def createResultDB(model):
"""Create a results database for the given FE model"""
DB = FeResult()
DB.nodes = model.coords
DB.nnodes = model.coords.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
return DB
def createResultDB(model):
"""Create a results database for the given FE model"""
DB = FeResult()
DB.nodes = model.coords
DB.nnodes = model.coords.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
return DB
def createFeResult(model,results):
"""Create an FeResult from meshes and results"""
#model = Model(*mergeMeshes(meshes,fuse=False))
DB = FeResult()
DB.nodes = model.coords
DB.nnodes = model.coords.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
ndisp = results['displacement'].shape[1]
nstrs = results['stress'].shape[1]
DB.datasize['U'] = ndisp
DB.datasize['S'] = nstrs
for lc in range(1): # currently only 1 step
DB.Increment(lc,0)
DB.R['U'] = results['displacement']
DB.R['S'] = results['stress']
return DB
def createFeResult(model, results):
"""Create an FeResult from meshes and results"""
#model = Model(*mergeMeshes(meshes,fuse=False))
DB = FeResult()
DB.nodes = model.coords
DB.nnodes = model.coords.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
ndisp = results['displacement'].shape[1]
nstrs = results['stress'].shape[1]
DB.datasize['U'] = ndisp
DB.datasize['S'] = nstrs
for lc in range(1): # currently only 1 step
DB.Increment(lc, 0)
DB.R['U'] = results['displacement']
DB.R['S'] = results['stress']
return DB
#print stresn.shape
#print count.shape
#print "TOTAL",stresn,count
stresn /= count.reshape(-1,1)
#print "AVG",stresn
if verbose:
print "Averaged Nodal Stress\n"
aprint(stresn,header=['sxx','syy','sxy'],numbering=True)
if flavia:
flavia.WriteResultsHeader(res,'"Stress" "Elastic Analysis"',lc+1,'Matrix OnNodes')
flavia.WriteResults(res,stresn)
DB = FeResult()
DB.nodes = model.coords
DB.nnodes = model.coords.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
DB.datasize['S'] = 3
#print DB.elems
for lc in range(calpyModel.nloads):
DB.Increment(lc,0)
d = zeros((calpyModel.nnodes,3))
d[:,:2] = displ[:,:,lc]
DB.R['U'] = d
DB.R['S'] = stresn
postproc_menu.setDB(DB)
name = feresult_name.next()
def runCalpyAnalysis(jobname=None, verbose=False, flavia=False):
"""Create data for Calpy analysis module and run Calpy on the data.
While we could write an analysis file in the Calpy format and then
run the Calpy program on it (like we did with Abaqus), we can (and do)
take another road here: Calpy has a Python/numpy interface, allowing
us to directly present the numerical data in arrays to the analysis
module.
It is supposed that the Finite Element model has been created and
exported under the name 'fe_model'.
"""
############################
# Load the needed calpy modules
from plugins import calpy_itf
calpy_itf.check()
import calpy
calpy.options.optimize = True
from calpy import femodel, fe_util, plane
from calpy.arrayprint import aprint
############################
checkWorkdir()
if model is None:
warn()
return
if jobname is None:
# ask job name from user
res = askItems([("JobName", feresult_name.peek()), ("Verbose Mode", False)])
if res:
jobname = res["JobName"]
verbose = res["Verbose Mode"]
if not jobname:
print "No Job Name: bailing out"
return
# OK, start calpy
print "Starting the Calpy analysis module --- this might take some time"
GD.app.processEvents()
starttime = time.clock()
calpyModel = femodel.FeModel(2, "elast", "Plane_Stress")
calpyModel.nnodes = model.coords.shape[0]
calpyModel.nelems = model.celems[-1]
calpyModel.nnodel = 4
# 2D model in calpy needs 2D coordinates
coords = model.coords[:, :2]
if verbose:
fe_util.PrintNodes(coords)
# Boundary conditions
bcon = zeros((calpyModel.nnodes, 2), dtype=int32)
bcon[:, 2:6] = 1 # leave only ux and uy
for p in PDB.getProp(kind="n", attr=["bound"]):
bnd = where(p.bound)[0]
if p.set is None:
nod = arange(calpyModel.nnodes)
else:
nod = array(p.set)
for i in bnd:
bcon[p.set, i] = 1
fe_util.NumberEquations(bcon)
if verbose:
fe_util.PrintDofs(bcon, header=["ux", "uy"])
# The number of free DOFs remaining
calpyModel.ndof = bcon.max()
print "Number of DOF's: %s" % calpyModel.ndof
# We extract the materials/sections from the property database
matprops = PDB.getProp(kind="e", attr=["section"])
# E, nu, thickness, rho
mats = array(
[
[mat.young_modulus, mat.poisson_ratio, mat.thickness, 0.0] # rho was not defined in material
for mat in matprops
]
)
calpyModel.nmats = mats.shape[0]
if verbose:
fe_util.PrintMats(mats, header=["E", "nu", "thick", "rho"])
########### Find number of load cases ############
calpyModel.nloads = 1
calpyModel.PrintModelData()
ngp = 2
nzem = 3
calpyModel.banded = True
# Create element definitions:
# In calpy, each element is represented by nnod + 1 integer numbers:
# matnr, node1, node2, ....
# Also notice that Calpy numbering starts at 1, not at 0 as customary
# in pyFormex; therefore we add 1 to elems.
matnr = zeros(calpyModel.nelems, dtype=int32)
for i, mat in enumerate(matprops): # proces in same order as above!
matnr[mat.set] = i + 1
NodesGrp = []
MatnrGrp = []
PlaneGrp = []
for i, e in enumerate(model.elems):
j, k = model.celems[i : i + 2]
Plane = plane.Quad("part-%s" % i, [ngp, ngp], calpyModel)
Plane.debug = 0
PlaneGrp.append(Plane)
NodesGrp.append(e + 1)
MatnrGrp.append(matnr[j:k])
if verbose:
fe_util.PrintElements(NodesGrp[-1], MatnrGrp[-1])
# Plane.AddElements(e+1,matnr[j:k],mats,coords,bcon)
for Plane, nodenrs, matnrs in zip(PlaneGrp, NodesGrp, MatnrGrp):
Plane.AddElements(nodenrs, matnrs, mats, coords, bcon)
# Create load vectors
# Calpy allows for multiple load cases in a single analysis.
# However, our script currently puts all loads together in a single
# load case. So the processing hereafter is rather simple, especially
# since Calpy provides a function to assemble a single concentrated
# load into the load vector. We initialize the load vector to zeros
# and then add all the concentrated loads from the properties database.
# A single concentrated load consists of 6 components, corresponding
# to the 6 DOFs of a node.
#
# AssembleVector takes 3 arguments: the global vector in which to
# assemble a nodal vector (length ndof), the nodal vector values
# (length 6), and a list of indices specifying the positions of the
# nodal DOFs in the global vector.
# Beware: The function does not change the global vector, but merely
# returns the value after assembling.
# Also notice that the indexing inside the bcon array uses numpy
# convention (starting at 0), thus no adding 1 is needed!
print "Assembling Concentrated Loads"
calpyModel.nloads = 1
f = zeros((calpyModel.ndof, calpyModel.nloads), float)
for p in PDB.getProp("n", attr=["cload"]):
if p.set is None:
nodeset = range(calpyModel.nnodes)
else:
nodeset = p.set
F = [0.0, 0.0]
for i, v in p.cload:
if i in [0, 1]:
F[i] = v
for n in nodeset:
f[:, 0] = fe_util.AssembleVector(f[:, 0], F, bcon[n])
print "Assembling distributed loads"
# This is a bit more complex. See Calpy for details
# We first generate the input data in a string, then read them with the
# calpy femodel.ReadBoundaryLoads function and finally assemble them with
# plane.addBoundaryLoads. We have to this operation per element group.
# The group number is stored in the property record.
ngroups = model.ngroups()
s = [""] * ngroups
nb = [0] * ngroups
loadcase = 1
for p in PDB.getProp("e", attr=["eload"]):
xload = yload = 0.0
if p.label == "x":
xload = p.value
elif p.label == "y":
yload = p.value
# Because of the way we constructed the database, the set will
# contain only one element, but let's loop over it anyway in case
# one day we make the storage more effective
# Also, remember calpy numbers are +1 !
g = p.group
print "Group %s" % g
for e in p.set:
s[g] += "%s %s %s %s %s\n" % (e + 1, p.edge + 1, loadcase, xload, yload)
nb[g] += 1
# print s,nb
for nbi, si, nodes, matnr, Plane in zip(nb, s, NodesGrp, MatnrGrp, PlaneGrp):
if nbi > 0:
idloads, dloads = fe_util.ReadBoundaryLoads(nbi, calpyModel.ndim, si)
# print idloads,dloads
Plane.AddBoundaryLoads(f, calpyModel, idloads, dloads, nodes, matnr, coords, bcon, mats)
if verbose:
print "Calpy.Loads"
print f
############ Create global stiffness matrix ##########
s = calpyModel.ZeroStiffnessMatrix(0)
for elgrp in PlaneGrp:
s = elgrp.Assemble(s, mats, calpyModel)
# print "The complete stiffness matrix"
# print s
############ Solve the system of equations ##########
v = calpyModel.SolveSystem(s, f)
print "Calpy analysis has finished --- Runtime was %s seconds." % (time.clock() - starttime)
displ = fe_util.selectDisplacements(v, bcon)
if verbose:
print "Displacements", displ
if flavia:
flavia.WriteMeshFile(jobname, "Quadrilateral", model.nnodel, coord, nodes, matnr)
res = flavia.ResultsFile(jobname)
# compute stresses
for l in range(calpyModel.nloads):
print "Results for load case %d" % (l + 1)
print "Displacements"
aprint(displ[:, :, l], header=["x", "y"], numbering=True)
if flavia:
flavia.WriteResultsHeader(res, '"Displacement" "Elastic Analysis"', l + 1, "Vector OnNodes")
flavia.WriteResults(res, displ[:, :, l])
stresn = count = None
i = 0
for e, P in zip(model.elems, PlaneGrp):
i += 1
# P.debug = 1
stresg = P.StressGP(v[:, l], mats)
if verbose:
print "elem group %d" % i
print "GP Stress\n", stresg
strese = P.GP2Nodes(stresg)
if verbose:
print "Nodal Element Stress\n", strese
# print "Nodes",e+1
stresn, count = P.NodalAcc(e + 1, strese, nnod=calpyModel.nnodes, nodata=stresn, nodn=count)
# print stresn,count
# print stresn.shape
# print count.shape
# print "TOTAL",stresn,count
stresn /= count.reshape(-1, 1)
# print "AVG",stresn
if verbose:
print "Averaged Nodal Stress\n"
aprint(stresn, header=["sxx", "syy", "sxy"], numbering=True)
if flavia:
flavia.WriteResultsHeader(res, '"Stress" "Elastic Analysis"', l + 1, "Matrix OnNodes")
flavia.WriteResults(res, stresn)
DB = FeResult()
DB.nodes = model.coords
DB.nnodes = model.coords.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
DB.data_size["S"] = 3
# print DB.elems
for lc in range(calpyModel.nloads):
DB.Increment(lc, 0)
d = zeros((calpyModel.nnodes, 3))
d[:, :2] = displ[:, :, lc]
DB.R["U"] = d
DB.R["S"] = stresn
postproc_menu.setDB(DB)
name = feresult_name.next()
export({name: DB})
showInfo("The results have been exported as %s\nYou can now use the postproc menu to display results" % name)
def runCalpyAnalysis(jobname=None,verbose=False,flavia=False):
"""Create data for Calpy analysis module and run Calpy on the data.
While we could write an analysis file in the Calpy format and then
run the Calpy program on it (like we did with Abaqus), we can (and do)
take another road here: Calpy has a Python/numpy interface, allowing
us to directly present the numerical data in arrays to the analysis
module.
It is supposed that the Finite Element model has been created and
exported under the name 'fe_model'.
"""
############################
# Load the needed calpy modules
from plugins import calpy_itf
calpy_itf.check()
import calpy
calpy.options.optimize=True
from calpy import femodel,fe_util,plane
from calpy.arrayprint import aprint
############################
if model is None:
warn()
return
if jobname is None:
# ask job name from user
res = askItems([('JobName','FeEx'),('Verbose Mode',False)])
if res:
jobname = res['JobName']
verbose = res['Verbose Mode']
if not jobname:
print "No Job Name: bailing out"
return
# OK, start calpy
print "Starting the Calpy analysis module --- this might take some time"
GD.app.processEvents()
starttime = time.clock()
Model = femodel.FeModel(2,"elast","Plane_Stress")
Model.nnodes = model.coords.shape[0]
Model.nelems = model.celems[-1]
Model.nnodel = 4
# 2D model in calpy needs 2D coordinates
coords = model.coords[:,:2]
if verbose:
fe_util.PrintNodes(coords)
# Boundary conditions
bcon = zeros((Model.nnodes,2),dtype=int32)
bcon[:,2:6] = 1 # leave only ux and uy
for p in PDB.getProp(kind='n',attr=['bound']):
bnd = where(p.bound)[0]
if p.set is None:
nod = arange(Model.nnodes)
else:
nod = array(p.set)
for i in bnd:
bcon[p.set,i] = 1
fe_util.NumberEquations(bcon)
if verbose:
fe_util.PrintDofs(bcon,header=['ux','uy'])
# The number of free DOFs remaining
Model.ndof = bcon.max()
print "Number of DOF's: %s" % Model.ndof
# We extract the materials/sections from the property database
matprops = PDB.getProp(kind='e',attr=['section'])
# E, nu, thickness, rho
mats = array([[mat.young_modulus,
mat.poisson_ratio,
mat.thickness,
0.0, # rho was not defined in material
] for mat in matprops])
Model.nmats = mats.shape[0]
if verbose:
fe_util.PrintMats(mats,header=['E','nu','thick','rho'])
########### Find number of load cases ############
Model.nloads = 1
Model.PrintModelData()
ngp = 2
nzem = 3
Model.banded = True
# Create element definitions:
# In calpy, each element is represented by nnod + 1 integer numbers:
# matnr, node1, node2, ....
# Also notice that Calpy numbering starts at 1, not at 0 as customary
# in pyFormex; therefore we add 1 to elems.
matnr = zeros(Model.nelems,dtype=int32)
for i,mat in enumerate(matprops): # proces in same order as above!
matnr[mat.set] = i+1
PlaneGrp = []
for i,e in enumerate(model.elems):
j,k = model.celems[i:i+2]
Plane = plane.Quad("part-%s" % i,[ngp,ngp],Model)
Plane.debug = 0
fe_util.PrintElements(e+1,matnr[j:k])
Plane.AddElements(e+1,matnr[j:k],mats,coords,bcon)
PlaneGrp.append(Plane)
# Create load vectors
# Calpy allows for multiple load cases in a single analysis.
# However, our script currently puts all loads together in a single
# load case. So the processing hereafter is rather simple, especially
# since Calpy provides a function to assemble a single concentrated
# load into the load vector. We initialize the load vector to zeros
# and then add all the concentrated loads from the properties database.
# A single concentrated load consists of 6 components, corresponding
# to the 6 DOFs of a node.
#
# AssembleVector takes 3 arguments: the global vector in which to
# assemble a nodal vector (length ndof), the nodal vector values
# (length 6), and a list of indices specifying the positions of the
# nodal DOFs in the global vector.
# Beware: The function does not change the global vector, but merely
# returns the value after assembling.
# Also notice that the indexing inside the bcon array uses numpy
# convention (starting at 0), thus no adding 1 is needed!
print "Assembling Concentrated Loads"
Model.nloads = 1
f = zeros((Model.ndof,Model.nloads),float)
for p in PDB.getProp('n',attr=['cload']):
if p.set is None:
nodeset = range(Model.nnodes)
else:
nodeset = p.set
F = [0.0,0.0]
for i,v in p.cload:
if i in [0,1]:
F[i] = v
for n in nodeset:
print F
print "HALLO"
f[:,0] = fe_util.AssembleVector(f[:,0],F,bcon[n])
print "Assembling distributed loads"
# This is a bit more complex. See Calpy for details
# We first generate the input data, then read them with the
# calpy femodel.ReadBoundaryLoads function and finally
# assemble them with plane.addBoundaryLoads.
for p in PDB.getProp('n',attr=['dload']):
print p
#idloads,dloads = plane.ReadBoundaryLoads(*nb,model.ndim)
if verbose:
print "Calpy.Loads"
print f
############ Create global stiffness matrix ##########
s = Model.ZeroStiffnessMatrix(0)
for elgrp in PlaneGrp:
s = elgrp.Assemble(s,mats,Model)
#print "The complete stiffness matrix"
#print s
print f
v = Model.SolveSystem(s,f)
if verbose:
print "Displacements",v
print "Calpy analysis has finished --- Runtime was %s seconds." % (time.clock()-starttime)
displ = fe_util.selectDisplacements (v,bcon)
print displ.shape
if verbose:
print displ
if flavia:
flavia.WriteMeshFile(jobname,"Quadrilateral",model.nnodel,coord,nodes,matnr)
res=flavia.ResultsFile(jobname)
# compute stresses
for l in range(Model.nloads):
print "Results for load case %d" %(l+1)
print "Displacements"
aprint(displ[:,:,l],header=['x','y'],numbering=True)
if flavia:
flavia.WriteResultsHeader(res,'"Displacement" "Elastic Analysis"',l+1,'Vector OnNodes')
flavia.WriteResults(res,displ[:,:,l])
stresn = count = None
i = 0
for e,P in zip(model.elems,PlaneGrp):
i += 1
#P.debug = 1
stresg = P.StressGP (v[:,l],mats)
if verbose:
print "elem group %d" % i
print "GP Stress\n", stresg
strese = P.GP2Nodes(stresg)
if verbose:
print "Nodal Element Stress\n", strese
#print "Nodes",e+1
stresn,count = P.NodalAcc(e+1,strese,nnod=Model.nnodes,nodata=stresn,nodn=count)
#print stresn,count
#print stresn.shape
#print count.shape
#print "TOTAL",stresn,count
stresn /= count.reshape(-1,1)
#print "AVG",stresn
if verbose:
print "Averaged Nodal Stress\n"
aprint(stresn,header=['sxx','syy','sxy'],numbering=True)
if flavia:
flavia.WriteResultsHeader(res,'"Stress" "Elastic Analysis"',l+1,'Matrix OnNodes')
flavia.WriteResults(res,stresn)
DB = FeResult()
DB.nodes = model.coords
DB.nnodes = model.coords.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
DB.data_size['S'] = 3
#print DB.elems
for lc in range(Model.nloads):
DB.Increment(lc,0)
d = zeros((Model.nnodes,3))
d[:,:2] = displ[:,:,lc]
DB.R['U'] = d
DB.R['S'] = stresn
postproc_menu.setDB(DB)
info("You can now use the postproc menu to display results")
export({'FeResult':DB})
def runCalpyAnalysis(jobname=None,verbose=False):
"""Create data for Calpy analysis module and run Calpy on the data.
While we could write an analysis file in the Calpy format and then
run the Calpy program on it (like we did with Abaqus), we can (and do)
take another road here: Calpy has a Python/numpy interface, allowing
us to directly present the numerical data in arrays to the analysis
module.
It is supposed that the Finite Element model has been created and
exported under the name 'fe_model'.
"""
############################
# Load the needed calpy modules
from plugins import calpy_itf
calpy_itf.check()
import calpy
calpy.options.optimize=True
from calpy import femodel,fe_util,plane
############################
if model is None:
warn()
return
if jobname is None:
# ask job name from user
res = askItems([('JobName','FeEx'),('Verbose Mode',False)])
if res:
jobname = res['JobName']
verbose = res['Verbose Mode']
if not jobname:
print "No Job Name: bailing out"
return
Model = femodel.FeModel(2,"elast","Plane_Stress")
Model.nnodes = model.nodes.shape[0]
Model.nelems = model.celems[-1]
Model.nnodel = 4
# 2D model in calpy needs 2D coordinates
coords = model.nodes[:,:2]
if verbose:
fe_util.PrintNodes(coords)
# Boundary conditions
bcon = zeros((Model.nnodes,2),dtype=int32)
bcon[:,2:6] = 1 # leave only ux and uy
for p in PDB.getProp(kind='n',attr=['bound']):
bnd = where(p.bound)[0]
if p.set is None:
nod = arange(Model.nnodes)
else:
nod = array(p.set)
for i in bnd:
bcon[p.set,i] = 1
fe_util.NumberEquations(bcon)
if verbose:
fe_util.PrintDofs(bcon,header=['ux','uy'])
# The number of free DOFs remaining
Model.ndof = bcon.max()
print "Number of DOF's: %s" % Model.ndof
# We extract the materials/sections from the property database
matprops = PDB.getProp(kind='e',attr=['section'])
# E, nu, thickness, rho
mats = array([[mat.young_modulus,
mat.poisson_ratio,
mat.thickness,
0.0, # rho was not defined in material
] for mat in matprops])
Model.nmats = mats.shape[0]
if verbose:
fe_util.PrintMats(mats,header=['E','nu','thick','rho'])
########### Find number of load cases ############
Model.nloads = 1
Model.PrintModelData()
ngp = 2
nzem = 3
Model.banded = True
# Create element definitions:
# In calpy, each element is represented by nnod + 1 integer numbers:
# matnr, node1, node2, ....
# Also notice that Calpy numbering starts at 1, not at 0 as customary
# in pyFormex; therefore we add 1 to elems.
matnr = zeros(Model.nelems,dtype=int32)
for i,mat in enumerate(matprops): # proces in same order as above!
matnr[mat.set] = i+1
PlaneGrp = []
for i,e in enumerate(model.elems):
j,k = model.celems[i:i+2]
Plane = plane.Quad("part-%s" % i,[ngp,ngp],Model)
Plane.debug = 0
fe_util.PrintElements(e+1,matnr[j:k])
Plane.AddElements(e+1,matnr[j:k],mats,coords,bcon)
PlaneGrp.append(Plane)
# Create load vectors
# Calpy allows for multiple load cases in a single analysis.
# However, our script currently puts all loads together in a single
# load case. So the processing hereafter is rather simple, especially
# since Calpy provides a function to assemble a single concentrated
# load into the load vector. We initialize the load vector to zeros
# and then add all the concentrated loads from the properties database.
# A single concentrated load consists of 6 components, corresponding
# to the 6 DOFs of a node.
#
# AssembleVector takes 3 arguments: the global vector in which to
# assemble a nodal vector (length ndof), the nodal vector values
# (length 6), and a list of indices specifying the positions of the
# nodal DOFs in the global vector.
# Beware: The function does not change the global vector, but merely
# returns the value after assembling.
# Also notice that the indexing inside the bcon array uses numpy
# convention (starting at 0), thus no adding 1 is needed!
print "Assembling Concentrated Loads"
Model.nloads = 1
f = zeros((Model.ndof,Model.nloads),float)
print f.shape
for p in PDB.getProp('n',attr=['cload']):
if p.set is None:
nodeset = range(Model.nnodes)
else:
nodeset = p.set
for n in nodeset:
print p.cload[:2]
print
f[:,0] = fe_util.AssembleVector(f[:,0],p.cload[:2],bcon[n])
if verbose:
print "Calpy.Loads"
print f
# Perform analysis
# OK, that is really everything there is to it. Now just run the
# analysis, and hope for the best ;)
# Enabling the Echo will print out the data.
# The result consists of nodal displacements and stress resultants.
print "Starting the Calpy analysis module --- this might take some time"
GD.app.processEvents()
starttime = time.clock()
############ Create global stiffness matrix ##########
s = Model.ZeroStiffnessMatrix(0)
for elgrp in PlaneGrp:
s = elgrp.Assemble(s,mats,Model)
#print "The complete stiffness matrix"
#print s
print f
v = Model.SolveSystem(s,f)
print "Displacements",v
print "Calpy analysis has finished --- Runtime was %s seconds." % (time.clock()-starttime)
displ = fe_util.selectDisplacements (v,bcon)
print displ.shape
print displ
DB = FeResult()
DB.nodes = model.nodes
DB.nnodes = model.nodes.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
print DB.elems
for lc in range(Model.nloads):
DB.Increment(lc,0)
d = zeros((Model.nnodes,3))
d[:,:2] = displ[:,:,lc]
DB.R['U'] = d
postproc_menu.setDB(DB)
info("You can now use the postproc menu to display results")
export({'FeResult':DB})
def runCalpyAnalysis(jobname=None,verbose=False,flavia=False):
"""Create data for Calpy analysis module and run Calpy on the data.
While we could write an analysis file in the Calpy format and then
run the Calpy program on it (like we did with Abaqus), we can (and do)
take another road here: Calpy has a Python/numpy interface, allowing
us to directly present the numerical data in arrays to the analysis
module.
It is supposed that the Finite Element model has been created and
exported under the name 'fe_model'.
"""
############################
# Load the needed calpy modules
from plugins import calpy_itf
calpy_itf.check()
## # Load development version
#import sys
#sys.path.insert(0,'/home/bene/prj/calpy')
#print sys.path
import calpy
reload(calpy)
print(calpy.__path__)
calpy.options.optimize=True
from calpy import femodel,fe_util,plane
from calpy.arrayprint import aprint
############################
checkWorkdir()
if model is None:
warn()
return
if jobname is None:
# ask job name from user
res = askItems([('JobName',feresult_name.peek()),('Verbose Mode',False)])
if res:
jobname = res['JobName']
verbose = res['Verbose Mode']
if not jobname:
print("No Job Name: bailing out")
return
# OK, start calpy
print("Starting the Calpy analysis module --- this might take some time")
pf.app.processEvents()
starttime = time.clock()
calpyModel = femodel.FeModel(2,"elast","Plane_Stress")
calpyModel.nnodes = model.coords.shape[0]
calpyModel.nelems = model.celems[-1]
print([ e.shape for e in model.elems ])
nplex = [ e.shape[1] for e in model.elems ]
if min(nplex) != max(nplex):
warning("All parts should have same element type")
return
calpyModel.nnodel = nplex[0]
# 2D model in calpy needs 2D coordinates
coords = model.coords[:,:2]
if verbose:
fe_util.PrintNodes(coords)
# Boundary conditions
bcon = zeros((calpyModel.nnodes,2),dtype=int32)
bcon[:,2:6] = 1 # leave only ux and uy
for p in PDB.getProp(kind='n',attr=['bound']):
bnd = where(p.bound)[0]
if p.set is None:
nod = arange(calpyModel.nnodes)
else:
nod = array(p.set)
for i in bnd:
bcon[p.set,i] = 1
fe_util.NumberEquations(bcon)
if verbose:
fe_util.PrintDofs(bcon,header=['ux','uy'])
# The number of free DOFs remaining
calpyModel.ndof = bcon.max()
print("Number of DOF's: %s" % calpyModel.ndof)
# We extract the materials/sections from the property database
secprops = PDB.getProp(kind='e',attr=['section'])
# E, nu, thickness, rho
mats = array([[mat.young_modulus,
mat.poisson_ratio,
mat.thickness,
0.0, # rho was not defined in material
] for mat in secprops])
calpyModel.nmats = mats.shape[0]
if verbose:
fe_util.PrintMats(mats,header=['E','nu','thick','rho'])
########### Find number of load cases ############
calpyModel.nloads = nsteps
calpyModel.PrintModelData()
ngp = 2
nzem = 3
calpyModel.banded = True
# Create element definitions:
# In calpy, each element is represented by nnod + 1 integer numbers:
# matnr, node1, node2, ....
# Also notice that Calpy numbering starts at 1, not at 0 as customary
# in pyFormex; therefore we add 1 to elems.
matnr = zeros(calpyModel.nelems,dtype=int32)
for i,mat in enumerate(secprops): # proces in same order as above!
matnr[mat.set] = i+1
NodesGrp = []
MatnrGrp = []
PlaneGrp = []
for i,e in enumerate(model.elems):
j,k = model.celems[i:i+2]
Plane = plane.Quad("part-%s" % i,[ngp,ngp],calpyModel)
Plane.debug = 0
PlaneGrp.append(Plane)
NodesGrp.append(e+1)
MatnrGrp.append(matnr[j:k])
if verbose:
fe_util.PrintElements(NodesGrp[-1],MatnrGrp[-1])
#Plane.AddElements(e+1,matnr[j:k],mats,coords,bcon)
for Plane,nodenrs,matnrs in zip(PlaneGrp,NodesGrp,MatnrGrp):
Plane.AddElements(nodenrs,matnrs,mats,coords,bcon)
# Create load vectors
# Calpy allows for multiple load cases in a single analysis.
# However, our script currently puts all loads together in a single
# load case. So the processing hereafter is rather simple, especially
# since Calpy provides a function to assemble a single concentrated
# load into the load vector. We initialize the load vector to zeros
# and then add all the concentrated loads from the properties database.
# A single concentrated load consists of 6 components, corresponding
# to the 6 DOFs of a node.
#
# AssembleVector takes 3 arguments: the global vector in which to
# assemble a nodal vector (length ndof), the nodal vector values
# (length 6), and a list of indices specifying the positions of the
# nodal DOFs in the global vector.
# Beware: The function does not change the global vector, but merely
# returns the value after assembling.
# Also notice that the indexing inside the bcon array uses numpy
# convention (starting at 0), thus no adding 1 is needed!
print("Assembling Concentrated Loads")
f = zeros((calpyModel.ndof,calpyModel.nloads),float)
for p in PDB.getProp('n',attr=['cload']):
lc = loadcaseFromTag(p)-1 # calpy loadcases start from 0
if p.set is None:
nodeset = range(calpyModel.nnodes)
else:
nodeset = p.set
F = [0.0,0.0]
for i,v in p.cload:
if i in [0,1]:
F[i] = v
for n in nodeset:
f[:,lc] = fe_util.AssembleVector(f[:,lc],F,bcon[n])
print("Assembling distributed loads")
# This is a bit more complex. See Calpy for details
# We first generate the input data in a string, then read them with the
# calpy femodel.ReadBoundaryLoads function and finally assemble them with
# plane.addBoundaryLoads. We have to do this operation per element group.
# The group number is stored in the property record.
ngroups = model.ngroups()
s = [ "" ] * ngroups
nb = [ 0 ] * ngroups
for p in PDB.getProp('e',attr=['eload']):
lc = loadcaseFromTag(p)-1 # calpy loadcases start from 0
xload = yload = 0.
if p.label == 'x':
xload = p.value
elif p.label == 'y':
yload = p.value
# Because of the way we constructed the database, the set will
# contain only one element, but let's loop over it anyway in case
# one day we make the storage more effective
# Also, remember calpy numbers are +1 !
g = p.group
print("Group %s" % g)
for e in p.set:
s[g] += "%s %s %s %s %s\n" % (e+1,p.edge+1,lc,xload,yload)
nb[g] += 1
#print s,nb
for nbi,si,nodes,matnr,Plane in zip(nb,s,NodesGrp,MatnrGrp,PlaneGrp):
if nbi > 0:
idloads,dloads = fe_util.ReadBoundaryLoads(nbi,calpyModel.ndim,si)
#print idloads,dloads
Plane.AddBoundaryLoads(f,calpyModel,idloads,dloads,nodes,matnr,coords,bcon,mats)
if verbose:
print("Calpy.Loads")
print(f)
############ Create global stiffness matrix ##########
s = calpyModel.ZeroStiffnessMatrix(0)
for elgrp in PlaneGrp:
s = elgrp.Assemble(s,mats,calpyModel)
# print "The complete stiffness matrix"
# print s
############ Solve the system of equations ##########
v = calpyModel.SolveSystem(s,f)
print("Calpy analysis has finished --- Runtime was %s seconds." % (time.clock()-starttime))
displ = fe_util.selectDisplacements (v,bcon)
if verbose:
print("Displacements",displ)
if flavia:
flavia.WriteMeshFile(jobname,"Quadrilateral",model.nnodel,coord,nodes,matnr)
res=flavia.ResultsFile(jobname)
# compute stresses
for lc in range(calpyModel.nloads):
print("Results for load case %d" %(lc+1))
print("Displacements")
aprint(displ[:,:,lc],header=['x','y'],numbering=True)
if flavia:
flavia.WriteResultsHeader(res,'"Displacement" "Elastic Analysis"',lc+1,'Vector OnNodes')
flavia.WriteResults(res,displ[:,:,lc])
stresn = count = None
i = 0
for e,P in zip(model.elems,PlaneGrp):
i += 1
#P.debug = 1
stresg = P.StressGP (v[:,lc],mats)
if verbose:
print("elem group %d" % i)
print("GP Stress\n", stresg)
strese = P.GP2Nodes(stresg)
if verbose:
print("Nodal Element Stress\n", strese)
#print "Nodes",e+1
stresn,count = P.NodalAcc(e+1,strese,nnod=calpyModel.nnodes,nodata=stresn,nodn=count)
#print stresn,count
#print stresn.shape
#print count.shape
#print "TOTAL",stresn,count
stresn /= count.reshape(-1,1)
#print "AVG",stresn
if verbose:
print("Averaged Nodal Stress\n")
aprint(stresn,header=['sxx','syy','sxy'],numbering=True)
if flavia:
flavia.WriteResultsHeader(res,'"Stress" "Elastic Analysis"',lc+1,'Matrix OnNodes')
flavia.WriteResults(res,stresn)
DB = FeResult()
DB.nodes = model.coords
DB.nnodes = model.coords.shape[0]
DB.nodid = arange(DB.nnodes)
DB.elems = dict(enumerate(model.elems))
DB.nelems = model.celems[-1]
DB.Finalize()
DB.datasize['S'] = 3
#print DB.elems
for lc in range(calpyModel.nloads):
DB.Increment(lc,0)
d = zeros((calpyModel.nnodes,3))
d[:,:2] = displ[:,:,lc]
DB.R['U'] = d
DB.R['S'] = stresn
postproc_menu.setDB(DB)
name = feresult_name.next()
export({name:DB})
print("STEPS:",DB.getSteps())
print("INCS:",DB.getIncs(DB.getSteps()[0]))
if showInfo("The results have been exported as %s\nYou can now use the postproc menu to display results" % name,actions=['Cancel','OK']) == 'OK':
postproc_menu.selection.set(name)
postproc_menu.selectDB(DB)
postproc_menu.open_dialog()