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main.py
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# -*- coding: utf-8 -*-
"""
Created on Mon Feb 20 09:45:13 2017
@author: Roeland
"""
import inputs
Inputs = inputs.Inputs()
import math
import GeometryProcessing as GP
import ForcesProcessing as FP
import StressProcessing as SP
import matplotlib.pyplot as plt
import numpy as np
#import testboxslice as TS
from mpl_toolkits.mplot3d import Axes3D
from readfile import readfile
from writefile import writefile
nSlices = 288
nFloor = 50
nBooms = Inputs.ns
zlist = []
###Discretization
Slices = []
for i in xrange(nSlices):
z=i*Inputs.L/nSlices
Slices.append(GP.Slice(z))
zlist.append(z)
z=Inputs.Lf1
Slices.append(GP.Slice(z))
zlist.append(z)
z=Inputs.Lf1+Inputs.Lf2
Slices.append(GP.Slice(z))
zlist.append(z)
z=34.-14.57805078
Slices.append(GP.Slice(z))
zlist.append(z)
"""
Slices.append(TS.TestSlice())
for i in xrange(len(Slices)):
Slices[i].calculateIxx()
Slices[i].calculateIyy()"""
# Boom Discretization happens in the constructor of the Slice class
#for j in xrange(len(Slices[1].booms)):
# print Slices[1].booms[j].x
###End of Discretization
Astringer = Inputs.tst*(Inputs.wst+Inputs.hst) #thinwalled assumption
LengthBetween2Booms = Inputs.R * 10./180.*math.pi
# Floor inertia calculations
Floorwidth = 2*math.sqrt(Inputs.R**2-(Inputs.R-Inputs.hf)**2)
Asection = 2*math.pi*Inputs.R*Inputs.tsSkin+(36*Astringer)+Floorwidth*Inputs.tsFloor
Afloor = Floorwidth*Inputs.tsFloor
yBar = (-(Inputs.R-Inputs.hf)*Inputs.tsFloor*Floorwidth)/(2*math.pi*Inputs.R*Inputs.tsSkin+Inputs.tsFloor*Floorwidth+36*Astringer)
IxxFloor = 1./12.*Floorwidth*Inputs.tsFloor**3+Inputs.tsFloor*Floorwidth*(Inputs.R-Inputs.hf+yBar)**2
IyyFloor = 1./12.*Inputs.tsFloor*Floorwidth**3
#print "yBar = " + str(yBar) + " IxxFloor = " + str(IxxFloor) + " IyyFloor = " + str(IyyFloor)
yBarRing = (2*math.pi*Inputs.R*Inputs.tsSkin)/(2*math.pi*Inputs.R*Inputs.tsSkin+Inputs.tsFloor*Floorwidth+36*Astringer)
IyyRing = math.pi*Inputs.R**3*Inputs.tsSkin
IxxRing = math.pi*Inputs.R**3*Inputs.tsSkin + 2*math.pi*Inputs.tsSkin*Inputs.R*(yBar)**2
#print "yBar = " + str(yBarRing) + " IxxRing = " + str(IxxRing) + " IyyRing = " + str(IyyRing)
#Normal stress
for i in xrange(len(Slices)):
Mx = FP.Mx(Slices[i].z)
My = FP.My(Slices[i].z)
Iyy = 0.1535701345
Ixx = 0.051422806
#Ixx = 0.144951214222284
#Iyy = 0.262243038
Ixy = 0.0
#if i == 16:
#for j in xrange(len(Slices[i].booms)):
#print ((My*Ixx-Mx*Ixy)/(Ixx*Iyy-Ixy**2))*Slices[i].booms[j].x, ((Mx*Iyy-My*Ixy)/(Ixx*Iyy-Ixy**2))*(Slices[i].booms[j].y-yBar)
for j in xrange(len(Slices[i].booms)):
Slices[i].booms[j].sigma = SP.DirectStress(Mx,My,Ixx,Iyy,Ixy,Slices[i].booms[j].x,Slices[i].booms[j].y)
#Floor stress (floor is 'disretized' into n sections of a thick slab, each carrying individual normal stress
flx = []
fly = []
Slices[i].FloorSigmaX=[]
Slices[i].FloorSigmaY=[]
floorsection = Inputs.Floorwidth/nFloor
for k in xrange(nFloor):
Mx = FP.Mx(Slices[i].z)
My = FP.My(Slices[i].z)
IxyFloor = 0.
FloorX = ((-Inputs.Floorwidth/2+floorsection*k)+floorsection/2)
FloorY = (-(Inputs.R-Inputs.hf+yBar))
floorStress = SP.DirectStressSeparate(Mx,My,Ixx,Iyy,Ixy,FloorX,FloorY)
Slices[i].FloorSigmaX.append(floorStress[0])
Slices[i].FloorSigmaY.append(floorStress[1])
flx.append(FloorX)
fly.append(FloorY)
#DISCRETIZATION
#Start of Feedback Loop
change = 0.0
iterationnumber = 0
while change<0.0001:
print "iteration" + str(iterationnumber)
iterationnumber+=1
# Boom Area Calculation
for i in xrange(len(Slices)):
for j in xrange(len(Slices[i].booms)):
Slices[i].booms[j].calculateBoomArea(Astringer,Slices[i].booms[j-1],Slices[i].booms[(j+1)%len(Slices[i].booms)],LengthBetween2Booms)
#print Slices[i].booms[j].previousBoomArea - Slices[i].booms[j].boomArea
if abs( Slices[i].booms[j].previousBoomArea - Slices[i].booms[j].boomArea)>change:
change = abs(Slices[i].booms[j].previousBoomArea - Slices[i].booms[j].boomArea)
print change
Slices[i].booms[j].previousBoomArea = Slices[i].booms[j].boomArea
for i in xrange(len(Slices)):
Slices[i].calculateXBar()
Slices[i].calculateYBar()
Slices[i].calculateIxx(IxxFloor)
Slices[i].calculateIyy(IyyFloor)
Slices[i].calculateIxy()
#print Slices[i].Ixy
for i in xrange(len(Slices)):
Mx = FP.Mx(Slices[i].z)
My = FP.My(Slices[i].z)
Ixx = Slices[i].Ixx
Iyy = Slices[i].Iyy
Ixy = Slices[i].Ixy
for j in xrange(len(Slices[i].booms)):
Slices[i].booms[j].sigma = SP.DirectStress(Mx,My,Ixx,Iyy,Ixy,Slices[i].booms[j].x,(Slices[i].booms[j].y-Slices[i].yBar))
Slices[i].booms[j].sigmax = SP.DirectStressSeparate(Mx,My,Ixx,Iyy,Ixy,Slices[i].booms[j].x,(Slices[i].booms[j].y-Slices[i].yBar))[0]
Slices[i].booms[j].sigmay = SP.DirectStressSeparate(Mx,My,Ixx,Iyy,Ixy,Slices[i].booms[j].x,(Slices[i].booms[j].y-Slices[i].yBar))[1]
#End of Feedback Loop
#Shear Flow
for i in xrange(len(Slices)):
Sx = FP.Vx(Slices[i].z)
Sy = FP.Vy(Slices[i].z)
Mz = FP.Mz(Slices[i].z, yBar)
SP.FloorShear(nFloor, Slices[i], 0., Sy)
#qbi = SP.OpenSectionShearFlow(yBar,Sx,Sy,Slices[i])
#qs0i = SP.ClosedSectionShearFlow(Floorwidth,Slices[i],LengthBetween2Booms)
#if i == 15:
#print
#print Slices[i].qf
SP.OpenSectionShearFlow(0.,Sy,Slices[i], yBar, nFloor)
#if i == 15:
#print
#print Slices[i].qf
#TS.OpenSectionShearFlow(Sx,Sy,Slices[i])
#SP.ClosedSectionShearFlow(nFloor,LengthBetween2Booms,Slices[i])
#SP.TorqueShearFlow(Slices[i],LengthBetween2Booms,Mz)
SP.errorSHEAR(Slices[i],LengthBetween2Booms,Mz)
###Shear validation
qbdy = []
qbdx = []
for t in xrange(len(Slices)):
qb =[]
qy = []
qx = []
qfloor = Slices[t].qf
for j in xrange(len(Slices[t].booms)):
qb.append(Slices[t].booms[j].qb)
qy.append(Slices[t].booms[j].qb * abs((Slices[t].booms[j].y)-Slices[t].booms[j-1].y))
qx.append(Slices[t].booms[j].qb * abs((Slices[t].booms[j].x)-Slices[t].booms[j-1].x))
qbdy.append(sum(qy)+sum(qfloor)*Inputs.tsFloor)
qbdx.append(sum(qx)+sum(qfloor)*Inputs.tsFloor)
"""for i in range(len(qb)):
if i <=19:
if qb[i] - qb[i-1] < 0:
qb[i] = -1 * qb[i]
"""
"""
qs0 =[]
for j in xrange(len(Slices[t].booms)):
if j<=19 or j>=35:
qs0.append(Slices[t].booms[j].qb+Slices[t].qs0I+Slices[t].qT1)
if j <= 34 and j > 19:
qs0.append(Slices[t].booms[j].qb+Slices[t].qs0II+Slices[t].qT2)
"""
#print Slices[t].qs0I, Slices[t].qs0II
print "qb*dy:" + str(sum(qy)+sum(qfloor)*Inputs.tsFloor)
print "qb*dx:" + str(sum(qx)+sum(qfloor)*Inputs.Floorwidth)
print "____"
print "Vx(z):" + str(FP.Vx(Slices[t].z))
print "Vy(z):" + str(FP.Vy(Slices[t].z))
print "____"
print "x diff.:" + str(FP.Vx(Slices[t].z) - (sum(qx)+sum(qfloor)*Inputs.Floorwidth))
print "y diff.:" + str(FP.Vy(Slices[t].z) - (sum(qy)+sum(qfloor)*Inputs.tsFloor))
#print Slices[t].qf[-1]*Inputs.Floorwidth
#for i in xrange(len(Slices)):
# Mz = FP.Mz(Slices[i].z, yBar) - Slices[i].qs0I/2*Inputs.AreaI - Slices[i].qs0II/2*Inputs.AreaII
# SP.TorqueShearFlow(Slices[i],LengthBetween2Booms,Mz)
"""
print Slices[t].qT1, Slices[t].qT2
print Slices[t].qs0I*2*Inputs.AreaI, Slices[t].qs0II*2*Inputs.AreaII
print Slices[t].qT1*2*Inputs.AreaI + Slices[t].qT2*2*Inputs.AreaII + Slices[t].qs0I*2*Inputs.AreaI + Slices[t].qs0II*2*Inputs.AreaII
print FP.Mz(Slices[t].z, 0.)
"""
##ShearStress at every location
MaxShearStress = 0.
MaxSigmaX = 0.
MaxSigmaY = 0.
for i in xrange(len(Slices)):
for j in xrange(len(Slices[i].booms)):
Slices[i].booms[j].ShearStress = SP.ShearStress(Slices[i].booms[j].qs,Inputs.tsSkin)
if Slices[i].booms[j].ShearStress>MaxShearStress:
MaxShearStress = Slices[i].booms[j].ShearStress
if Slices[i].booms[j].sigmax>MaxSigmaX:
MaxSigmaX = Slices[i].booms[j].sigmax
if Slices[i].booms[j].sigmay>MaxSigmaY:
MaxSigmaY = Slices[i].booms[j].sigmay
print "i",i,"j",j
Slices[i].ShearStressFloor = []
for k in xrange(len(Slices[i].qf)):
Slices[i].ShearStressFloor.append(SP.ShearStress(Slices[i].qf[k],Inputs.tsFloor))
if Slices[i].FloorSigmaX[k]>MaxSigmaX:
MaxSigmaX = Slices[i].FloorSigmaX[k]
if Slices[i].FloorSigmaY[k]>MaxSigmaY:
MaxSigmaY = Slices[i].FloorSigmaY[k]
##Total Stress at every location
MinStress = 100000000000.
MaxStress = 0.0
MaxStressLocation = (0.,0.,0.)
for i in xrange(len(Slices)):
for j in xrange(len(Slices[i].booms)):
Slices[i].booms[j].VonMises = SP.VonMises(Slices[i].booms[j].sigmax, Slices[i].booms[j].sigmay, Slices[i].booms[j].ShearStress)
if Slices[i].booms[j].VonMises>MaxStress:
MaxStress = Slices[i].booms[j].VonMises
MaxStressLocation = (Slices[i].booms[j].x,Slices[i].booms[j].y,Slices[i].booms[j].z)
if Slices[i].booms[j].VonMises<MinStress:
MinStress = Slices[i].booms[j].VonMises
Slices[i].VonMisesFloor = []
for k in xrange(len(Slices[i].qf)):
VonMisesFloor = SP.VonMises(Slices[i].FloorSigmaX[k], Slices[i].FloorSigmaY[k],Slices[i].ShearStressFloor[k])
Slices[i].VonMisesFloor.append(VonMisesFloor)
#print Slices[i].VonMisesFloor
if VonMisesFloor>MaxStress:
MaxStress = VonMisesFloor
MaxStressLocation = (flx[k],Inputs.hf-Inputs.R,Slices[i].z)
#print "last change in floor of maxstress at ",i,j
if Slices[i].booms[j].VonMises<MinStress:
MinStress = Slices[i].booms[j].VonMises
### Collecting Results
MaxSF1 = 0.
MaxSF2 = 0.
print "Minimum Stress: ",MinStress
for i in range(len(Slices)):
if Slices[i].z == Inputs.Lf1:
for j in range(len (Slices[i].booms)):
if abs(Slices[i].booms[j].qs)> abs(MaxSF1):
MaxSF1 = Slices[i].booms[j].qs
if Slices[i].z == Inputs.Lf1+Inputs.Lf2:
for j in range(len (Slices[i].booms)):
if abs(Slices[i].booms[j].qs)> abs(MaxSF2):
MaxSF2 = Slices[i].booms[j].qs
#MaxStress = 0.
#MaxStressLocation = (0.,0.,0.)
print "Maximum Shear Flow in Frame 1 at 5 m: " + str(MaxSF1)
print "Maximum Shear Flow in Frame 2 at 14.6 m: " + str(MaxSF2)
print "Maximum Stress: " + str(MaxStress)
print "Maximum Stress Location: " + str(MaxStressLocation)
### End of Collecting Results
#VALIDATION VERIFICATION DATA#
xdot=[]
ydot = []
B = []
z = 0
sigmatest =[]
#for z in range(nSlices):
for j in range(36):
sigmatest.append(Slices[z].booms[j].sigma)
B.append(abs((Slices[z].booms[j].boomArea))*10**5)
xdot.append(Slices[z].booms[j].x)
ydot.append(Slices[z].booms[j].y-yBar)
"""
Bsum = []
AreaDiff = []
for n in xrange(nSlices):
Bsum.append(sum(B[n:n+36])+Afloor)
n = n + 35
for m in xrange(len(Bsum)):
AreaDiff.append(Bsum[m]-Asection)
"""
#plot section
index = np.arange(0.,36.,1.)
fig = plt.figure()
ax = fig.add_subplot(111)
for i,j,k in zip(xdot,ydot,qb):
ax.annotate(str(k),xy=(i,j+0.1), color='red', size = '10')
#for i,j,k in zip(xdot,ydot,qs0):
# ax.annotate(str(k),xy=(i+0.5,j+0.1), color='g', size = '10')
for i,j,k in zip(xdot,ydot,index):
ax.annotate(str(k),xy=(i+0.03,j-0.075), color='b', size = '7')
for i,j,k in zip(flx, fly, qfloor):
ax.annotate(str(k),xy=(i,j+0.1), color='red', size = '10')
plt.scatter(xdot, ydot,s = B)
plt.scatter(flx, fly)
plt.show()
fig = plt.figure()
zrange = range(len(Slices))
ax = fig.add_subplot(211)
plt.plot(zrange,qbdx)
Vxplot = []
for z in zrange:
Vxplot.append(FP.Vx(Slices[z].z))
plt.plot(zrange,Vxplot)
plt.title = "Vx vs qbdx"
ax = fig.add_subplot(212)
plt.plot(zrange,qbdy)
Vyplot = []
for z in zrange:
Vyplot.append(FP.Vy(Slices[z].z))
plt.plot(zrange,Vyplot)
plt.title = "Vy vs qbdy"
plt.show()
fig = plt.figure()
qs0Iplot=[]
qs0IIplot=[]
qbsumplot=[]
Mzplot = []
for z in zrange:
qs0Iplot.append(Slices[z].qs0I)
qs0IIplot.append(Slices[z].qs0II)
Mz=FP.Mz(z*Inputs.L/len(zrange),yBar)
Mzplot.append(Mz)
qbsum = 0.
for j in xrange(len(Slices[z].booms)):
qbsum +=Slices[z].booms[j].qb
qbsumplot.append(qbsum)
plt.plot(zrange,qbsumplot)
plt.plot(zrange,qs0Iplot)
plt.plot(zrange,qs0IIplot)
plt.plot(zrange,Mzplot)
plt.show()
xs = []
ys = []
zs = []
c = []
cShear = []
cSigmax = []
cSigmay = []
for i in xrange (len(Slices)):
for j in xrange (len(Slices[i].booms)):
if j==340:
a=1
else:
xs.append(Slices[i].booms[j].x)
ys.append(Slices[i].booms[j].y)
zs.append(Slices[i].booms[j].z)
c.append(Slices[i].booms[j].VonMises/MaxStress)
cShear.append(abs(Slices[i].booms[j].ShearStress)/MaxShearStress)
cSigmax.append(Slices[i].booms[j].sigmax/MaxSigmaX)
cSigmay.append(Slices[i].booms[j].sigmay/MaxSigmaY)
for k in xrange(len(Slices[i].qf)):
xs.append(flx[k]+5)
ys.append(Inputs.hf-Inputs.R)
zs.append(Slices[i].z)
c.append(Slices[i].VonMisesFloor[k]/MaxStress)
cShear.append(abs(Slices[i].ShearStressFloor[k])/MaxShearStress)
cSigmax.append(Slices[i].FloorSigmaX[k]/MaxSigmaX)
cSigmay.append(Slices[i].FloorSigmaY[k]/MaxSigmaY)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter(xs,zs,ys,c=c,cmap = plt.cm.get_cmap('jet'),marker = "d",edgecolors = 'face')
ax.set_xlabel('x Label')
ax.set_ylabel('z Label')
ax.set_zlabel('y Label')
plt.show()
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter(xs,zs,ys,c=cShear,cmap = plt.cm.get_cmap('jet'),marker = "d",edgecolors = 'face')
ax.set_xlabel('x Label')
ax.set_ylabel('z Label')
ax.set_zlabel('y Label')
plt.show()
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter(xs,zs,ys,c=cSigmax,cmap = plt.cm.get_cmap('jet'),marker = "d",edgecolors = 'face')
ax.set_xlabel('x Label')
ax.set_ylabel('z Label')
ax.set_zlabel('y Label')
plt.show()
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter(xs,zs,ys,c=cSigmay,cmap = plt.cm.get_cmap('jet'),marker = "d",edgecolors = 'face')
ax.set_xlabel('x Label')
ax.set_ylabel('z Label')
ax.set_zlabel('y Label')
plt.show()
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
xsfile,ysfile,zsfile,cfile = readfile("A320_I.txt")
#writefile("A320_I_sorted.txt",xsfile,ysfile,zsfile,cfile)
for vm in cfile:
vm=vm/max(cfile)
ax.scatter(xsfile,zsfile,ysfile,c=cfile,cmap = plt.cm.get_cmap('jet'),marker = "d",edgecolors = 'face')
ax.set_xlabel('x Label')
ax.set_ylabel('z Label')
ax.set_zlabel('y Label')
plt.show()
ax.scatter(xs,zs,ys,c=c,cmap = plt.cm.get_cmap('jet'),marker = "d",edgecolors = 'face')
ax.set_xlabel('x Label')
ax.set_ylabel('z Label')
ax.set_zlabel('y Label')
plt.show()