From 8636b276c65b4a78bc3dd0aca2ceeca79ae11c5e Mon Sep 17 00:00:00 2001 From: Jason Ong Date: Thu, 16 Mar 2023 12:45:50 +0800 Subject: [PATCH] Migration to ESS Flight Dynamics. --- 2-DoF vs Astos 6-Dof.png | Bin 0 -> 62281 bytes Code/DragInterpolations_ICANSAT.m | 25 + Code/DragInterpolations_MAD.m | 76 + Code/DragInterpolations_Spark.m | 12 + Code/ICANSAT/ICANSAT_DragData.txt | 6 + Code/ICANSAT/V0/ICANSAT.m | 64 + Code/ICANSAT/V0/ICANSAT_Thrust_v_Time.txt | 202 ++ Code/ICANSAT/V1/ICANSAT_V1.m | 31 + Code/ICANSAT/V1/ICANSAT_V1_Thrust_v_Time.txt | 82 + Code/MAD/MAD v 4.2B_Thrust_v_Time.txt | 43 + Code/MAD/MAD_DragData.txt | 11 + Code/MAD/MAD_Nominal_Inputs.txt | 2695 ++++++++++++++++++ Code/MAD/MAD_Trajectory_Output.txt | 2603 +++++++++++++++++ Code/MAD/MAD_Validation.m | 52 + Code/SingleStageRocket.m | 441 +++ Code/Spark/Spark_DragData.txt | 8 + README.md | 12 +- zjd11_Thesis_Paper_Final.docx | Bin 0 -> 2309770 bytes 18 files changed, 6362 insertions(+), 1 deletion(-) create mode 100644 2-DoF vs Astos 6-Dof.png create mode 100644 Code/DragInterpolations_ICANSAT.m create mode 100644 Code/DragInterpolations_MAD.m create mode 100644 Code/DragInterpolations_Spark.m create mode 100644 Code/ICANSAT/ICANSAT_DragData.txt create mode 100644 Code/ICANSAT/V0/ICANSAT.m create mode 100644 Code/ICANSAT/V0/ICANSAT_Thrust_v_Time.txt create mode 100644 Code/ICANSAT/V1/ICANSAT_V1.m create mode 100644 Code/ICANSAT/V1/ICANSAT_V1_Thrust_v_Time.txt create mode 100644 Code/MAD/MAD v 4.2B_Thrust_v_Time.txt create mode 100644 Code/MAD/MAD_DragData.txt create mode 100644 Code/MAD/MAD_Nominal_Inputs.txt create mode 100644 Code/MAD/MAD_Trajectory_Output.txt create mode 100644 Code/MAD/MAD_Validation.m create mode 100644 Code/SingleStageRocket.m create mode 100644 Code/Spark/Spark_DragData.txt create mode 100644 zjd11_Thesis_Paper_Final.docx diff --git a/2-DoF vs Astos 6-Dof.png b/2-DoF vs Astos 6-Dof.png new file mode 100644 index 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zBtzlP3k#Qr{2XJ1!n9|0#Itt-`-xB5Q*GGx8*IOujC;=&>A;%tC?KZ_>1h~Xs#0ug zTUu#E!pBfd=18$CNYJ!K=m+j7wcRnb^|}4XXD@i~-)l$W4U>hl1p=fM8w-gKk9>P)yWFe@tPv*N59>Zq8fjNd*h9Y$$>4u+dIGnIZNkKId5)vg*~H{h$w^4gB2kZ%5~^?{*FA%Sj;Mzn)5Aa9+}uPbO+#4?@zc@3{_M}s zg5f^IfyGJz|2K9Ko}Q4zI3W tb) + coeffdrag = interp1(mach_no, cd_full, mach_speed); +else + coeffdrag = interp1(mach_no, cd_zero, mach_speed); +end + +end \ No newline at end of file diff --git a/Code/DragInterpolations_MAD.m b/Code/DragInterpolations_MAD.m new file mode 100644 index 0000000..25221c0 --- /dev/null +++ b/Code/DragInterpolations_MAD.m @@ -0,0 +1,76 @@ +function [coeffdrag] = DragInterpolations_MAD(velocity, altitude, time, tb) + +drag_data = dlmread("MAD/MAD_DragData.txt", "\t",1,0); + +% Mach No +mach_no = drag_data(:,1); +% Altitude 0m, full base drag +cdfull_0 = drag_data(:,4); + +% Altitude 10000m, full base drag +cdfull_10000 = drag_data(:,5); + +% Altitude 30000m, full base drag +cdfull_30000 = drag_data(:,6); + +% Altitude 45000m, full base drag +cdfull_45000 = drag_data(:,7); + +% Altitude 60000m, full base drag +cdfull_60000 = drag_data(:,8); + +% Altitude 0m, no base drag +cdzero_0 = drag_data(:,2); + +% Altitude 10000m, no base drag +cdzero_10000 = drag_data(:,3); + +% Interpolate for Cd values at two stated altitudes, then interpolate for +% Cd value at a specific altitude +[temp, sound_speed, P, rho] = atmosisa(altitude); +mach_speed = velocity/sound_speed; + +% If propellant is still available +if (time > tb) + if (altitude <= 10000) + coeffdrag = interpolateCd(0, 10000, mach_no, cdfull_0, ... + cdfull_10000, mach_speed, altitude); + end + + if (altitude <= 30000 && altitude > 10000) + coeffdrag = interpolateCd(10000, 30000, mach_no, cdfull_10000, ... + cdfull_30000, mach_speed, altitude); + end + + if (altitude <= 45000 && altitude > 30000) + coeffdrag = interpolateCd(30000, 45000, mach_no, cdfull_30000, ... + cdfull_45000, mach_speed, altitude); + end + + if (altitude <= 60000 && altitude > 45000) + coeffdrag = interpolateCd(45000, 60000, mach_no, cdfull_45000, ... + cdfull_60000, mach_speed, altitude); + end + + if (altitude > 60000) + coeffdrag = interp1(mach_no, cdfull_60000, mach_speed); + end +else + if (altitude <= 10000) + coeffdrag = interpolateCd(0, 10000, mach_no, cdzero_0, ... + cdzero_10000, mach_speed, altitude); + end + if (altitude > 10000) + coeffdrag = interp1(mach_no, cdzero_10000, mach_speed); + end +end + +end + +function Cd_specific_alt = interpolateCd(low_alt, high_alt, mach_num, low_alt_Cd, ... + high_alt_Cd, mach_speed, specific_alt) + low_alt_interpolation = interp1(mach_num, low_alt_Cd, mach_speed); + high_alt_interpolation = interp1(mach_num, high_alt_Cd, mach_speed); + Cd_specific_alt = interp1([low_alt high_alt], [low_alt_interpolation high_alt_interpolation], specific_alt); +end + diff --git a/Code/DragInterpolations_Spark.m b/Code/DragInterpolations_Spark.m new file mode 100644 index 0000000..b4dbbe8 --- /dev/null +++ b/Code/DragInterpolations_Spark.m @@ -0,0 +1,12 @@ +function [coeffdrag] = DragInterpolations_Spark(velocity, altitude) + +spark_drag_data = dlmread("Spark/Spark_DragData.txt", "\t",1,0); + +[temp, sound_speed, P, rho] = atmosisa(altitude); +mach_speed = velocity/sound_speed; + +mach = spark_drag_data(:,1); +drag = spark_drag_data(:,2); + +coeffdrag = interp1(mach, drag, mach_speed); +end \ No newline at end of file diff --git a/Code/ICANSAT/ICANSAT_DragData.txt b/Code/ICANSAT/ICANSAT_DragData.txt new file mode 100644 index 0000000..a2aad35 --- /dev/null +++ b/Code/ICANSAT/ICANSAT_DragData.txt @@ -0,0 +1,6 @@ +Mach NBD FBD +0.00 0.259 0.35 +0.30 0.26 0.35 +0.60 0.229 0.324 +0.90 0.233 0.328 +0.99 0.261 0.4 \ No newline at end of file diff --git a/Code/ICANSAT/V0/ICANSAT.m b/Code/ICANSAT/V0/ICANSAT.m new file mode 100644 index 0000000..a57b576 --- /dev/null +++ b/Code/ICANSAT/V0/ICANSAT.m @@ -0,0 +1,64 @@ +clc +addpath('../') +addpath('../..') + +% Df, Lr, Ls, ms, mp, tb +icansat = SingleStageRocket(0.1567, 2.391, 4, 14, 1.92, 8.0); + +% Timestep, no. of timesteps, launch angle +icansat.SetSimulationParams(0.01, 10000, 88); +icansat.SetRocketID("ICANSAT"); +icansat.InitializeVars(); + +% Uncomment to use non-constant mass flow rate +% icansat.SetVariableMassFlow(); + +icansat.CalculateThrust('ICANSAT_Thrust_v_Time.txt'); +icansat.CalculateTrajectory(); +icansat.WriteDataFile(); + +subplot(2,3,1); +plot(icansat.t(1:icansat.NStepEnd), icansat.y(1:icansat.NStepEnd)/1000); +hold on +xlabel('Time (s)'); +ylabel('Altitude (km)'); +ylim([0 2]); +grid on + +subplot(2,3,2); +plot(icansat.t(1:icansat.NStepEnd), icansat.M(1:icansat.NStepEnd)); +hold on +xlabel('Time (s)'); +ylabel('Mach No.'); +grid on + +subplot(2,3,3); +plot(icansat.t(1:icansat.NStepEnd), icansat.thrust(1:icansat.NStepEnd)); +hold on +xlabel('Time (s)'); +ylabel('Thrust (N)'); +grid on + +subplot(2,3,4); +plot(icansat.x(1:icansat.NStepEnd)/1000, icansat.y(1:icansat.NStepEnd)/1000); +hold on +xlabel('Downrange(km)'); +ylabel('Altitude (km)'); +ylim([0 2]); +grid on + +subplot(2,3,5); +plot(icansat.t(1:icansat.NStepEnd), icansat.DvDt(1:icansat.NStepEnd)); +hold on +plot([0,50], [0, 0], 'k'); +xlabel('Time (s)'); +ylabel('Accleration (m/s^2)'); +grid on + +subplot(2,3,6); +plot(icansat.t(1:icansat.NStepEnd), icansat.m(1:icansat.NStepEnd)); +hold on +xlabel('Time (s)'); +ylabel('Mass (kg)'); +grid on +% --------- \ No newline at end of file diff --git a/Code/ICANSAT/V0/ICANSAT_Thrust_v_Time.txt b/Code/ICANSAT/V0/ICANSAT_Thrust_v_Time.txt new file mode 100644 index 0000000..6aa445b --- /dev/null +++ b/Code/ICANSAT/V0/ICANSAT_Thrust_v_Time.txt @@ -0,0 +1,202 @@ +0.00 0.000 +0.01 857.647 +0.04 954.785 +0.08 913.544 +0.12 927.823 +0.16 919.100 +0.20 919.595 +0.24 916.682 +0.28 915.395 +0.32 913.525 +0.36 912.058 +0.40 910.551 +0.44 909.180 +0.48 907.763 +0.52 906.496 +0.56 905.294 +0.60 904.034 +0.64 902.880 +0.68 901.733 +0.72 900.644 +0.76 899.489 +0.80 898.448 +0.84 897.394 +0.88 896.390 +0.92 895.312 +0.96 894.339 +1.00 893.343 +1.04 892.377 +1.08 891.435 +1.12 890.419 +1.16 889.500 +1.20 888.499 +1.24 887.654 +1.28 886.720 +1.32 885.754 +1.36 884.862 +1.40 883.893 +1.44 883.073 +1.48 882.110 +1.52 881.241 +1.56 880.337 +1.60 879.399 +1.64 878.531 +1.68 877.641 +1.72 876.782 +1.76 875.889 +1.80 874.959 +1.84 874.098 +1.88 873.210 +1.92 872.281 +1.96 871.422 +2.00 870.539 +2.04 869.685 +2.08 868.795 +2.12 867.867 +2.16 867.006 +2.20 866.117 +2.24 865.186 +2.28 864.323 +2.32 863.430 +2.36 862.496 +2.40 861.630 +2.44 860.789 +2.48 859.850 +2.52 858.979 +2.56 858.077 +2.60 857.133 +2.64 856.256 +2.68 855.348 +2.72 854.450 +2.76 853.492 +2.80 852.609 +2.84 851.690 +2.88 850.731 +2.92 849.837 +2.96 848.912 +3.00 847.996 +3.04 397.662 +3.08 270.454 +3.12 262.949 +3.16 254.969 +3.20 247.296 +3.24 239.841 +3.28 232.600 +3.32 225.594 +3.36 218.788 +3.40 212.177 +3.44 205.794 +3.48 199.581 +3.52 193.569 +3.56 187.741 +3.60 182.078 +3.64 176.589 +3.68 171.267 +3.72 166.117 +3.76 161.104 +3.80 156.244 +3.84 151.542 +3.88 146.973 +3.92 142.552 +3.96 138.249 +4.00 134.093 +4.04 130.048 +4.08 126.133 +4.12 122.330 +4.16 118.650 +4.20 115.075 +4.24 111.608 +4.28 108.254 +4.32 104.988 +4.36 101.828 +4.40 98.758 +4.44 95.787 +4.48 92.895 +4.52 90.102 +4.56 87.389 +4.60 84.752 +4.64 82.201 +4.68 79.722 +4.72 77.324 +4.76 74.998 +4.80 72.734 +4.84 70.543 +4.88 68.418 +4.92 66.359 +4.96 64.357 +5.00 62.417 +5.04 60.539 +5.08 58.714 +5.12 56.945 +5.16 55.226 +5.20 53.563 +5.24 51.947 +5.28 50.383 +5.32 48.864 +5.36 47.391 +5.40 45.962 +5.44 44.577 +5.48 43.231 +5.52 41.929 +5.56 40.664 +5.60 39.437 +5.64 38.247 +5.68 37.092 +5.72 35.973 +5.76 34.887 +5.80 33.836 +5.84 32.814 +5.88 31.826 +5.92 30.863 +5.96 29.930 +6.00 29.027 +6.04 28.150 +6.08 27.302 +6.12 26.477 +6.16 25.676 +6.20 24.900 +6.24 24.147 +6.28 23.418 +6.32 22.710 +6.36 22.022 +6.40 21.358 +6.44 20.712 +6.48 20.086 +6.52 19.477 +6.56 18.889 +6.60 18.316 +6.64 17.762 +6.68 17.224 +6.72 16.703 +6.76 16.197 +6.80 15.706 +6.84 15.230 +6.88 14.769 +6.92 14.320 +6.96 13.887 +7.00 13.466 +7.04 13.058 +7.08 12.661 +7.12 12.277 +7.16 11.904 +7.20 11.543 +7.24 11.193 +7.28 10.852 +7.32 10.523 +7.36 10.203 +7.40 9.890 +7.44 9.587 +7.48 9.301 +7.52 9.020 +7.56 8.748 +7.60 8.486 +7.64 8.213 +7.68 7.969 +7.72 7.736 +7.76 7.509 +7.80 7.289 +7.84 7.074 +7.88 6.864 +7.92 6.661 +7.96 6.464 +8.00 0.000 diff --git a/Code/ICANSAT/V1/ICANSAT_V1.m b/Code/ICANSAT/V1/ICANSAT_V1.m new file mode 100644 index 0000000..bf97ba0 --- /dev/null +++ b/Code/ICANSAT/V1/ICANSAT_V1.m @@ -0,0 +1,31 @@ +clc +addpath('../') +addpath('../..') + +% Df, Lr, Ls, ms, mp, tb +icansat = SingleStageRocket(0.1567, 2.391, 4, 14, 1.160534, 4.0); + +% RunTrajectorySim(icansat, 88); +% RunTrajectorySim(icansat, 86); +% RunTrajectorySim(icansat, 84); +% RunTrajectorySim(icansat, 82); +% RunTrajectorySim(icansat, 80); +% RunTrajectorySim(icansat, 78); +% RunTrajectorySim(icansat, 76); +% RunTrajectorySim(icansat, 74); +% RunTrajectorySim(icansat, 72); +RunTrajectorySim(icansat, 70); + +function RunTrajectorySim(rocket, launch_angle) + % Timestep, no. of timesteps, launch angle + rocket.SetSimulationParams(0.01, 10000, launch_angle); + rocket.SetRocketID("ICANSAT"); + rocket.InitializeVars(); + + % Uncomment to use non-constant mass flow rate + rocket.SetVariableMassFlow(); + + rocket.CalculateThrust('ICANSAT_V1_Thrust_v_Time.txt'); + rocket.CalculateTrajectory(); + rocket.WriteDataFile(); +end \ No newline at end of file diff --git a/Code/ICANSAT/V1/ICANSAT_V1_Thrust_v_Time.txt b/Code/ICANSAT/V1/ICANSAT_V1_Thrust_v_Time.txt new file mode 100644 index 0000000..dc85392 --- /dev/null +++ b/Code/ICANSAT/V1/ICANSAT_V1_Thrust_v_Time.txt @@ -0,0 +1,82 @@ +0.000000000 28.61809561 +0.049382716 865.7172252 +0.098765432 828.788367 +0.148148148 868.0198335 +0.197530864 855.1079959 +0.24691358 857.8965696 +0.296296296 854.5947699 +0.345679012 854.7495807 +0.395061728 853.0271145 +0.444444444 851.8792688 +0.49382716 850.5777483 +0.543209877 849.3378201 +0.592592593 848.0391454 +0.641975309 846.8108491 +0.691358025 845.5911444 +0.740740741 844.3810837 +0.790123457 843.1795528 +0.839506173 841.9861293 +0.888888889 790.6663048 +0.938271605 814.7418358 +0.987654321 803.4557486 +1.037037037 808.316949 +1.086419753 805.7695017 +1.135802469 806.6979621 +1.185185185 805.9333018 +1.234567901 806.0156238 +1.283950617 805.7302387 +1.333333333 805.6325586 +1.382716049 805.403352 +1.432098765 805.2754677 +1.481481481 805.1345303 +1.530864198 804.9574627 +1.580246914 804.8347208 +1.62962963 804.7205219 +1.679012346 804.5587272 +1.728395062 804.506189 +1.777777778 804.3839195 +1.827160494 804.2516444 +1.87654321 804.1588364 +1.925925926 804.0801232 +1.975308642 803.9493204 +2.024691358 803.8779173 +2.074074074 803.7574503 +2.12345679 803.6943463 +2.172839506 803.6351266 +2.222222222 803.5275729 +2.271604938 803.5265503 +2.320987654 803.4009857 +2.37037037 803.3696582 +2.419753086 803.3223497 +2.469135802 803.2353159 +2.518518519 803.1992204 +2.567901235 803.1158937 +2.617283951 803.0865164 +2.666666667 376.035258 +2.716049383 253.688266 +2.765432099 248.46047 +2.814814815 242.6136227 +2.864197531 236.9364371 +2.913580247 231.3951724 +2.962962963 225.9851368 +3.012345679 220.6900131 +3.061728395 215.53518 +3.111111111 210.4890237 +3.160493827 205.5629687 +3.209876543 200.7540814 +3.259259259 196.0723345 +3.308641975 191.4770118 +3.358024691 187.002752 +3.407407407 182.6232343 +3.456790123 178.3595068 +3.50617284 174.1854098 +3.555555556 170.1104297 +3.604938272 166.1321595 +3.654320988 162.2588809 +3.703703704 158.4668032 +3.75308642 154.7548871 +3.802469136 151.1405636 +3.851851852 147.6122193 +3.901234568 144.157891 +3.950617284 140.7854521 +4.000000000 0.0 diff --git a/Code/MAD/MAD v 4.2B_Thrust_v_Time.txt b/Code/MAD/MAD v 4.2B_Thrust_v_Time.txt new file mode 100644 index 0000000..8f8040d --- /dev/null +++ b/Code/MAD/MAD v 4.2B_Thrust_v_Time.txt @@ -0,0 +1,43 @@ +0.00 0.00 +0.10 9359.85 +0.50 9263.03 +1.00 9184.49 +1.50 9118.59 +2.00 9061.93 +2.50 9012.31 +3.00 8968.24 +3.50 8928.65 +4.00 8892.74 +4.50 8859.92 +5.00 8829.72 +5.50 8801.76 +6.00 8775.76 +6.50 8751.47 +7.00 8728.69 +7.50 8707.25 +8.00 8687.01 +8.50 8667.85 +9.00 8649.67 +9.50 8632.37 +10.00 8615.88 +10.50 8600.13 +11.00 8585.06 +11.50 8570.61 +12.00 8556.75 +12.50 8543.42 +13.00 8530.59 +13.50 8518.23 +14.00 8506.30 +14.50 8494.77 +15.00 8483.63 +15.50 8472.85 +16.00 8462.40 +16.50 8452.27 +17.00 8442.44 +17.50 8432.90 +18.00 8423.62 +18.50 8414.60 +19.00 8405.82 +19.50 8397.27 +20.00 8388.94 +20.10 0.00 diff --git a/Code/MAD/MAD_DragData.txt b/Code/MAD/MAD_DragData.txt new file mode 100644 index 0000000..a2c7aac --- /dev/null +++ b/Code/MAD/MAD_DragData.txt @@ -0,0 +1,11 @@ +Mach NBD_0k NBD_10k FBD_0k FBD_10k FBD_30k FBD_45k FBD_60k +0.0 0.38 0.428 0.42 0.468 0.725 1.133 1.819 +0.5 0.38 0.428 0.42 0.468 0.725 1.133 1.819 +0.8 0.37 0.41 0.4 0.441 0.67 1.026 1.611 +1.1 0.51 0.547 0.58 0.617 0.813 1.115 1.607 +1.2 0.5 0.54 0.573 0.609 0.793 1.078 1.54 +1.5 0.46 0.5 0.53 0.563 0.734 1 1.424 +2.0 0.38 0.42 0.438 0.467 0.619 0.854 1.239 +3.0 0.28 0.31 0.315 0.34 0.463 0.661 1 +4.0 0.217 0.235 0.242 0.261 0.367 0.54 0.842 +5.0 0.217 0.235 0.242 0.261 0.367 0.54 0.842 diff --git a/Code/MAD/MAD_Nominal_Inputs.txt b/Code/MAD/MAD_Nominal_Inputs.txt new file mode 100644 index 0000000..b3e5781 --- /dev/null +++ b/Code/MAD/MAD_Nominal_Inputs.txt @@ -0,0 +1,2695 @@ +Time(s) Thrust(kN) x-CoM(m) Ixx Izz Total_Mass (Mg) +0 0 1.666 1.05 182 0.146 +0.0002 0 1.666001781 1.049996119 181.9995224 0.145999224 +0.0004 0 1.666003562 1.049992239 181.9990448 0.145998448 +0.0006 0 1.666005343 1.049988358 181.9985672 0.145997672 +0.0008 0 1.666007124 1.049984478 181.9980896 0.145996896 +0.001 0 1.666008906 1.049980597 181.9976119 0.145996119 +0.0012 0 1.666010687 1.049976716 181.9971343 0.145995343 +0.0014 0 1.666012468 1.049972836 181.9966567 0.145994567 +0.0016 0 1.666014249 1.049968955 181.9961791 0.145993791 +0.0018 0 1.66601603 1.049965075 181.9957015 0.145993015 +0.002 0 1.666017811 1.049961194 181.9952239 0.145992239 +0.0022 0 1.666019592 1.049957313 181.9947463 0.145991463 +0.0024 0 1.666021373 1.049953433 181.9942687 0.145990687 +0.0026 0 1.666023154 1.049949552 181.993791 0.14598991 +0.0028 0 1.666024935 1.049945672 181.9933134 0.145989134 +0.003 0 1.666026716 1.049941791 181.9928358 0.145988358 +0.0032 0 1.666028498 1.04993791 181.9923582 0.145987582 +0.0034 0 1.666030279 1.04993403 181.9918806 0.145986806 +0.0036 0 1.66603206 1.049930149 181.991403 0.14598603 +0.0038 0 1.666033841 1.049926269 181.9909254 0.145985254 +0.004 0 1.666035622 1.049922388 181.9904478 0.145984478 +0.0042 0 1.666037403 1.049918508 181.9899701 0.145983702 +0.0044 0 1.666039184 1.049914627 181.9894925 0.145982925 +0.0046 0 1.666040965 1.049910746 181.9890149 0.145982149 +0.0048 0 1.666042746 1.049906866 181.9885373 0.145981373 +0.005 0 1.666044527 1.049902985 181.9880597 0.145980597 +0.0052 0 1.666046309 1.049899105 181.9875821 0.145979821 +0.0054 0 1.66604809 1.049895224 181.9871045 0.145979045 +0.0056 0 1.666049871 1.049891343 181.9866269 0.145978269 +0.0058 0 1.666051652 1.049887463 181.9861493 0.145977493 +0.006 0 1.666053433 1.049883582 181.9856716 0.145976716 +0.0062 0 1.666055214 1.049879702 181.985194 0.14597594 +0.0064 0 1.666056995 1.049875821 181.9847164 0.145975164 +0.0066 0 1.666058776 1.04987194 181.9842388 0.145974388 +0.0068 0 1.666060557 1.04986806 181.9837612 0.145973612 +0.007 0 1.666062338 1.049864179 181.9832836 0.145972836 +0.0072 0 1.666064119 1.049860299 181.982806 0.14597206 +0.0074 0 1.666065901 1.049856418 181.9823284 0.145971284 +0.0076 0 1.666067682 1.049852537 181.9818507 0.145970507 +0.0078 0 1.666069463 1.049848657 181.9813731 0.145969731 +0.008 0 1.666071244 1.049844776 181.9808955 0.145968955 +0.0082 0 1.666073025 1.049840896 181.9804179 0.145968179 +0.0084 0 1.666074806 1.049837015 181.9799403 0.145967403 +0.0086 0 1.666076587 1.049833134 181.9794627 0.145966627 +0.0088 0 1.666078368 1.049829254 181.9789851 0.145965851 +0.009 0 1.666080149 1.049825373 181.9785075 0.145965075 +0.0092 0 1.66608193 1.049821493 181.9780299 0.145964299 +0.0094 0 1.666083711 1.049817612 181.9775522 0.145963522 +0.0096 0 1.666085493 1.049813731 181.9770746 0.145962746 +0.0098 0 1.666087274 1.049809851 181.976597 0.14596197 +0.01 0 1.666089055 1.04980597 181.9761194 0.145961194 +0.01 0 1.666089055 1.04980597 181.9761194 0.145961194 +0.0204 0.672531068 1.666181672 1.049604179 181.9512836 0.145920836 +0.0308 1.738430014 1.666274289 1.049402388 181.9264478 0.145880478 +0.0412 2.804328998 1.666366906 1.049200597 181.9016119 0.145840119 +0.0516 3.870228154 1.666459522 1.048998806 181.8767761 0.145799761 +0.062 4.936127614 1.666552139 1.048797015 181.8519403 0.145759403 +0.0724 6.00202751 1.666644756 1.048595224 181.8271045 0.145719045 +0.0828 7.067927977 1.666737373 1.048393433 181.8022687 0.145678686 +0.0932 8.133829145 1.66682999 1.048191642 181.7774328 0.145638328 +0.1036 8.829811887 1.666922607 1.047989851 181.752597 0.14559797 +0.114 8.827059165 1.667015224 1.04778806 181.7277612 0.145557612 +0.1244 8.824307365 1.667107841 1.047586269 181.7029254 0.145517253 +0.1348 8.821556486 1.667200458 1.047384478 181.6780896 0.145476895 +0.1452 8.818806529 1.667293075 1.047182687 181.6532537 0.145436537 +0.1556 8.816057494 1.667385692 1.046980896 181.6284179 0.145396179 +0.166 8.81330938 1.667478309 1.046779105 181.6035821 0.14535582 +0.1764 8.810562188 1.667570925 1.046577313 181.5787463 0.145315462 +0.1868 8.807815917 1.667663542 1.046375522 181.5539104 0.145275104 +0.1972 8.805070567 1.667756159 1.046173731 181.5290746 0.145234746 +0.2076 8.802326139 1.667848776 1.04597194 181.5042388 0.145194387 +0.218 8.799582632 1.667941393 1.045770149 181.479403 0.145154029 +0.2284 8.796840046 1.66803401 1.045568358 181.4545672 0.145113671 +0.2388 8.794098382 1.668126627 1.045366567 181.4297313 0.145073313 +0.2492 8.791357638 1.668219244 1.045164776 181.4048955 0.145032955 +0.2596 8.788617816 1.668311861 1.044962985 181.3800597 0.144992596 +0.27 8.785878914 1.668404478 1.044761194 181.3552239 0.144952238 +0.2804 8.783140933 1.668497095 1.044559403 181.3303881 0.14491188 +0.2908 8.780403873 1.668589711 1.044357612 181.3055522 0.144871522 +0.3012 8.777667734 1.668682328 1.044155821 181.2807164 0.144831163 +0.3116 8.774932515 1.668774945 1.04395403 181.2558806 0.144790805 +0.322 8.772198217 1.668867562 1.043752239 181.2310448 0.144750447 +0.3324 8.769464839 1.668960179 1.043550448 181.206209 0.144710089 +0.3428 8.766732381 1.669052796 1.043348657 181.1813731 0.14466973 +0.3532 8.764000844 1.669145413 1.043146866 181.1565373 0.144629372 +0.3636 8.761270227 1.66923803 1.042945075 181.1317015 0.144589014 +0.374 8.75854053 1.669330647 1.042743284 181.1068657 0.144548656 +0.3844 8.755811753 1.669423264 1.042541493 181.0820299 0.144508297 +0.3948 8.753083896 1.669515881 1.042339702 181.057194 0.144467939 +0.4052 8.750356959 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5.758120966 2.310379096 diff --git a/Code/MAD/MAD_Validation.m b/Code/MAD/MAD_Validation.m new file mode 100644 index 0000000..0e44806 --- /dev/null +++ b/Code/MAD/MAD_Validation.m @@ -0,0 +1,52 @@ +clc +addpath('../') + +mad = SingleStageRocket(0.205, 4.96, 10, 68, 78, 20.1); +mad.SetSimulationParams(0.05, 10000, 85); +mad.SetRocketID("MAD"); +mad.InitializeVars(); +mad.SetThrustCorrection(); +mad.CalculateThrust('MAD v 4.2B_Thrust_v_Time.txt'); +mad.CalculateTrajectory(); +mad.WriteDataFile(); + +% MAD Data +% ----------------------------------------------------------------------------- +nominal_input = dlmread("MAD/MAD_Nominal_Inputs.txt", "\t",1,0); +nominal_time = nominal_input(:, 1); +astos_thrust = nominal_input(:, 2); + +trajectory_output = dlmread("MAD/MAD_Trajectory_Output.txt", "\t",1,0); +trajectory_time = trajectory_output(:, 1); +altitude = trajectory_output(:, 2); +mach = trajectory_output(:, 6); + +subplot(1,3,1); +plot(mad.t(1:mad.NStepEnd), mad.y(1:mad.NStepEnd)/1000); +hold on +plot(trajectory_time, altitude, '--o','MarkerIndices',1:100:length(trajectory_time)); +xlabel('Time (s)'); +ylabel('Altitude (km)'); +legend('2-DoF', 'ASTOS 6-DoF'); +ylim([0 60]); +grid on + +subplot(1,3,2); +plot(mad.t(1:mad.NStepEnd), mad.M(1:mad.NStepEnd)); +hold on +plot(trajectory_time, mach, '--o','MarkerIndices',1:100:length(trajectory_time)); +xlabel('Time (s)'); +ylabel('Mach No.'); +legend('2-DoF', 'ASTOS 6-DoF'); +grid on + +subplot(1,3,3); +plot(mad.t(1:mad.NStepEnd), mad.thrust(1:mad.NStepEnd)/1000); +hold on +plot(nominal_time, astos_thrust, '--o','MarkerIndices',1:100:length(nominal_time)); +xlabel('Time (s)'); +ylabel('Corrected Thrust (kN)'); +legend('2-DoF', 'ASTOS 6-DoF'); +xlim([0 25]); +grid on +% ----------------------------------------------------------------------------- \ No newline at end of file diff --git a/Code/SingleStageRocket.m b/Code/SingleStageRocket.m new file mode 100644 index 0000000..1e2d54b --- /dev/null +++ b/Code/SingleStageRocket.m @@ -0,0 +1,441 @@ +classdef SingleStageRocket < handle + properties + % Rocket parameters + Df % Diameter of fuselage (meters) + Ls % Length of structure (meters) + Lr % Length of launch rod (meters) + ms % Mass of structure (kg) + mp % Mass of propellant (kg) + tb % burn time (sec) + + % Boolean - constant mass flow or variable mass flow + mdot_constant + + % Boolean - thrust correction + thrust_correction + + % Derived parameters + mt % Total mass + mdot % Mass flow + + % Simulation parameters + Timestep + NSteps % No. of timesteps + n_tb % Burnout timestep + + % Thrust data file, thrust, isp + thrust_dat_file + thrust + isp + + % Simulation variables + t % Time + V, Vcr, M % Velocity magnitude, critical velocity, mach number; + v, u, ux % Velocity components in y and x, x-component velocity calc.4 + utheta % X-component of velocity for launch rod + m, Cd % Mass, drag coefficient + x, y, theta % X and Y positions, angle w.r.t. horizontal + DvDt, dvdt % Absolute and relative accelerations + kd, kt % Coefficients of drag and thrust + rho, g, c, T % Density, gravity, sound speed, temperature + area % Cross sectional area + q % Dynamic pressure + launch_angle + + % Rocket identifier (MAD, ICANSAT, Spark etc.) + % For purposes of drag identification + ID + + % End of simulation + NStepEnd + end + + methods + % Initialization + function self = SingleStageRocket(Df, Ls, Lr, ms, mp, tb) + % Set rocket parameters + self.Df = Df; + self.Ls = Ls; + self.Lr = Lr; + self.ms = ms; + self.mp = mp; + self.tb = tb; + + % Set booleans + self.mdot_constant = true; + self.thrust_correction = false; + + % Derived parameters + self.mt = self.ms + self.mp; + end + + % Set rocket ID + function SetRocketID(obj, id) + obj.ID = id; + end + + % Set booleans + function SetThrustCorrection(obj) + obj.thrust_correction = true; + end + + function SetVariableMassFlow(obj) + obj.mdot_constant = false; + end + + % Set simulation parameters + function SetSimulationParams(obj, dt, nsteps, launch_angle) + obj.Timestep = dt; + obj.NSteps = nsteps; + obj.launch_angle = launch_angle; + fprintf('Launch angle: %4.2f degrees.\n', launch_angle); + fprintf('Timestep: %5.3f s. Maximum no. of timesteps: %d.\n', dt, nsteps); + end + + % Initialize variables + function InitializeVars(obj) + obj.t = zeros(obj.NSteps, 1); + obj.V = zeros(obj.NSteps, 1); + obj.Vcr = zeros(obj.NSteps, 1); + obj.M = zeros(obj.NSteps, 1); + obj.v = zeros(obj.NSteps, 1); + obj.u = zeros(obj.NSteps, 1); + obj.ux = zeros(obj.NSteps, 1); + obj.utheta = zeros(obj.NSteps, 1); + + obj.m = zeros(obj.NSteps, 1); + obj.Cd = zeros(obj.NSteps, 1); + + obj.x = zeros(obj.NSteps, 1); + obj.y = zeros(obj.NSteps, 1); + obj.theta = zeros(obj.NSteps, 1); + + obj.DvDt = zeros(obj.NSteps, 1); + obj.dvdt = zeros(obj.NSteps, 1); + + obj.mdot = zeros(obj.NSteps, 1); + obj.thrust = zeros(obj.NSteps, 1); + obj.isp = zeros(obj.NSteps, 1); + + obj.kd = zeros(obj.NSteps, 1); + obj.kt = zeros(obj.NSteps, 1); + + obj.rho = zeros(obj.NSteps, 1); + obj.g = zeros(obj.NSteps, 1); + obj.c = zeros(obj.NSteps, 1); + obj.T = zeros(obj.NSteps, 1); + + obj.q = zeros(obj.NSteps, 1); + + obj.area = (pi/4)*(obj.Df.^2); + + % Set initial values + obj.V(1) = 0.447; % Velocity - m/s + obj.theta(1) = deg2rad(obj.launch_angle); + obj.u(1) = obj.V(1)*cos(obj.theta(1)); % x-component of velocity + obj.v(1) = obj.V(1)*sin(obj.theta(1)); % y-component of velocity + obj.y(1) = 0.0; % Altitude - m (XY) + obj.t(1) = 0; % Flight Time - s + obj.M(1) = 0; % Mach Number + obj.c(1) = 340.3961; % Speed of Sound - m/s^2 + obj.rho(1) = 1.23; % Sea Level Density - kg/m^3 + obj.T(1) = 288.16; % Temperature (K) + + obj.g(1) = 9.8066; + obj.m(1) = obj.mt; + end + + % Load thrust data (include thrust correction) + function CalculateThrust(obj, file) + data = dlmread(file); + force = data(:,2); + time = data(:,1); + dt = obj.Timestep; + + resampled_time = 0:dt:obj.tb; + resampled_force = interp1(time,force,resampled_time,'linear'); + + for i = 1:length(resampled_time) + obj.thrust(i) = resampled_force(i); + end + + obj.n_tb = length(resampled_time); + + % Find mass flow rate up till end of burnout + obj.CalculateMassFlow(length(resampled_time)); + end + + function [t,p,rho] = CalcAtmosQuantities(obj, h) + hg = h; % geometric alt in meters + R = 287; % Gas Constant + re = 6.356766e6; % radius of earth + g0 = 9.8066; % gravity + h = re/(re+hg)*hg; + + % Altitude in meters + h0 = 0.0; + h1 = 11000.0; + h2 = 25000.0; + h3 = 47000; + h4 = 53000; + h5 = 79000; + h6 = 90000; + h7 = 105000; + + % Temperature in Kelvin. + t0 = 288.16; + t1 = 216.66; + t2 = 216.66; + t3 = 282.66; + t4 = 282.66; + t5 = 165.66; + t6 = 165.66; + t7 = 225.66; + + %%equations + + a01 = (t1-t0)/(h1-h0); % slope of T/h in K/m for 0 to 11 km + a23 = (t3-t2)/(h3-h2); % slope of T/h in K/m for 25 to 47 km + a45 = (t5-t4)/(h5-h4); % slope of T/h in K/m for 53 to 79 km + a67 = (t7-t6)/(h7-h6); % slope of T/h in K/m for 90 to 105 km + + % Pressure in N/m^2 + p0 = 101325.0; + p1 = p0*(t1/t0)^(-g0/(a01*R)); + p2 = p1*exp(-(g0/(R*t1))*(h2-h1)); + p3 = p2*(t3/t2)^(-g0/(a23*R)); + p4 = p3*exp(-(g0/(R*t3))*(h4-h3)); + p5 = p4*(t5/t4)^(-g0/(a45*R)); + p6 = p5*exp(-(g0/(R*t5))*(h6-h5)); + p7 = p6*(t7/t6)^(-g0/(a67*R)); + + if h < h1 + t = t0+a01*h; + p = p0*(t/t0)^(-g0/(a01*R)); + elseif h < h2 + t = t1; + p= p1*exp(-(g0/(R*t))*(h-h1)); + elseif h < h3 + t = t2+a23*(h-h2); + p = p2*(t/t2)^(-g0/(a23*R)); + elseif h < h4 + t = t3; + p = p3*exp(-(g0/(R*t))*(h-h3)); + elseif h < h5 + t = t4+a45*(h-h4); + p = p4*(t/t4)^(-g0/(a45*R)); + elseif h < h6 + t = t5; + p = p5*exp(-(g0/(R*t))*(h-h5)); + elseif h < h7 + t = t6+a67*(h-h6); + p = p6*(t/t6)^(-g0/(a67*R)); + else + t= t7; + p = p7*exp(-(g0/(R*t))*(h-h7)); + end + rho=p/(R*t); % Density in kg/m^3 + end + + % Thrust correction based on ASTOS manual + function T = ThrustCorrection(obj, h, thrust) + [t,p,rho] = obj.CalcAtmosQuantities(h); + T = thrust*1.095 - 0.014 * p; + end + + % Calculate mass at each iteration + function CalculateMassFlow(obj,n_tb) + g0 = 9.8066; + if obj.mdot_constant == true + % Use constant mass flow rate + obj.mdot(2:n_tb) = obj.mp/obj.tb; + + % Calculate instantaneous Isp + for i = 2:n_tb + if obj.mdot(i) == 0 + obj.isp(i) = 0; + else + obj.isp(i) = obj.thrust(i)/(obj.mdot(i) * g0); + end + end + else + % Assuming constant Isp, use thrust values as ratios over + % the combined sum to obtain the mass flow rate + mdot_sum = obj.mp/obj.Timestep; + force_sum = sum(obj.thrust(1:n_tb)); + for i = 2:n_tb + obj.mdot(i) = obj.thrust(i)/force_sum * mdot_sum; + + if obj.mdot(i) == 0 + obj.isp(i) = 0; + else + obj.isp(i) = obj.thrust(i)/(obj.mdot(i) * g0); + end + end + end + end + + % Density calculation + function [T, rho] = CalculateRhoTemp(obj, h) + [T, p, rho] = obj.CalcAtmosQuantities(h); + return; + end + + % Gravity calculation + function g = CalculateGravity(obj, h) + g0 = 9.80665; % Sea Level Gravity - m/s^2 + RE = 6376000; % Radius of the Earth - m + + g = g0*(RE/(RE+h))^2; + return; + end + + % Drag interpolation + % Drag interpolation functions need to be specified separately in + % other files due to non-similarity in data. + function [Cd] = DragInterpolation(obj, V, y, t) + switch obj.ID + case "ICANSAT" + Cd = DragInterpolations_ICANSAT(V, y, t, obj.tb); + + case "MAD" + Cd = DragInterpolations_MAD(V, y, t, obj.tb); + + % Spark data not validated + case "Spark" + Cd = DragInterpolations_Spark(V, y); + end + return; + end + + % Trajectory calculation + function CalculateTrajectory(obj) + Rg = 286.9; + nSteps = obj.NSteps; + dt = obj.Timestep; + + % Calculate trajectory + for i = 2:nSteps + obj.t(i) = obj.t(i-1) + dt; + V_prev = obj.V(i-1); + y_prev = obj.y(i-1); + t_current = obj.t(i); + obj.Cd(i) = obj.DragInterpolation(V_prev, y_prev, t_current); + + % Get thrust from resampled thrust data + if obj.t(i) >= obj.tb + thrust_i = 0; + else + % Thrust correction if boolean true + if obj.thrust_correction == true + obj.thrust(i) = obj.ThrustCorrection(obj.y(i-1), obj.thrust(i)); + if obj.thrust(i) < 0 + obj.thrust(i) = 0; + end + end + thrust_i = obj.thrust(i); + end + + % Update mass + obj.m(i) = obj.m(i-1) - obj.mdot(i-1)*dt; + + % Find critical velocity for leaving launch structure + obj.Vcr(i) = sqrt((thrust_i/obj.m(i))*obj.Ls*2); + + % X Y Velocity Component Equations + obj.kd(i) = (obj.rho(i-1)*obj.Cd(i)*obj.area)/(2*obj.m(i)); + obj.kt(i) = thrust_i/obj.m(i); + obj.V(i) = sqrt(obj.u(i-1)^2 + obj.v(i-1)^2); + obj.DvDt(i) = obj.kt(i)*obj.v(i-1)/obj.V(i) - ... + obj.kd(i)*obj.v(i-1)*obj.V(i) - obj.g(i-1); + + % Use non-zero acceleration during burn phase + if obj.DvDt(i) < 0 && obj.t(i-1) <= obj.tb + obj.dvdt(i) = 0; + else + obj.dvdt(i) = obj.DvDt(i); + end + + obj.v(i) = obj.v(i-1) + obj.dvdt(i)*dt; + + obj.utheta(i) = obj.v(i) * obj.u(i-1)/obj.v(i-1); + obj.ux(i) = obj.u(i-1)+((obj.kt(i)*obj.u(i-1)/obj.V(i-1)) - ... + obj.kd(i)*obj.u(i-1)*obj.V(i-1))*dt; + + % Zero acceleration on the ground + if obj.DvDt(i) < 0 && obj.t(i-1) <= obj.tb + obj.u(i) = obj.u(i-1); + % Within the launch structure + elseif obj.x(i-1) <= obj.Lr*cos(obj.theta(1)) + obj.u(i) = obj.utheta(i); + % Under critical velocity for leaving launch structure + elseif obj.V(i) < obj.Vcr(i) + obj.u(i) = obj.utheta(i); + % In the air + else + obj.u(i) = obj.ux(i); + end + + obj.theta(i) = atan(obj.v(i)/obj.u(i)); + obj.x(i) = obj.x(i-1) + obj.u(i)*dt; + obj.y(i) = obj.y(i-1) + obj.v(i)*dt; + + % Calculate dynamic pressure + obj.q(i) = 0.5*obj.rho(i-1)*(obj.V(i-1)^2); + + % Update density + [obj.T(i), obj.rho(i)] = obj.CalculateRhoTemp(obj.y(i)); + + % Update sound speed + obj.c(i) = sqrt(1.4*Rg*obj.T(i)); + + % Update gravity + obj.g(i) = obj.CalculateGravity(obj.y(i)); + + % Update Mach no. + obj.M(i) = abs(obj.V(i))/obj.c(i); + + if obj.y(i) < 0 + obj.NStepEnd = i; + break + end + + end + + obj.theta = obj.theta*(180/pi); + obj.q = obj.q./1000; + %% PREDICTED PERFORMANCE + Vx = max(obj.V); + Mx = max(obj.M); + Yx = max(obj.y); + Xx = max(obj.x); + tx = max(obj.t); + Qx = max(obj.q); + + [valx,idxx] = max(obj.x); + [valy,idxy] = max(obj.y); + tX = obj.t(idxx); + tY = obj.t(idxy); + + disp(' '); + formatSpec = 'Apogee is %6.3f m occuring at %5.3f seconds.\n'; + fprintf(formatSpec,Yx,tY) + formatSpec = 'Landing Distance is %6.3f m occuring at %5.3f seconds.\n\n'; + fprintf(formatSpec,Xx,tX) + end + + % Write data file + function WriteDataFile(obj) + if obj.mdot_constant == true + result_dat_file = obj.ID + "_Result_" + obj.launch_angle + "deg.txt"; + else + text = "VariableMassFlow"; + result_dat_file = obj.ID + "_Result_" + obj.launch_angle + "_deg_" + text + ".txt"; + end + result_matrix = [obj.t obj.x/1000 obj.y/1000 obj.M obj.thrust obj.DvDt obj.m obj.mdot obj.isp]; + result_data = reshape(result_matrix, [], 9); + dlmwrite(result_dat_file, 'Time(s),x(km),y(km),Mach,Thrust(N),Acceleration(m/s2),Mass(kg),mdot(kg/s),Isp (s)','delimiter','') + dlmwrite(result_dat_file, result_data, '-append', 'delimiter', ','); + end + end +end \ No newline at end of file diff --git a/Code/Spark/Spark_DragData.txt b/Code/Spark/Spark_DragData.txt new file mode 100644 index 0000000..fa3b0ee --- /dev/null +++ b/Code/Spark/Spark_DragData.txt @@ -0,0 +1,8 @@ +Mach CA +0 0.41 +0.1 0.41 +0.5 0.347 +0.8 0.328 +0.95 0.347 +1.1 0.441 +1.2 0.434 \ No newline at end of file diff --git a/README.md b/README.md index 0f11c11..cdaea87 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,12 @@ -# 2-DoF-TrajectorySim +## 2-DoF Rocket Trajectory Simulation Program +This 2-DoF rocket trajectory simulation is reproduced from the Master's thesis by Zachary Doucet. The original code has been rewritten in a OOP form so that it can be reused in a simple manner for future trajectories of single-stage rockets. Drag interpolations are included as standalone files for each rocket since data format is non-similar in nature. +A validation test has been made and compared against the 6-DoF software ASTOS, from which the results of the MAD rocket have been obtained. Figures shown below are the comparisons of the altitude, Mach number and the corrected thrust curve for both 2-DoF and 6-DoF simulations. + +![](https://git.equatorial.space/jason.ong/2-DoF-TrajectorySim/raw/branch/master/2-DoF%20vs%20Astos%206-Dof.png) + +Input settings used for the 2-DoF simulation for validation are found in the MAD_Validation.m file. A similar workflow has now been created for the ICANSAT data to demonstrate code-reuseability. + +Comments: +1. Numerical calculations are adapted based on the Angle_Tests_XY.m program used in the original code by Zachery Doucet. +2. 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