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+import matplotlib.pyplot as plt # Перед запуском скрипта установите библиотеки (если они еще не установлены): +import sys # $ pip3 install ezdxf matplotlib numpy +import numpy as np # + +""" Скрипт расчета и построения профиля волнового редуктора с промежуточными телами качения (ВПТК) +Автор: Артём TrashRobotics +Канал: https://www.youtube.com/@trashrobotics +Бусти: https://boosty.to/trashrobotics +Git: https://codeberg.org/TrashRobotics + +В общем, вводите основные данные (передаточое число, диаметр шариков, радиус профиля жесткого колеса) для редуктора, +который вам нужен и скрипт автоматически посчитает все параметры и построит: +1) профиль жесткого колеса (BASE_WHEEL_SHAPE) +2) сепаратор (SEPARATOR) +3) волнообрахователь/эксцентрик (ECCENTRIC) +4) шарики (BALLS) +5) внешний диаметр редуктора (OUT_DIAMETER) + +После чего запишет все в файл с разрешением DXF, который можно будет открыть в любом CAD. +""" +OUT_FILE = "vptc6.dxf" # Имя файла в который будет сохранен профиль +RESOLUTION = 800 # Количество точек построения профиля жесткого колеса +i = 6 # Нужное вам передаточное число +dsh = 4 # Диаметр шариков от подшипника +Rout = 21 # Внешний радиус впадин жесткого колеса +D = 48 # Внешний диаметр редуктора (опционально) +u = 1 # Число волн, создаваемых волнообразователем (НЕ ТРОГАТЬ, т.к для более чем 1 не расчитывалось) + +# Флаги, определяющие какие профили будут построены и перенесены в чертеж. Те, которые не нужны, можно отключить +BASE_WHEEL_SHAPE = True +SEPARATOR = True +ECCENTRIC = True +BALLS = False # только для демонстрации (в чертеж НЕ переносить: запутаетесь. Шарики расположены друг от друга не на равном расстоянии) +OUT_DIAMETER = True +""" --------------------------------------------------------------------------------------- """ +""" Все, что ниже вам уже не нужно, оно будет работать само. Или скажет: почему не работает """ +""" --------------------------------------------------------------------------------------- """ + +e = 0.2 * dsh +zg = (i+1)*u +zsh = i +Rin = Rout - 2*e +rsh = dsh/2 +rd = Rin + e - dsh +hc = 2.2*e +Rsep_m = rd + rsh +Rsep_out = Rsep_m + hc/2 +Rsep_in = Rsep_m - hc/2 + +print("........................") +print("Основные параметры ВПТК:") +print("- Передаточное число: ", i) +print("- Эксцентриситет: ", e) +print("- Радиус эксцентрика: ", rd) +print("- Внешний радиус профиля жесткого колеса: ", Rout) +print("- Внутренний радиус профиля жесткого колеса: ", Rin) +print("- Число впадин профиля жесткого колеса: ", zg) +print("- Число шариков: ", zsh) +print("- Диаметр шариков: ", dsh) +print("- Делительный радиус сепаратора: ", Rsep_m) +print("- Толщина сепаратора: ", hc) +print("........................") +print("........................") + +if Rin <= ((1.03 * dsh)/np.sin(np.pi/zg)): + print("Так не пойдет -_-)") + print("Внутренний радиус впадин жесткого колеса Rin({0}мм) должен быть больше: {1}мм. Увеличьте Rout или уменьшите " + "передаточное число (i)!".format(Rin, (1.03 * dsh)/np.sin(np.pi/zg))) + sys.exit(1) + +#print(rd/rsh, 0.65*zg+2.8) + +theta = np.linspace(0, 2*np.pi, RESOLUTION) + +S = np.sqrt((rsh + rd) ** 2 - np.power(e * np.sin(zg * theta), 2)) +l = e * np.cos(zg * theta) + S +Xi = np.arctan2(e*zg*np.sin(zg*theta), S) + +x = l*np.sin(theta) + rsh * np.sin(theta + Xi) +y = l*np.cos(theta) + rsh * np.cos(theta + Xi) + +xy = np.stack((x, y), axis=1) + + +sh_angle = np.linspace(0, 1, zsh+1) * 2*np.pi +S_sh = np.sqrt((rsh + rd) ** 2 - np.power(e * np.sin(zg * sh_angle), 2)) +l_Sh = e * np.cos(zg * sh_angle) + S_sh +x_sh = l_Sh*np.sin(sh_angle) +y_sh = l_Sh*np.cos(sh_angle) + + +doc = ezdxf.new("R2000") +msp = doc.modelspace() + +if BASE_WHEEL_SHAPE: + msp.add_point([0, 0]) + msp.add_lwpolyline(xy) + # msp.add_circle((0, 0), radius=Rout) + # msp.add_circle((0, 0), radius=Rin) + +if SEPARATOR: + msp.add_circle((0, 0), radius=Rsep_out) + msp.add_circle((0, 0), radius=Rsep_in) + +if ECCENTRIC: + msp.add_point([0, e]) + msp.add_lwpolyline([[0, 0], [0, e]]) + msp.add_lwpolyline([[-6, 0], [6, 0]]) + msp.add_lwpolyline([[-3, e], [3, e]]) + msp.add_circle((0, e), radius=rd) + +if BALLS: + for i in range(zsh): + msp.add_circle((x_sh[i], y_sh[i]), radius=rsh) + +if OUT_DIAMETER: + msp.add_circle((0, 0), radius=D/2) + +doc.saveas(OUT_FILE) + +print("Профиль построен и записа в файл:", OUT_FILE) + +# Дополнительная визуализация результата в matplotlib +if True: + fig, ax = plt.subplots(figsize=(8, 8)) + + ax.plot(x, y, linewidth=1.0) + ax.plot([0, 0], (0, e), ".", linewidth=1.0) + ax.plot([-6, 6], (0, 0), "--k", linewidth=1.0) + ax.plot([-3, 3], (e, e), "--k", linewidth=1.0) + D_circle = plt.Circle((0, 0), D / 2, color='b', fill=False, linewidth=1.0) + rd_circle = plt.Circle((0, e), rd, color='b', fill=False, linewidth=1.0) + Rsep_out_circle = plt.Circle((0, 0), Rsep_out, fill=False, linewidth=1.0) + Rsep_in_circle = plt.Circle((0, 0), Rsep_in, 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