抛物线中间

Question

我正在编写一个代码来绘制辊轮廓。滚子的半径可能有所不同，我想获得的轮廓是凹面抛物线。要求是我应该能够在它们之间生成带有不同辐射和不同类似抛物线的结构的随机辊轮廓。以下是我编写的示例代码，但希望它更通用，并且还希望在Python中使用随机功能来生成随机轮廓。

有人可以帮忙吗？我需要在线段之间生成n个具有不同辐射和不同抛物线形状的滚筒数。同样，抛物线不必总是躺在y = 0上。它应该能够左右移动。

import matplotlib.pyplot as plt
import numpy as np
import random


def rec():
    x = list(np.arange(-15, 16, 1))
    y = [-35, 35]

    y0 = []
    for xv in x:
        p = (xv, y[0])
        y0.append(p)

    y1 = []
    for xv in x:
        q = (xv, y[-1])
        y1.append(q)

    # plt.plot(x_val, y_val)
    x_range = [elx[0] for elx in y0]
    y_nve = [ely[1] for ely in y0]

    # plt.plot(x_val, y_val)
    y_pve = [ely[1] for ely in y1]

    return x, x_range, y_nve, y_pve


def parabolic_ins():
    x, x_range, y_nve, y_pve = rec()
    nl = []
    xr = []
    for xp, yp in zip(x, y_pve):
        if -7 <= xp <= 7:
            a = 1
            b = 0
            c = 2
            yc = yp
            yp = a * (xp ** 2)  # yp value should not cross 35 so that parabola doesn't shift with corner edge
            if yp <= yc:
                nl.append(yp)
                xr.append(xp)
            print(nl, xr)
        else:
            nl.append(yp)
            xr.append(xp)
    nk = [-x for x in nl]
    aa = xr + xr
    bb = nl + nk

    plt.plot(aa, bb)
    # plt.axis([x_range, nl])
    plt.show()


parabolic_ins()