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plotter3D.py
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plotter3D.py
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from matplotlib.colors import Normalize
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
import numpy as np
import matplotlib.cm as cm
class Posprocess():
"""
Classe destinada ao pos processamento dos dados de treliça tridimensional
- plotar os graficos
"""
def __init__(self, model):
self.nodes = model.nodes
self.elementos = model.elementos
self.contorno = model.contorno
self.A = model.A
self.forcas = model.forcas
# material
self.modYoung = model.E
def plotDeslocamento3D(self, des):
fig = plt.figure('Plote das forma deformada')
#ax = fig.add_subplot(111, projection='3d')
ax = plt.axes(projection='3d')
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.set_zlabel('z')
scale = 1./np.max(np.abs(des))
ax.set_title(f'Deslocamento da estrutura')
for pontos in self.contorno:
#print(self.nodes[pontos[0]][1], self.nodes[pontos[0]][2], self.nodes[pontos[0]][3])
ax.scatter3D(self.nodes[pontos[0]][1], self.nodes[pontos[0]][2], self.nodes[pontos[0]][3], marker = '*', color = 'black')
for elem in self.elementos:
#ax.scatter3D( [self.nodes[elem[1]][1], self.nodes[elem[2]][1]], [self.nodes[elem[1]][2],self.nodes[elem[2]][2]], [self.nodes[elem[1]][3],self.nodes[elem[2]][3]])
# ([Xelem1,Xelem2], [Yelem1,Yelem2], [Zelem1,Zelem2])
ax.plot3D( [self.nodes[elem[1]][1], self.nodes[elem[2]][1]],
[self.nodes[elem[1]][2], self.nodes[elem[2]][2]],
[self.nodes[elem[1]][3],self.nodes[elem[2]][3]], '--k' )
#ax.text(x = self.nodes[elem[1]][1] , y = self.nodes[elem[1]][2] , z = self.nodes[elem[1]][3] , s = str(self.nodes[elem[1]][0]) )
#ax.text(x = self.nodes[elem[2]][1] , y = self.nodes[elem[2]][2] , z = self.nodes[elem[2]][3] , s = str(self.nodes[elem[2]][0]) )
#delocamento
ax.plot3D( [ self.nodes[elem[1]][1] + scale*des[3*elem[1]], self.nodes[elem[2]][1] + scale*des[3*elem[2]]],
[ self.nodes[elem[1]][2] + scale*des[ 3*elem[1] + 1 ] , self.nodes[elem[2]][2] + scale*des[ 3*elem[2] + 1 ]],
[ self.nodes[elem[1]][3] + scale*des[ 3*elem[1] + 2 ], self.nodes[elem[2]][3] + scale*des[ 3*elem[2]+ 2 ]], '--r' )
#plt.axis('equal')
plt.show()
def plotDeslocamento2D(self, des):
fig = plt.figure('Plote das forma deformada')
#ax = fig.add_subplot(111, projection='3d')
ax = plt.axes()
ax.set_xlabel('x')
ax.set_ylabel('y')
scale = 1./np.max(np.abs(des))
ax.set_title(f'Deslocamento da estrutura')
for pontos in self.contorno:
#plot cc
ax.scatter(self.nodes[pontos[0]][1], self.nodes[pontos[0]][2], marker = '*', color = 'black')
for elem in self.elementos:
ax.plot( [self.nodes[elem[1]][1], self.nodes[elem[2]][1]],
[self.nodes[elem[1]][2], self.nodes[elem[2]][2]], '--k' )
#delocamento
ax.plot( [ self.nodes[elem[1]][1] + scale*des[3*elem[1]], self.nodes[elem[2]][1] + scale*des[3*elem[2]]],
[ self.nodes[elem[1]][2] + scale*des[ 3*elem[1] + 1 ] , self.nodes[elem[2]][2]+ scale*des[ 3*elem[2] + 1 ]], '--r' )
#plt.axis('equal')
plt.show()
def plotModoVibra3D(self, phi, mode):
fig = plt.figure('Plote dos modos de vibrar da estrutura')
#ax = fig.add_subplot(111, projection='3d')
ax = plt.axes(projection='3d')
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.set_zlabel('z')
ax.set_title(f'{mode + 1} ° modo de vibrar da estrutura')
scale = 3./np.max(np.abs(phi))
for elem in self.elementos:
#ax.scatter3D( [self.nodes[elem[1]][1], self.nodes[elem[2]][1]], [self.nodes[elem[1]][2],self.nodes[elem[2]][3]], [self.nodes[elem[1]][3],self.nodes[elem[2]][3]], s = 100)
# ([Xelem1,Xelem2], [Yelem1,Yelem2], [Zelem1,Zelem2])
ax.plot3D( [self.nodes[elem[1]][1], self.nodes[elem[2]][1]],
[self.nodes[elem[1]][2], self.nodes[elem[2]][2]],
[self.nodes[elem[1]][3],self.nodes[elem[2]][3]], color="green", linewidth=2.0, linestyle="-" )
# modo de vibrar
ax.plot3D( [ self.nodes[elem[1]][1] + scale*phi[mode][3*elem[1]], self.nodes[elem[2]][1] + scale*phi[mode][3*elem[2]] ],
[ self.nodes[elem[1]][2] + scale*phi[mode][ 3*elem[1] + 1 ] , self.nodes[elem[2]][2] + scale*phi[mode][ 3*elem[2] + 1 ]],
[ self.nodes[elem[1]][3] + scale*phi[mode][ 3*elem[1] + 2 ], self.nodes[elem[2]][3] + scale*phi[mode][ 3*elem[2]+ 2 ]], '--r' )
#plt.axis('equal')
plt.show()
def plotModoVibra2D(self, phi, mode):
fig = plt.figure('Plote dos modos de vibrar da estrutura')
#ax = fig.add_subplot(111, projection='3d')
ax = plt.axes()
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.set_title(f'{mode + 1} ° modo de vibrar da estrutura')
scale = 3./np.max(np.abs(phi))
for elem in self.elementos:
#ax.scatter3D( [self.nodes[elem[1]][1], self.nodes[elem[2]][1]], [self.nodes[elem[1]][2],self.nodes[elem[2]][3]], [self.nodes[elem[1]][3],self.nodes[elem[2]][3]], s = 100)
# ([Xelem1,Xelem2], [Yelem1,Yelem2], [Zelem1,Zelem2])
ax.plot( [self.nodes[elem[1]][1], self.nodes[elem[2]][1]],
[self.nodes[elem[1]][2], self.nodes[elem[2]][2]], color="green", linewidth=2.0, linestyle="-" )
# modo de vibrar
ax.plot3D( [ self.nodes[elem[1]][1] + scale*phi[mode][3*elem[1]], self.nodes[elem[2]][1] + scale*phi[mode][3*elem[2]] ],
[ self.nodes[elem[1]][2] + scale*phi[mode][ 3*elem[1] + 1 ] , self.nodes[ele[2]][2] + scale*phi[mode][ 3*elem[2] + 1 ]], '--r' )
#plt.axis('equal')
plt.show()
def plotStress3D(self, stress, var=''):
fig = plt.figure('Plote das tensões')
#ax = fig.add_subplot(111)
ax = plt.axes(projection='3d')
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.set_zlabel('z')
ax.set_title(f'Tensão na estrutura')
for pontos in self.contorno:
ax.scatter3D(self.nodes[pontos[0]][1], self.nodes[pontos[0]][2], self.nodes[pontos[0]][3], marker = '*', color = 'black')
norm = plt.Normalize(np.min(stress), np.max(stress))
cmap = plt.get_cmap('gist_rainbow')
c = cmap(norm(stress))
# plotando as linhas
for index,elem in enumerate(self.elementos):
ax.plot3D( [self.nodes[elem[1]][1], self.nodes[elem[2]][1]], [self.nodes[elem[1]][2],self.nodes[elem[2]][2]], [self.nodes[elem[1]][3],self.nodes[elem[2]][3]], linewidth=(self.A[index]/max(self.A))*5, markersize=5, c=c[index])
# ([Xelem1,Xelem2], [Yelem1,Yelem2], [Zelem1,Zelem2])
ax.text(x = self.nodes[elem[1]][1] , y = self.nodes[elem[1]][2] , z = self.nodes[elem[1]][3] , s = str(self.nodes[elem[1]][0]) )
#ax.text(x = self.nodes[elem[2]][1] , y = self.nodes[elem[2]][2] , z = self.nodes[elem[2]][3] , s = str(self.nodes[elem[2]][0]) )
cbar = plt.colorbar(cm.ScalarMappable(norm=norm, cmap=cmap), ax=ax)
cbar.set_label('Stress '+var)
#plt.show()
def plotStress2D():
pass
if __name__ == '__main__':
pass