From 0e47d26635088b031afdf04be5a626ff98f2c54e Mon Sep 17 00:00:00 2001 From: Rahix Date: Sun, 8 Jun 2025 06:29:04 +0200 Subject: [PATCH] Add comparison plot for spring dimensioning --- Spring-Dimensioning.ipynb | 61 +++++++++++++++++++++++++++++++++++---- 1 file changed, 55 insertions(+), 6 deletions(-) diff --git a/Spring-Dimensioning.ipynb b/Spring-Dimensioning.ipynb index 1de147c..d552e70 100644 --- a/Spring-Dimensioning.ipynb +++ b/Spring-Dimensioning.ipynb @@ -84,23 +84,23 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 99, "id": "b71de7db-a7fb-4d3a-9dd2-de8e107700a6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Text(0.5, 0, 'Excitation Frequency')" + "Text(0.5, 0, 'Excitation Frequency [Hz]')" ] }, - "execution_count": 74, + "execution_count": 99, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -123,13 +123,62 @@ "plt.ylim(0.000001, 10)\n", "plt.yscale('log')\n", "plt.ylabel(\"Dampening Ratio\")\n", - "plt.xlabel(\"Excitation Frequency\")" + "plt.xlabel(\"Excitation Frequency [Hz]\")" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "id": "fea96fd4-46e1-4f07-8fb4-25ccc0ee82a5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def ratio_for_dkm(d, k, m, f_in):\n", + " f0 = (1 / (2 * math.pi) * np.sqrt(k / m)).to(unit.Hz)\n", + " lehr = lehr_dampening_factor(d, k, m)\n", + " return amplitude_ratio(lehr, f0, f_in)\n", + "\n", + "d = dampening\n", + "k = [\n", + " spring_constant,\n", + " spring_constant / 4,\n", + "]\n", + "m = [\n", + " weight_total,\n", + " 24 * unit.kg,\n", + "]\n", + "\n", + "import matplotlib.pyplot as plt\n", + "for k_ in k:\n", + " m_ = m[0]\n", + " plt.plot(f_in, ratio_for_dkm(d, k_, m_, f_in), label=f\"{k_:~.1f}, {m_:~.1f}\")\n", + "for m_ in m[1:]:\n", + " k_ = k[0]\n", + " plt.plot(f_in, ratio_for_dkm(d, k_, m_, f_in), label=f\"{k_:~.1f}, {m_:~.1f}\")\n", + "plt.legend(loc=\"upper right\")\n", + "plt.xscale('log')\n", + "plt.ylim(0.000001, 10)\n", + "plt.yscale('log')\n", + "plt.ylabel(\"Dampening Ratio\")\n", + "plt.xlabel(\"Excitation Frequency [Hz]\")\n", + "plt.grid()" ] }, { "cell_type": "code", "execution_count": null, - "id": "fea96fd4-46e1-4f07-8fb4-25ccc0ee82a5", + "id": "e5b06973-5038-4598-aaf4-73b55866ba75", "metadata": {}, "outputs": [], "source": []