# This file is part of Marius Peter's airfoil analysis package (this program). # # This program is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 3 of the License, or # (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . import sys import os.path import numpy as np from math import sin, cos, tan, atan, sqrt, ceil import bisect as bi import matplotlib.pyplot as plt import matplotlib as mpl from mpl_toolkits.mplot3d import Axes3D # This variable is required for main.py constant wing dimensions # to be passed to inheriting classes (Airfoil, Spar, Stringer, Rib). # This way, we don't have to redeclare our coordinates as parameters for # our spars, stringers and ribs. This makes for more elegant code. global parent # Marius makes a change. class Coordinates: """ All classes need coordinates relative to the chord & semi-span. So, they all inherit from this class. """ def __init__(self, chord, semi_span): # Global dimensions self.chord = chord self.semi_span = semi_span # Upper coordinates self.x_u = [] self.y_u = [] # Lower coordinates self.x_l = [] self.y_l = [] # Upper coordinates self.x_u = [] self.y_u = [] # Lower coordinates self.x_l = [] self.y_l = [] # Coordinates x_u, y_u, x_l, y_l packed in single list self.coordinates = [] global parent parent = self def create(self, chord, semi_span): self.chord = chord self.semi_span = semi_span chord = self.chord semi_span = self.semi_span class Airfoil(Coordinates): """This class enables the creation of a NACA airfoil.""" def __init__(self): global parent # Run 'Coordinates' super class init method with same chord & 1/2 span. super().__init__(parent.chord, parent.semi_span) # NACA number self.naca_num = int() # Mean camber line self.x_c = [] self.y_c = [] # Thickness self.y_t = [] # dy_c / d_x self.dy_c = [] # Theta self.theta = [] def naca(self, naca_num): """ This function generates geometry for our chosen NACA airfoil shape.\ The nested functions perform the required steps to generate geometry,\ and can be called to solve the geometry y-coordinate for any 'x' input.\ Equation coefficients were retrieved from Wikipedia.org. Parameters: naca_num: 4-digit NACA wing chord: wing chord length, in any unit Return: None """ # Variables extracted from 'naca_num' argument passed to the function self.naca_num = naca_num m = int(str(naca_num)[0]) / 100 p = int(str(naca_num)[1]) / 10 t = int(str(naca_num)[2:]) / 100 # Chord length. Should be higher than 10. if self.chord < 10: self.chord = 10 # x-coordinate of maximum camber p_c = p * self.chord def get_camber(x): """ Returns 1 camber y-coordinate from 1 'x' along the airfoil chord. """ x_c = x y_c = float() if 0 <= x < p_c: y_c = (m / (p**2)) * (2 * p * (x / self.chord) - (x / self.chord)**2) elif p_c <= x <= self.chord: y_c = (m / ((1 - p)**2)) * ((1 - 2 * p) + 2 * p * (x / self.chord) - (x / self.chord)**2) else: print('x-coordinate for camber is out of bounds. ' 'Check that 0 < x <= chord.') return (x_c, y_c * self.chord) def get_thickness(x): """ Returns thickness from 1 'x' along the airfoil chord. """ y_t = float() if 0 <= x <= self.chord: y_t = 5 * t * self.chord * (0.2969 * sqrt(x / self.chord) - 0.1260 * (x / self.chord) - 0.3516 * (x / self.chord)**2 + 0.2843 * (x / self.chord)**3 - 0.1015 * (x / self.chord)**4) else: print('x-coordinate for thickness is out of bounds. ' 'Check that 0 < x <= chord.') return y_t def get_dy_c(x): """ Returns dy_c/dx from 1 'x' along the airfoil chord. """ dy_c = float() if 0 <= x < p_c: dy_c = ((2 * m) / p**2) * (p - x / self.chord) elif p_c <= x <= self.chord: dy_c = (2 * m) / ((1 - p)**2) * (p - x / self.chord) return dy_c def get_theta(dy_c): theta = atan(dy_c) return theta def get_upper_coordinates(x): x_u = float() y_u = float() if 0 <= x < self.chord: x_u = x - self.y_t[x] * sin(self.theta[x]) y_u = self.y_c[x] + self.y_t[x] * cos(self.theta[x]) elif x == self.chord: x_u = x - self.y_t[x] * sin(self.theta[x]) y_u = 0 # Make upper curve finish at y = 0 return (x_u, y_u) def get_lower_coordinates(x): x_l = float() y_l = float() if 0 <= x < self.chord: x_l = (x + self.y_t[x] * sin(self.theta[x])) y_l = (self.y_c[x] - self.y_t[x] * cos(self.theta[x])) elif x == self.chord: x_l = (x + self.y_t[x] * sin(self.theta[x])) y_l = 0 # Make lower curve finish at y = 0 return (x_l, y_l) # Generate all our wing geometries from previous sub-functions for x in range(0, self.chord + 1): self.x_c.append(get_camber(x)[0]) self.y_c.append(get_camber(x)[1]) self.y_t.append(get_thickness(x)) self.dy_c.append(get_dy_c(x)) self.theta.append(get_theta(self.dy_c[x])) self.x_u.append(get_upper_coordinates(x)[0]) self.y_u.append(get_upper_coordinates(x)[1]) self.x_l.append(get_lower_coordinates(x)[0]) self.y_l.append(get_lower_coordinates(x)[1]) self.coordinates.append(self.x_u) self.coordinates.append(self.y_u) self.coordinates.append(self.x_l) self.coordinates.append(self.x_l) return None def print_geometry(self, round): """ Print all the declared geometry to the terminal. """ # Print all our basic geometry, useful for debugging print('Chord length') print(self.chord) print('x_c the x-coordinates of the mean camber line') print(np.around(self.x_c, round)) print('y_c the y-coordinates of the mean camber line') print(np.around(self.y_c, round)) print('y_t the y-coordinates of the airfoil thickness') print(np.around(self.y_t, round)) print('dy_c the derivative of y_c with respect to dx') print(np.around(self.dy_c, round)) print('theta is like an angle, idk') print(np.around(self.theta, round)) print('x_u the x-coordinates of the upper airfoil surface') print(np.around(self.x_u, round)) print('y_u the y-coordinates of the upper airfoil surface') print(np.around(self.y_u, round)) print('x_l the x-coordinates of the lower airfoil surface') print(np.around(self.x_l, round)) print('y_l the y-coordinates of lower airfoil surface') print(np.around(self.y_l, round)) return None def save_values(self, airfoil_number, save_dir_path): """ Save all the declared geometry to save_dir_path (must be full path). """ file_name = 'airfoil_%s' % airfoil_number full_path = os.path.join(save_dir_path, file_name + '.txt') file = open(full_path, 'w') sys.stdout = file self.print_geometry(4) return None class Spar(Coordinates): """Contains a single spar's location and material.""" global parent def __init__(self): super().__init__(parent.chord, parent.semi_span) # Spar material self.spar_material = [] def add_spar(self, coordinates, material, spar_x): """ Add a single spar at the % chord location given to function. Parameters: coordinates: provided by Airfoil.coordinates[x_u, y_u, x_l, y_l]. material: spar's material. Assumes homogeneous material. spar_x: spar's location as a % of total chord length. Return: None """ # Airfoil surface coordinates # unpacked from 'coordinates' (list of lists in 'Airfoil'). x_u = coordinates[0] y_u = coordinates[1] x_l = coordinates[2] y_l = coordinates[3] # Scaled spar location with regards to chord loc = spar_x * self.chord # bisect_left: returns index of first value in x_u > loc. # This ensures that the spar coordinates intersect with airfoil surface. spar_x_u = bi.bisect_left(x_u, loc) # index of spar's x_u spar_x_l = bi.bisect_left(x_l, loc) # index of spar's x_l # These x and y coordinates are assigned to the spar, NOT airfoil. self.x_u.append(x_u[spar_x_u]) self.y_u.append(y_u[spar_x_u]) self.x_l.append(x_l[spar_x_l]) self.y_l.append(y_l[spar_x_l]) self.spar_material = material return None class Stringer(): """Contains the coordinates of stringer(s) location and material.""" def __init__(self): # Stringer attributes self.stringer_x_u = [] self.stringer_y_u = [] self.stringer_x_l = [] self.stringer_y_l = [] self.stringer_mat = [] def add_stringers(self, material, *density): """ Add stringers to the wing from their distribution density between spars. First half of density[] concerns stringer distribution on Parameters: material: stringer material *density: """ # Find interval between leading edge and first upper stringer, # from density parameter den_u_1. interval = self.spar_x_u[0] / (den_u_1 * self.spar_x_u[0]) # initialise first self.stringer_x_u at first interval. x = interval # Add upper stringers until first spar. while x < self.spar_x_u[0]: # Index of the first value of self.x_u > x x_u = bi.bisect_left(self.x_u, x) self.stringer_x_u.append(self.x_u[x_u]) self.stringer_y_u.append(self.y_u[x_u]) x += interval # Find interval between leading edge and first lower stringer, # from density parameter den_l_1. interval = self.spar_x_u[0] / (den_l_1 * self.spar_x_u[0]) # initialise first self.stringer_x_l at first interval. x = interval # Add lower stringers until first spar. while x < self.spar_x_l[0]: # Index of the first value of self.x_l > x x_u = bi.bisect_left(self.x_l, x) self.stringer_x_l.append(self.x_l[x_u]) self.stringer_y_l.append(self.y_l[x_u]) x += interval return None def plot(airfoil, spar): """This function plots the elements passed as arguments.""" print('Plotting airfoil.') # Plot chord x_chord = [0, airfoil.chord] y_chord = [0, 0] plt.plot(x_chord, y_chord, linewidth='1') # Plot mean camber line plt.plot(airfoil.x_c, airfoil.y_c, '-.', color='r', linewidth='2', label='mean camber line') # Plot upper surface plt.plot(airfoil.x_u, airfoil.y_u, '', color='b', linewidth='1') # Plot lower surface plt.plot(airfoil.x_l, airfoil.y_l, '', color='b', linewidth='1') # Plot spars try: for _ in range(0, len(spar.x_u)): x = (spar.spar_x_u[_], spar.spar_x_l[_]) y = (spar.spar_y_u[_], spar.spar_y_l[_]) plt.plot(x, y, '.-', color='b', label='spar') plt.legend() except: print('Did plot spars. Were they added?') # Plot stringers # if len(self.spar_x) != 0: # for _ in range(0, len(self.stringer_x)): # x = (self.stringer_x[_], self.stringer_x[_]) # y = (self.stringer_y_u[_], self.stringer_y_l[_]) # plt.scatter(x, y, color='y', linewidth='1', # else: # print('Unable to plot stringers. Were they created?') # Graph formatting plt.gcf().set_size_inches(9, 2.2) plt.xlabel('X axis') plt.ylabel('Y axis') # plt.gcf().set_size_inches(self.chord, max(self.y_u) - min(self.y_l)) plt.grid(axis='both', linestyle=':', linewidth=1) plt.show() return None def main(): return None if __name__ == '__main__': main()