 +++++++++++++++++++++++++ Analog Engine Example Applications.odt | Bin 1243880 -> 1374138 bytes Analog Engine Technical Topics.odt | Bin 303478 -> 397946 bytes 4 files changed, 61 insertions(+) create mode 100644 AESL/Anabrid-THAT.ENGINE create mode 100644 AESL/TP1 06.18 Mass in Tube.AESL diff --git a/AESL/Anabrid-THAT.ENGINE b/AESL/Anabrid-THAT.ENGINE new file mode 100644 index 0000000..b599bcf --- /dev/null +++ b/AESL/Anabrid-THAT.ENGINE @@ -0,0 +1,12 @@ +# Anabrid THAT - Capabilities + +COEFFICIENT 8 +INTEGRATOR 5 +SUMMER 4 +INVERTER 4 +MULTIPLIER 2 +COMPARATOR 2 +CAPACITOR.100pF 3 +CAPACITOR.100nF 2 +DIODE 4 +Z-DIODE 2 diff --git a/AESL/TP1 06.18 Mass in Tube.AESL b/AESL/TP1 06.18 Mass in Tube.AESL new file mode 100644 index 0000000..e85e7c7 --- /dev/null +++ b/AESL/TP1 06.18 Mass in Tube.AESL @@ -0,0 +1,49 @@ +IDENTIFICATION DIVISION +PROGRAM-ID MassInTube +VERSION 20240214 +COMMENT A thin tube rotates at a constant angular velocity perpendicular to gravity +COMMENT A mass point moves frictionless in this tube. The differential equation gives the position of this mass point. +COMMENT r''=omega^2*r -g*sin(omega*t+phi0) + +ENVIRONMENT DIVISION +ENGINE Anabrid-THAT +TIMEBASE 1ms +REQUIRES COEFFICIENT 8, INTEGRATOR 4, INVERTER 1, MULTIPLIER 2 + +DATA DIVISION +OUTPUT OUTPUT.X x +OUTPUT OUTPUT.Y y +COEFFICIENT.1 ICw' +COEFFICIENT.2 ICw +COEFFICIENT.3 OMEGAC +COEFFICIENT.4 OMEGAS # same as OMEGAC +COEFFICIENT.5 G +COEFFICIENT.6 R0 # r(0) +COEFFICIENT.7 V0 # r'(0) +COEFFICIENT.8 OMEGA^2 # = OMEGAC*OMEGAS + +PROGRAM DIVISION +### Generating sin(omega*t+phi0) ### ++1 -> COEFFICIENT.ICw’ -> icw’ +-1 -> COEFFICIENT.ICw -> -icw +w’’, IC:icw’ -> INTEGRATOR -> -w’=-cos +-w' -> COEFFICIENT.OMEGAC -> -omega*w' +-omega*w', IC:-icw -> INTEGRATOR -> w=sin +w -> INVERTER -> -w=-sin +-w -> COEFFICIENT.OMEGAS -> -omega^2*w=w’’ + +### the actual problem ### +-sin -> COEFFICIENT.G -> -g*sin +-1 -> COEFFICIENT.R0 -> -r0 ++1 -> COEFFICIENT.V0 -> v0 +omega^2*r, -g*sin,IC:v0 -> INTEGRATOR -> -r' # input is r'' +-r',IC:-r0 -> INTEGRATOR -> r +r -> COEFFICIENT.OMEGA^2 -> omega^2*r + +### Converting r, phi to x,y coordinates for display ### +r, sin -> MULTIPLIER -> x +r, -cos -> MULTIPLIER -> y # y-axis shall go down according to gravity, thus negativ input + +OPERATION DIVISION +MODE REPEAT +OP-TIME 17,5ms diff --git a/Analog Engine Example Applications.odt b/Analog Engine Example Applications.odt index 94495eed9fcd2fbe410fa6be83762e22bd57381c..de6564b820f22eace882849810167160ff8da8d0 100644 GIT binary patch delta 187210 zcmZ6x1zc27(>P2^>Mq@}bax}M?9w1hH%bYJG)S+M#L~6WEsZXrv~+ieA}JwCEA6-V zJn#E{zyIvr6LaRyIcHAJ%-ucLY&p~?(bdGpA;-YL$G|X0=q8hBV51{sA_9~8lMgMa z7}k9@b=`sn$-P7R5J{p-`tXxGIcYlfKm3#l4e|pGDciqynDH=akWMtDq^UwWILOIA zr1+^vj5rVe%Q^MGw4}(%E>gnO0uucHKL=7Ib2l2h_8%o7 zB~3kI!})(|bl3SuhSa4Yh5Y~N*&g8I%BW*+QIN-w2e?K}5$I>uLNg zj!){xM6_nqM3EX3Vwhx#n(BNiFL~B$Xeo+4=~gtX4j{;6GFWvPOe@v?1bv1UO+JL0m(A=;|rz9RqJJMstLhEdv zSkw|pzD%s_p4II`M!m>OzM$^KtLIgz3GI#I4R^@7YS9#u7+fl_T=96I{ey4Li)LP* 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