for iel in range(elnods.shape[0]): eldofs[iel, ::2] = elnods[iel, :] * 2 + 1 # The x dofs eldofs[iel, 1::2] = elnods[iel, :] * 2 + 2 # The y dofs # Draw the mesh. if not bDrawMesh: cfv.drawMesh(coords=coords, edof=eldofs, dofsPerNode=2, elType=elTypeInfo[0], filled=True, title=elTypeInfo[1]) cfv.showAndWait() # Extract element coordinates ex, ey = cfc.coordxtr(eldofs, coords, dofs) # Set fixed boundary condition on left side, i.e. nodes 0-nNody bc = np.array(np.zeros(numNodesY * 2), 'i') idof = 1 for i in range(numNodesY): idx = i * 2 bc[idx] = idof bc[idx + 1] = idof + 1 idof += 2 # Assemble stiffness matrix K = np.zeros((ndofs, ndofs)) R = np.zeros((ndofs, 1))
dofsPerNode = 2 # Create mesh meshGen = cfm.GmshMeshGenerator(geometry=g) meshGen.elType = elType meshGen.dofsPerNode = dofsPerNode coords, edof, dofs, bdofs, elementmarkers = meshGen.create() # ---- Solve problem -------------------------------------------------------- cfu.info("Assembling system matrix...") nDofs = np.size(dofs) ex, ey = cfc.coordxtr(edof, coords, dofs) K = np.zeros([nDofs, nDofs]) for eltopo, elx, ely in zip(edof, ex, ey): Ke = cfc.planqe(elx, ely, ep, D) cfc.assem(eltopo, K, Ke) cfu.info("Solving equation system...") f = np.zeros([nDofs, 1]) bc = np.array([], 'i') bcVal = np.array([], 'i') bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 5, 0.0, 0)
# ----- Element properties, topology and coordinates ----- ep = np.array([1]) D = np.array([[1, 0], [0, 1]]) Edof = np.array([ [1, 2, 5, 4], [2, 3, 6, 5], [4, 5, 8, 7], [5, 6, 9, 8], [7, 8, 11, 10], [8, 9, 12, 11], [10, 11, 14, 13], [11, 12, 15, 14], ]) Ex, Ey = cfc.coordxtr(Edof, Coord, Dof) # ----- Generate FE-mesh ----- #clf; eldraw2(Ex,Ey,[1 3 0],Edof(:,1)); #disp('PRESS ENTER TO CONTINUE'); pause; clf; # ----- Create and assemble element matrices ----- for i in range(8): Ke = cfc.flw2qe(Ex[i], Ey[i], ep, D) K = cfc.assem(Edof[i], K, Ke) # ----- Solve equation system ----- bcPrescr = np.array([1, 2, 3, 4, 7, 10, 13, 14, 15])
meshGen.elSizeFactor = elSizeFactor meshGen.elType = elType meshGen.dofsPerNode = dofsPerNode # Mesh the geometry: # The first four return values are the same as those that trimesh2d() returns. # value elementmarkers is a list of markers, and is used for finding the # marker of a given element (index). coords, edof, dofs, bdofs, elementmarkers = meshGen.create() # ---- Solve problem -------------------------------------------------------- nDofs = np.size(dofs) K = lil_matrix((nDofs,nDofs)) ex, ey = cfc.coordxtr(edof, coords, dofs) print("Assembling K... ("+str(nDofs)+")") for eltopo, elx, ely, elMarker in zip(edof, ex, ey, elementmarkers): if elType == 2: Ke = cfc.plante(elx, ely, elprop[elMarker][0], elprop[elMarker][1]) else: Ke = cfc.planqe(elx, ely, elprop[elMarker][0], elprop[elMarker][1]) cfc.assem(eltopo, K, Ke) print("Applying bc and loads...") bc = np.array([],'i')
def execute(self): # ------ Transfer model variables to local variables self.inputData.updateparams() version = self.inputData.version units = self.inputData.units v = self.inputData.v ep = self.inputData.ep E = self.inputData.E mp = self.inputData.mp fp = self.inputData.fp bp = self.inputData.bp ep[1] = ep[1] * U2SI[units][0] E = E * U2SI[units][2] for i in range(len(fp[0])): fp[1][i] = fp[1][i] * U2SI[units][1] for i in range(len(bp[0])): bp[1][i] = bp[1][i] * U2SI[units][0] # Get most updated dxf dimensions and import model geometry to calfem format self.inputData.dxf.readDXF(self.inputData.dxf_filename) for dim in self.inputData.d: ("Adjusting Dimension {0} with val {1}".format( dim[0], dim[1] * U2SI[units][0])) self.inputData.dxf.adjustDimension(dim[0], dim[1] * U2SI[units][0]) self.inputData.dxf.adjustDimension( self.inputData.c['aName'], self.inputData.c['a'] * U2SI[units][0]) self.inputData.dxf.adjustDimension( self.inputData.c['bName'], self.inputData.c['b'] * U2SI[units][0]) dxf = self.inputData.dxf if self.inputData.refineMesh: geometry, curve_dict = dxf.convertToGeometry(max_el_size=mp[2]) else: geometry, curve_dict = dxf.convertToGeometry() # Generate the mesh meshGen = cfm.GmshMeshGenerator(geometry) meshGen.elSizeFactor = mp[2] # Max Area for elements meshGen.elType = mp[0] meshGen.dofsPerNode = mp[1] meshGen.returnBoundaryElements = True coords, edof, dofs, bdofs, elementmarkers, boundaryElements = meshGen.create( ) # Add the force loads and boundary conditions bc = np.array([], int) bcVal = np.array([], int) nDofs = np.size(dofs) f = np.zeros([nDofs, 1]) for i in range(len(bp[0])): bc, bcVal = cfu.applybc(bdofs, bc, bcVal, dxf.markers[bp[0][i]], bp[1][i]) for i in range(len(fp[0])): xforce = fp[1][i] * np.cos(np.radians(fp[2][i])) yforce = fp[1][i] * np.sin(np.radians(fp[2][i])) cfu.applyforce(bdofs, f, dxf.markers[fp[0][i]], xforce, dimension=1) cfu.applyforce(bdofs, f, dxf.markers[fp[0][i]], yforce, dimension=2) # ------ Calculate the solution print("") print("Solving the equation system...") # Define the elements coordinates ex, ey = cfc.coordxtr(edof, coords, dofs) # Define the D and K matrices D = (E / (1 - v**2)) * np.matrix([[1, v, 0], [v, 1, 0], [0, 0, (1 - v) / 2]]) K = np.zeros([nDofs, nDofs]) # Extract element coordinates and topology for each element for eltopo, elx, ely in zip(edof, ex, ey): Ke = cfc.plante(elx, ely, ep, D) cfc.assem(eltopo, K, Ke) # Solve the system a, r = cfc.solveq(K, f, bc, bcVal) # ------ Determine stresses and displacements print("Computing the element forces") # Extract element displacements ed = cfc.extractEldisp(edof, a) # Determine max displacement max_disp = [[0, 0], 0] # [node idx, value] for idx, node in zip(range(len(ed)), ed): for i in range(3): disp = math.sqrt(node[2 * i]**2 + node[2 * i + 1]**2) if disp > max_disp[1]: max_disp = [[idx, 2 * i], disp] # Determine Von Mises stresses vonMises = [] max_vm = [0, 0] # [node idx, value] for i in range(edof.shape[0]): es, et = cfc.plants(ex[i, :], ey[i, :], ep, D, ed[i, :]) try: vonMises.append( math.sqrt( pow(es[0, 0], 2) - es[0, 0] * es[0, 1] + pow(es[0, 1], 2) + 3 * es[0, 2])) if vonMises[-1] > max_vm[1]: max_vm = [i, vonMises[-1]] except ValueError: vonMises.append(0) print("CAUGHT MATH EXCEPTION with es = {0}".format(es)) # Note: es = [sigx sigy tauxy] # ------ Store the solution in the output model variables self.outputData.disp = ed self.outputData.stress = vonMises self.outputData.geometry = geometry self.outputData.a = a self.outputData.coords = coords self.outputData.edof = edof self.outputData.mp = mp self.outputData.meshGen = meshGen self.outputData.statistics = [ max_vm, max_disp, curve_dict, self.inputData.dxf.anchor, self.inputData.dxf.wh ] if self.inputData.paramFilename is None: print("Solution completed.")
def execute(self): # --- Överför modell variabler till lokala referenser ep = self.inputData.ep E = self.inputData.E v = self.inputData.v Elementsize = self.inputData.Elementsize # --- Anropa InputData för en geomtetribeskrivning geometry = self.inputData.geometry() # --- Nätgenerering elType = 3 # <-- Fyrnodselement flw2i4e dofsPerNode = 2 meshGen = cfm.GmshMeshGenerator(geometry) meshGen.elSizeFactor = Elementsize # <-- Anger max area för element meshGen.elType = elType meshGen.dofsPerNode = dofsPerNode meshGen.returnBoundaryElements = True coords, edof, dof, bdofs, elementmarkers, boundaryElements = meshGen.create( ) self.outputData.topo = meshGen.topo #Solver bc = np.array([], 'i') bcVal = np.array([], 'i') D = cfc.hooke(1, E, v) nDofs = np.size(dof) ex, ey = cfc.coordxtr(edof, coords, dof) #Coordinates K = np.zeros([nDofs, nDofs]) #Append Boundary Conds f = np.zeros([nDofs, 1]) bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 30, 0.0, 0) cfu.applyforce(bdofs, f, 20, 100e3, 1) qs_array = [] qt_array = [] for x, y, z in zip(ex, ey, edof): Ke = cfc.planqe(x, y, ep, D) cfc.assem(z, K, Ke) asolve, r = cfc.solveq(K, f, bc, bcVal) ed = cfc.extractEldisp(edof, asolve) for x, y, z in zip(ex, ey, ed): qs, qt = cfc.planqs(x, y, ep, D, z) qs_array.append(qs) qt_array.append(qt) vonMises = [] stresses1 = [] stresses2 = [] # For each element: for i in range(edof.shape[0]): # Determine element stresses and strains in the element. es, et = cfc.planqs(ex[i, :], ey[i, :], ep, D, ed[i, :]) # Calc and append effective stress to list. vonMises.append( np.sqrt( pow(es[0], 2) - es[0] * es[1] + pow(es[1], 2) + 3 * es[2])) ## es: [sigx sigy tauxy] # sigmaij = np.array([[es(i,1),es(i,3),0],[es(i,3),es(i,2),0],[0,0,0]]) sigmaij = np.array([[es[0], es[2], 0], [es[2], es[1], 0], [0, 0, 0]]) [v, w] = np.linalg.eig(sigmaij) stresses1.append(v[0] * w[0]) stresses2.append(v[1] * w[1]) # --- Överför modell variabler till lokala referenser self.outputData.vonMises = vonMises self.outputData.edof = edof self.outputData.coords = coords self.outputData.stresses1 = stresses1 self.outputData.stresses2 = stresses2 self.outputData.geometry = geometry self.outputData.asolve = asolve self.outputData.r = r self.outputData.ed = ed self.outputData.qs = qs_array self.outputData.qt = qt_array self.outputData.dofsPerNode = dofsPerNode self.outputData.elType = elType self.outputData.calcDone = True