diff --git a/.DS_Store b/.DS_Store index edf74a9d10257323470d88f2c86219d6af2b01ce..181d7c098d79d04ede12b2dabc73a0f76ad7430d 100644 Binary files a/.DS_Store and b/.DS_Store differ diff --git a/Aeromechanik/.DS_Store b/Aeromechanik/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..d4f053a90ac60b38feac67ea5ad64054f0362f27 Binary files /dev/null and b/Aeromechanik/.DS_Store differ diff --git a/Aeromechanik/Aeromechanik.ipynb b/Aeromechanik/Aeromechanik.ipynb index 3e6f65204c3cf0f341e520266037467cfaa726fd..e8298ae21d980ef451c3f474fca2b8139c1ec5d6 100644 --- a/Aeromechanik/Aeromechanik.ipynb +++ b/Aeromechanik/Aeromechanik.ipynb @@ -109,7 +109,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 32, "id": "790c4e5e", "metadata": {}, "outputs": [], @@ -127,6 +127,7 @@ "from uncertainties.unumpy import nominal_values, nominal_values as nomv, std_devs, std_devs as stdv\n", "from uncertainties.umath import sqrt as usqrt, sin as usin,exp as uexp\n", "import matplotlib.pyplot as plt\n", + "import matplotlib.image as mpimg\n", "import os\n", "\n", "import kafe2\n", @@ -1081,7 +1082,7 @@ "offset_lift = 0.1\n", "\n", "df41 = pd.read_csv('Aufgabe 4/4.1.csv')\n", - "φ = df41['Degrees'] #* np.pi / 180 \n", + "φ = df41['Degrees'] \n", "Lift = df41['Lift in N'] - offset_lift \n", "Drag = df41['Drag in N'] - offset_drag\n", "\n", @@ -1137,34 +1138,6 @@ "plt.show()" ] }, - { - "cell_type": "code", - "execution_count": 23, - "id": "496cad38", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(subplot_kw={'projection': 'polar'})\n", - "ax.scatter(φ, Lift, label='Lift',marker='x')\n", - "ax.scatter(φ, Drag, label='Drag',marker='x')\n", - "\n", - "ax.set_title(\"Polardiagramm von Lift und Drag\", va='bottom')\n", - "ax.legend()\n", - "\n", - "plt.show()\n" - ] - }, { "cell_type": "code", "execution_count": 27, @@ -1336,6 +1309,153 @@ "---" ] }, + { + "cell_type": "code", + "execution_count": 87, + "id": "9aebbc00", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Loch nummer 20 0 -20\n", + "0 1 37 91 55\n", + "1 2 -45 -32 10\n", + "2 3 -22 -29 -10\n", + "3 4 -5 -9 -9\n", + "4 5 -1 -1 -2\n", + "5 6 21 -11 -50\n", + "6 7 17 -5 -45\n", + "7 8 8 0 -9\n", + "8 9 3 0 0\n" + ] + } + ], + "source": [ + "offset42 = 5\n", + "\n", + "df42 = pd.read_csv('Aufgabe 4/4.2.csv')\n", + "# print(df42)\n", + "\n", + "df42_new = pd.read_csv('Aufgabe 4/4.2 new.csv')\n", + "print(df42_new)\n", + "\n", + "p20 = df42_new['20']\n", + "p0 = df42_new['0']\n", + "pneg20 = df42_new['-20']" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "b7f446b7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 1500x1000 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 1500x1000 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 1500x1000 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rescale = 3 #Faktor, wie viele Pixel ein Pascal darstellen\n", + "angle = math.atan(321/97) #Winkel des schrägen Endes\n", + "\n", + "#Geschäzte Position der Löcher in Diagram\n", + "pos_holes = np.array([ \n", + " (62, 183),\n", + " (155, 72),\n", + " (285, 63),\n", + " (748, 117),\n", + " (1072, 212),\n", + " (155, 304),\n", + " (285, 304),\n", + " (748, 304),\n", + " (1072, 304),\n", + "])\n", + "\n", + "#Wo der Text hinsoll\n", + "pos_text = np.array([\n", + " (-250, 160),\n", + " (-150, -60),\n", + " (285, -60),\n", + " (748, 80),\n", + " (1072, 180),\n", + " (-150, 460),\n", + " (285, 460),\n", + " (748, 375),\n", + " (1072, 375)\n", + "])\n", + "\n", + "#Richtung in die die Pfeile zeigen\n", + "direction = np.array([\n", + " [-1, 0], \n", + " [0, -1], \n", + " [0, -1], \n", + " [math.cos(angle), -math.sin(angle)], \n", + " [math.cos(angle), -math.sin(angle)], \n", + " [0, 1], \n", + " [0, 1], \n", + " [0, 1], \n", + " [0, 1]\n", + "])\n", + "\n", + "#Logik, um positiven Druck zur Tragfläche zeigen zu lassen\n", + "arrows = []\n", + "for j in ('-20','0','20'):\n", + " arrow = []\n", + " for i, pos in enumerate(pos_holes):\n", + " dir = direction[i]*df42_new[j][i] * rescale\n", + " if df42_new[j][i] < 0:\n", + " arrow.append([pos[0], pos[1], -dir[0], -dir[1]])\n", + " else:\n", + " arrow.append([pos[0] + dir[0], pos[1] + dir[1], -dir[0], -dir[1]])\n", + " arrows.append(arrow)\n", + "\n", + "#Bilder werden gemalt und Text dazugedruckt\n", + "for j, deg in enumerate(['-20','0','20']): \n", + " wip = plt.figure(\"demo\", figsize=(15.0, 10.0))\n", + " wip = mpimg.imread(\"figures/wing_profile.png\")\n", + " wipplot = plt.imshow(wip)\n", + " # Re-adjust aix ranges \n", + " plt.xlim(-300.,1500.)\n", + " plt.ylim(600.,-250.)\n", + " # Draw arrows for every hole\n", + " for i, pos in enumerate(arrows[j]):\n", + " plt.arrow(pos[0], pos[1], pos[2], pos[3], color=\"black\", length_includes_head=True, width=2, head_width=20., head_length=20.)\n", + " texstring = r'$p^{({' + str(i+1) + r'})}=(' + str(df42_new[deg][i]) + r'\\pm' + str(3) + r')\\,\\mathrm{Pa}$'\n", + " plt.text(pos_text[i][0],pos_text[i][1], texstring, fontsize=12)\n", + " \n", + " plt.title(f\"Druckdiagramm beim Flügel mit {deg}° Neigung\")\n", + " plt.show()" + ] + }, { "cell_type": "markdown", "id": "49e74e25-8555-4430-81e0-61bd0d31e112", diff --git a/Aeromechanik/Aufgabe 4/.DS_Store b/Aeromechanik/Aufgabe 4/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..5d22f4744f9e45dce56d1138cc4d9b705e150b97 Binary files /dev/null and b/Aeromechanik/Aufgabe 4/.DS_Store differ diff --git a/Aeromechanik/Aufgabe 4/4.2 new.csv b/Aeromechanik/Aufgabe 4/4.2 new.csv new file mode 100644 index 0000000000000000000000000000000000000000..918c07cc3f771344e958dd215a4553e85651a3bb --- /dev/null +++ b/Aeromechanik/Aufgabe 4/4.2 new.csv @@ -0,0 +1,10 @@ +Loch nummer,20,0,-20 +1,37,91,55 +2,-45,-32,10 +3,-22,-29,-10 +4,-5,-9,-9 +5,-1,-1,-2 +6,21,-11,-50 +7,17,-5,-45 +8,8,0,-9 +9,3,0,0