From e579ee00fdbbe1f4c825b6a2371460ca9fffbed4 Mon Sep 17 00:00:00 2001 From: Rahix Date: Sat, 7 Jun 2025 19:10:57 +0200 Subject: [PATCH] Update spring calc sheet --- Spring-Dimensioning.ipynb | 28 ++++++++++++++++++++-------- 1 file changed, 20 insertions(+), 8 deletions(-) diff --git a/Spring-Dimensioning.ipynb b/Spring-Dimensioning.ipynb index a91901d..1de147c 100644 --- a/Spring-Dimensioning.ipynb +++ b/Spring-Dimensioning.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 60, + "execution_count": 72, "id": "5bef2913-4855-471d-9594-5ec45c029048", "metadata": {}, "outputs": [ @@ -46,7 +46,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 73, "id": "f21d84d9-c7a1-4fd2-aa32-136f04db32e5", "metadata": { "editable": true, @@ -68,7 +68,7 @@ "" ] }, - "execution_count": 61, + "execution_count": 73, "metadata": {}, "output_type": "execute_result" } @@ -84,13 +84,23 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 74, "id": "b71de7db-a7fb-4d3a-9dd2-de8e107700a6", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "text/plain": [ + "Text(0.5, 0, 'Excitation Frequency')" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" ] @@ -104,14 +114,16 @@ " eta = f / f0\n", " return 1 / np.sqrt((1 - eta**2)**2 + (2 * eta * lehr)**2)\n", "\n", - "f_in = np.logspace(0, 4, 100) * unit.Hz\n", + "f_in = np.logspace(0, 3.5, 100) * unit.Hz\n", "ratio = amplitude_ratio(lehr_dampening, f0, f_in)\n", "\n", "import matplotlib.pyplot as plt\n", "plt.plot(f_in, ratio)\n", "plt.xscale('log')\n", - "plt.ylim(0.00001, 10)\n", - "plt.yscale('log')" + "plt.ylim(0.000001, 10)\n", + "plt.yscale('log')\n", + "plt.ylabel(\"Dampening Ratio\")\n", + "plt.xlabel(\"Excitation Frequency\")" ] }, {