{ "cells": [ { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Montage de roues\n", "\n", "## Définitions des données\n", "\n", "Les mesures suivantes :\n", "\n", "![moyeu_avt_d](https://www.sapim.be/themes/custom/sapim/images/spoke-calculator/frontwheel-with-disc-1.png \"Moyeu avant avec disque\")\n", "\n", "![Moyeu_avt_d_side](https://www.sapim.be/themes/custom/sapim/images/spoke-calculator/frontwheel-with-disc-2.png \"Moyeu avant avec disque côté\")\n", "\n", "![jante_avt](https://www.sapim.be/themes/custom/sapim/images/spoke-calculator/img3.png \"Jante\")\n", "\n", "![epaisseur_jante](https://www.sapim.be/themes/custom/sapim/images/spoke-calculator/img4.png \"rim thickness\")\n", "\n", "- $K$ : largeur totale du moyeu avant\n", "- $K_a$ : distance entre le disque d'ancrage des rayons et l'extrémité du moyeu (coté disque)\n", "- $K_b$ : distance entre le disque d'ancrage des rayons et l'extrémité du moyeu (coté cassette)\n", "- $D1_a$ : diamètre de positionnement des trous d'ancrage des rayons (coté disque)\n", "- $D1_b$ : diamètre de positionnement des trous d'ancrage des rayons (coté cassette)\n", "- $D_{iR}$ : diamètre interne jante (voir \\ref{jante_avt})\n", "- $n_{rayons}$ : nombre de rayons\n", "- $n_{ca}$ : croisement tous les $n_{ca}$ rayons (coté disque)\n", "- $n_{cb}$ : croisement tous les $n_{ca}$ rayons (coté cassette)\n", "- $th_r$ : épaisseur de jante\n", "\n", "On calcule donc les longeurs des rayons :\n", "Côté disque :\n", "$l_{ra}=D_{iR}/2-D1_a/2$\n", "\n", "Côté cassette :\n", "$l_{rb}=D_{iR}/2-D1_b/2$\n", "\n", "## Laçage\n", "\n", "On utilise [les schémas du montage de roue pas Sheldon Brown traduits par Michel Gagnon](http://mgagnon.net/velo/roue_montage.fr.php) pour le montage\n", "\n", "![roue_rayonnee](http://mgagnon.net/velo/images-tech/roue_montage36.gif) \n", "\n", "Pour prendre en compte la largeur du moyeu\n", "On va définir une position en z telle que :\n", "\n", "- sur la jante, z=0\n", "- sur le flasque côté disque, z=-ec_a\n", "- sur le flasque côté cassette, z=ec_b\n", "\n", "## Vérification des longeurs de rayons\n", "\n", "On utilise le [calculateur de rayon de DT Swiss](https://spokes-calculator.dtswiss.com/fr/calculator) et on obtient avec des rayons DT Aerolite et 3 croisements\n", "\n", "- roue avant :\n", " - côté disque (gauche) = 267 mm\n", " - côté cassette (droite) = 270 mm\n", "- roue arrière\n", " - côté disque (gauche) = 264 mm\n", " - côté cassette (droite) = 263 mm\n" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Gravel Agathe\n", "## Roue avant Gravel Agathe\n", "\n", "Modèle de jantes : winow 300\n", "Modèle de moyeux : Novatec D791SB (avant, 28 trous) & D792SB (arrière, 28 trous)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [], "source": [ "#!pip install pandas\n", "#!pip install numpy\n", "#!pip install matplotlib\n", "#!pip install os\n", "\n", "# Common imports\n", "import numpy as np\n", "import pandas as pd\n", "from math import *\n", "import matplotlib.pyplot as plt\n", "import os\n", "\n", "from matplotlib.patches import Circle\n", "from matplotlib.patheffects import withStroke" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "D_iR=574\n", "th_r=1.8\n", "\n", "D_iR=D_iR+2*th_r" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 21.55\n", "largeur du moyeu côté disque : 34.95\n" ] } ], "source": [ "# 28 trous\n", "n_r=28\n", "\n", "K=100\n", "K_a=10.5+16.2+3.5/2\n", "K_b=K-(K_a+55+3/2)\n", "D1_a=58\n", "D1_b=45\n", "\n", "n_ca=2\n", "n_cb=2\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 277 mm\n", "longueur des rayons de queue côté disque : 272 mm\n", "longueur des rayons de tête côté cassette : 277 mm\n", "longueur des rayons de tête côté disque : 272 mm\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "### Mesures roues arrière Gravel Agathe" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 34.00\n", "largeur du moyeu côté disque : 17.50\n" ] } ], "source": [ "# 28 trous\n", "n_r=28\n", "K=142\n", "K_a=18.8+16.6+3.2/2\n", "K_b=K-(K_a+50+3/2)\n", "D1_a=58\n", "D1_b=49\n", "\n", "n_ca=2\n", "n_cb=2\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 274 mm\n", "longueur des rayons de queue côté disque : 273 mm\n", "longueur des rayons de tête côté cassette : 274 mm\n", "longueur des rayons de tête côté disque : 273 mm\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "idée pour la suite : faire un gif avec les images générées par les boucles for ci après [idee](http://www.xavierdupre.fr/blog/2013-05-25_nojs.html)\n", "\n", "# VTT 27.5 Agathe\n", "\n", "Modèle de jantes : winow 650\n", "Modèle de moyeux : Novatec D791SB (avant, 28 trous) & D792SB (arrière, 32 trous)\n", "\n", "Disponibilité des rayons : 30 rayons de 258 mm + 30 rayon de 261 mm, \\#mercilachine !\n", "\n", "**Mesures jantes :**" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [], "source": [ "D_iR=545\n", "th_r=1.8\n", "\n", "# Prise en compte de l'épaisseur de jante\n", "D_iR=545+2*1.8" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Roue Avant 27.5 VTT Agathe\n", "\n", "D'après les [données contructeur](http://www.nguide.eu/sites/default/files/mysite/hubs/51/documents/D791SB-12.pdf)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 21.55\n", "largeur du moyeu côté disque : 34.95\n" ] } ], "source": [ "# 28 trous\n", "n_r=28\n", "\n", "K=100\n", "K_a=10.5+16.2+3.5/2\n", "K_b=K-(K_a+55+3/2)\n", "D1_a=58\n", "D1_b=45\n", "\n", "n_ca=2\n", "n_cb=2\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 263 mm\n", "longueur des rayons de queue côté disque : 258 mm\n", "longueur des rayons de tête côté cassette : 263 mm\n", "longueur des rayons de tête côté disque : 258 mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "Cette configuration semble fonctionner, en particulier avec les rayons fournis.\n", "Le [Calculateur de rayons DT Swiss](https://spokes-calculator.dtswiss.com/fr/calculator) donne également :\n", "\n", "- côté cassette : 260 mm\n", "- côté disque : 255 mm" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "### Un zoom" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Zoom de la figure précédente\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print('Zoom de la figure précédente')\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "#ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "#print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "#print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "#print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "#print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.margins(x=-0.4,y=-0.4)\n", "#ax.set_xlim(-radius, radius)\n", "#ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "## Test 3 croisements " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 272 mm\n", "longueur des rayons de queue côté disque : 270 mm\n", "longueur des rayons de tête côté cassette : 272 mm\n", "longueur des rayons de tête côté disque : 270 mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_ca=3\n", "n_cb=3\n", "\n", "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "On retrouve les mêmes longeurs suggérées par le [Calculateur de rayons DT Swiss](https://spokes-calculator.dtswiss.com/fr/calculator)." ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Roue arrière VTT 27.5 Agathe\n", "D'après les [données contructeur](http://www.nguide.eu/sites/default/files/mysite/hubs/182/documents/D792SB-X12-11S.pdf)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "hideCode": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 34.00\n", "largeur du moyeu côté disque : 17.50\n" ] } ], "source": [ "# 32 trous\n", "n_r=32\n", "\n", "K=142\n", "K_a=18.8+16.6+3.2/2\n", "K_b=K-(K_a+50+3/2)\n", "D1_a=58\n", "D1_b=49\n", "\n", "n_ca=2\n", "n_cb=2\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 258 mm\n", "longueur des rayons de queue côté disque : 256 mm\n", "longueur des rayons de tête côté cassette : 258 mm\n", "longueur des rayons de tête côté disque : 256 mm\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "On retrouve bien les résultats du [Calculateur de rayons DT Swiss](https://spokes-calculator.dtswiss.com/fr/calculator)." ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Bilan Roues VTT 27.5\n", "\n", "On a monté les deux roues avec 2 croisements de chaque côté et on a utilisé les rayons de 258 mm côté disque et les rayons de 261 mm côté cassette.\n", "\n", "La roue arrière a été montée sans problème\n", "\n", "Beaucoup de difficultées à monter les rayons de tête côté cassette, surtout avec les écrous de rayons double squar : changement pour des écrous de rayons classiques pour lesquels le filetage commence plus tôt.\n", "\n", "Edit du 8/04/2020 : Le montage de la roue avant était trop difficiles, les mesures des moyeux ont été repris et les calculs refaits. On monte finalement :\n", "\n", "- Roue avant : Rayons de 261 mm des deux côtés avec écrous classiques secure lock\n", "- Roue arrière : Rayons de 258 mm des deux côtés\n", "\n" ] } ], "metadata": { "hide_code_all_hidden": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }