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OpenSees Model Generator.py
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OpenSees Model Generator.py
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from IPython import get_ipython
def __reset__(): get_ipython().magic('reset -sf')
# import OpenSeesPy rendering module
from openseespy.postprocessing.Get_Rendering import *
import openseespy.opensees as ops
import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
import math
ops.wipe()
#read building summary spreadsheet
bldg = pd.read_excel (r'bldg_table_removed small area.xlsx')
bldg_arr= bldg.to_numpy()
#read original building spreadpsheet
original_bldg= pd.read_excel (r'bldg_removed no wall.xlsx')
#read original wall spreadsheet
original_wall= pd.read_excel (r'wall revised.xlsx')
#record 5 eigenvalues for each building
num_eigen= 5
#initialize matrix to store period data
period_data= np.zeros((bldg.shape[0],num_eigen))
#loop through all buildings to create linear elastic 3D stick models
for bldg_num in range(bldg.shape[0]):
#read bldg ID
bldg_id= bldg.iat[bldg_num,20]
#read processed wall data spreadsheet
wall= pd.read_excel (r'Bldg Plan Jan 4/Wall Table/wall_table%d.xlsx' %(bldg_id))
wall.fillna(0, inplace=True)
wall_arr = wall.to_numpy()
# =============================================================================
# Set modelbuilder
# =============================================================================
ops.model('basic', '-ndm', 3)
# =============================================================================
# Define Material
# =============================================================================
#1.material ID 2.elastic modulus (float) 3.Poisson’s ratio (float) 4.mass density (float) (optional)
conc_mat = ["ElasticIsotropic",0,0,0,0]
conc_mat[1] = 1 #material ID
conc_mat[3] = 0.17 #Poisson's ratio
conc_mat[4] = 2400 #mass density
#elastic modulus
original_bldg_row= original_bldg.loc[original_bldg['BuildingID'] == bldg_id]
if pd.isnull(original_bldg_row.iat[0,47]):
conc_mat[2] = 4.5*10**9*math.sqrt(4000*0.00689476)
#conc_mat[2] = (3300*(4000*0.00689476)**0.5+6900)*(conc_mat[4]/2300)**1.5*10**6 #take comp strength as 4000 is no data available
else:
conc_mat[2] = 4.5*10**9*math.sqrt(original_bldg_row.iat[0,47]*0.00689476)
#conc_mat[2] = (3300*(original_bldg_row.iat[0,47]*0.00689476)**0.5+6900)*(conc_mat[4]/2300)**1.5*10**6
# =============================================================================
# Define Node
# =============================================================================
story_height = bldg.iat[bldg_num,4]
num_story= bldg.iat[bldg_num,3]
#joint nodes
node_data = np.zeros((wall.shape[0]*(num_story+1),4))
floor = 0
#1.node ID 2.x coord 3.y coord 4.z coord
for story in range(num_story+1):
node_data[floor:floor+wall.shape[0],0] = list(range(1,wall.shape[0]+1))+np.ones(wall.shape[0])*(story+1)*1000
node_data[floor:floor+wall.shape[0],1:3] = wall_arr[:,1:3]
node_data[floor:floor+wall.shape[0],3] = np.ones(wall.shape[0])*story*story_height
floor = floor + wall.shape[0]
for i in range(node_data.shape[0]):
ops.node(int(node_data[i,0]), node_data[i,1], node_data[i,2], node_data[i,3])
# #master node at center of rigidity for rigid diaphragm
# cor_node_data= np.zeros((num_story,4))
#
# cor_node_data[:,0]= [x for x in list(range(1,num_story+1))] #nodes start at 1 on floor 2
# cor_node_data[:,1]= bldg_arr[bldg_num,17] #COR x coord
# cor_node_data[:,2]= bldg_arr[bldg_num,18] #COR y coord
# cor_node_data[:,3]= [x*story_height for x in list(range(1,num_story+1))] #height of each story
#
# for i in range(cor_node_data.shape[0]):
# ops.node(int(cor_node_data[i,0]), cor_node_data[i,1], cor_node_data[i,2], cor_node_data[i,3])
#floor plate center of mass calculation
#1.area 2.mass 3.x*mass 4.y*mass
#all standard metric
mass_calc= np.zeros((wall.shape[0],4))
mass_calc[:,0]= np.multiply(wall_arr[:,3],wall_arr[:,4])
mass_calc[:,1]= conc_mat[4]*story_height*mass_calc[:,0]
mass_calc[:,2]= np.multiply(wall_arr[:,1], mass_calc[:,1])
mass_calc[:,3]= np.multiply(wall_arr[:,2], mass_calc[:,1])
overall_x_com= bldg.iat[bldg_num,11]
overall_y_com= bldg.iat[bldg_num,12]
seismic_mass= bldg.iat[bldg_num,2]*(bldg.iat[bldg_num,8]*conc_mat[4]+1200/9.81);
#back calculate slab COM given available data
slab_x_com= (overall_x_com*(seismic_mass+sum(mass_calc[:,1]))- sum(mass_calc[:,2]))/seismic_mass
slab_y_com= (overall_y_com*(seismic_mass+sum(mass_calc[:,1]))- sum(mass_calc[:,3]))/seismic_mass
#mass nodes
mass_node_data= np.zeros((num_story,10))
#1.node ID 2.x coord 3.y coord 4.z coord 5 to 10:mass in 6 DOFs
mass_node_data[:,0]= [x*10000 for x in list(range(1,num_story+1))]
mass_node_data[:,1]= slab_x_com
mass_node_data[:,2]= slab_y_com
mass_node_data[:,3]= [x*story_height for x in list(range(1,num_story+1))]
mass_node_data[:,4:6]= seismic_mass
mass_node_data[:,9]= (bldg.iat[bldg_num,0]**2+bldg.iat[bldg_num,1]**2)*seismic_mass/12
for i in range(mass_node_data.shape[0]):
ops.node(int(mass_node_data[i,0]), mass_node_data[i,1], mass_node_data[i,2], mass_node_data[i,3], '-mass', mass_node_data[i,4], mass_node_data[i,5], mass_node_data[i,6], mass_node_data[i,7], mass_node_data[i,8], mass_node_data[i,9])
#add mass to node to represent DL on columns
# dl_data= np.zeros(((num_story)*wall.shape[0],7))
#
# wall_data= original_wall.loc[original_wall['BuildingID'] == bldg_id]
# wall_data= wall_data.loc[wall_data['WallFloor'] > 1]
# wall_data_arr = wall_data.to_numpy()
#
# floor = 0
#
# for i in range(num_story):
# dl_data[floor:floor+wall.shape[0],0]= node_data[floor+wall.shape[0]:floor+wall.shape[0]*2,0]
# dl_data[floor:floor+wall.shape[0],1]= np.multiply(wall_data_arr[:,18],wall_data_arr[:,19])*original_bldg.iat[bldg_num,38]**2*0.0254**2*(1200/9.81+bldg.iat[bldg_num,8]*conc_mat[4])
# dl_data[floor:floor+wall.shape[0],2]= dl_data[floor:floor+wall.shape[0],1]
# dl_data[floor:floor+wall.shape[0],3]= dl_data[floor:floor+wall.shape[0],1]
# dl_data[floor:floor+wall.shape[0],4]= dl_data[floor:floor+wall.shape[0],1]
# dl_data[floor:floor+wall.shape[0],5]= dl_data[floor:floor+wall.shape[0],1]
# dl_data[floor:floor+wall.shape[0],6]= dl_data[floor:floor+wall.shape[0],1]
# floor = floor + wall.shape[0]
#
# for i in range(dl_data.shape[0]):
# ops.mass(dl_data[i,0], dl_data[i,1], dl_data[i,2], dl_data[i,3], dl_data[i,4], dl_data[i,5], dl_data[i,6])
#
# =============================================================================
# Set Boundary Condition
# =============================================================================
#1.node 2 to 6: 1=fixed, 0=free
constraint_data= np.ones((wall.shape[0],7))
constraint_data[:,0]= node_data[0:wall.shape[0],0]
for i in range(wall.shape[0]):
ops.fix(constraint_data[i,0], int(constraint_data[i,1]), int(constraint_data[i,2]), int(constraint_data[i,3]), int(constraint_data[i,4]), int(constraint_data[i,5]), int(constraint_data[i,6]))
#constraints for mass nodes
mass_constraint_data= np.ones((num_story,7))
mass_constraint_data[:,0]= mass_node_data[0:mass_node_data.shape[0],0]
mass_constraint_data[:,1:3]= 0
mass_constraint_data[:,6]= 1
for i in range(mass_constraint_data.shape[0]):
ops.fix(mass_constraint_data[i,0], 0,0,1,1,1,0)
# =============================================================================
# Apply Wall Constraints
# =============================================================================
original_wall_data= original_wall.loc[original_wall['BuildingID'] == bldg_id]
typical_floor= max(original_wall_data['WallFloor'])
original_wall_data= original_wall_data.loc[original_wall_data['WallFloor'] == typical_floor]
attached= np.zeros((original_wall_data.shape[0],2))
coupled= np.zeros((original_wall_data.shape[0],2))
attached_row= 0
coupled_row= 0
for i in range(original_wall_data.shape[0]):
if np.isnan(original_wall_data.iat[i,9])!= 1:
attached[attached_row,0]= original_wall_data.iat[i,2]
attached[attached_row,1]= original_wall_data.iat[i,9]
attached_row= attached_row+ 1
if np.isnan(original_wall_data.iat[i,10])!= 1:
coupled[coupled_row,0]= original_wall_data.iat[i,2]
coupled[coupled_row,1]= original_wall_data.iat[i,10]
coupled_row= coupled_row+ 1
attached= np.delete(attached,np.where(~attached.any(axis=1))[0], axis=0)
coupled= np.delete(coupled,np.where(~coupled.any(axis=1))[0], axis=0)
#assume coupled walls are attached
combined= np.concatenate((attached, coupled))
wall_constraint_organizer= np.zeros((attached.shape[0]+coupled.shape[0],original_wall_data.shape[0]+10))
for combined_row in range(combined.shape[0]):
if combined[combined_row,1] in wall_constraint_organizer[:,:]:
row = np.where(wall_constraint_organizer == combined[combined_row,1])[0][0]
column= np.where(wall_constraint_organizer[row,:] == 0)[0][0]
wall_constraint_organizer[row,column]= combined[combined_row,0]
else:
row = np.where(wall_constraint_organizer[:,0] == 0)[0][0]
wall_constraint_organizer[row,0:2]= combined[combined_row,:]
wall_constraint_organizer= np.delete(wall_constraint_organizer,np.where(~wall_constraint_organizer.any(axis=1))[0], axis=0)
wall_constraint_organizer[wall_constraint_organizer==0] = np.nan
for current_row in range(wall_constraint_organizer.shape[0]):
if wall_constraint_organizer[current_row,0]!='nan':
for row in range(wall_constraint_organizer.shape[0]):
if wall_constraint_organizer[row,0]!='nan':
if set(wall_constraint_organizer[current_row,:]).isdisjoint(set(wall_constraint_organizer[row,:])):
pass
else:
temp= np.union1d(wall_constraint_organizer[current_row,:], wall_constraint_organizer[row,:])
temp= temp[~np.isnan(temp)]
wall_constraint_organizer[current_row,0:temp.shape[0]]= temp
if row!=current_row:
wall_constraint_organizer[row,:]= 'nan'
wall_constraint_organizer[np.isnan(wall_constraint_organizer)] = 0
original_wall_data_arr= original_wall_data.to_numpy()
wall_constraint_data= wall_constraint_organizer
for row in range(wall_constraint_organizer.shape[0]):
if wall_constraint_organizer[row,0]!= 0:
end_column= np.where(wall_constraint_organizer[row,:] == 0)[0][0]
for column in range(end_column):
wall_constraint_data[row,column]= np.where(original_wall_data_arr[:,2] == wall_constraint_organizer[row,column])[0][0]+1
check= np.zeros((1000,2))
check_row= 0
for row in range(wall_constraint_data.shape[0]):
if wall_constraint_data[row,0]!= 0:
end_column= np.where(wall_constraint_data[row,:] == 0)[0][0]
for column in range(1,end_column):
for floor in range(num_story):
ops.equalDOF(int(wall_constraint_data[row,0]+1000*(floor+2)), int(wall_constraint_data[row,column]+1000*(floor+2)),3,4,5)
check[check_row,0]= wall_constraint_data[row,0]+1000*(floor+2)
check[check_row,1]= wall_constraint_data[row,column]+1000*(floor+2)
check_row= check_row+1
# =============================================================================
# Define Coordinate Transformation
# =============================================================================
ops.geomTransf('Linear', 1, 1, 0, 0)
# =============================================================================
# Define Elements
# =============================================================================
#in local coordinate system: 0.J 1.Iz 2.Iy
moment_of_inertia= np.zeros((wall.shape[0],3))
for i in range(wall.shape[0]):
moment_of_inertia[i,0]= wall.iat[i,3]*wall.iat[i,4]**3/3
if wall.iat[i,7]=='E/W':
moment_of_inertia[i,1]= wall.iat[i,3]**3*wall.iat[i,4]/12
moment_of_inertia[i,2]= wall.iat[i,4]**3*wall.iat[i,3]/12
elif wall.iat[i,7]=='N/S':
moment_of_inertia[i,1]= wall.iat[i,4]**3*wall.iat[i,3]/12
moment_of_inertia[i,2]= wall.iat[i,3]**3*wall.iat[i,4]/12
element_data= np.zeros((wall.shape[0]*num_story,11))
row= 0
for story in range(num_story):
element_data[row:row+ wall.shape[0],0]= list(range(1,wall.shape[0]+1))+np.ones(wall.shape[0])*(story+1)*1000 #element ID
#node 1 at the bottom and node 2 at the top of each floor
element_data[row:row+ wall.shape[0],1]= node_data[row:row+wall.shape[0],0] #node 1 (i)
element_data[row:row+ wall.shape[0],2]= node_data[row+wall.shape[0]:row+wall.shape[0]*2,0] #node 2 (j)
element_data[row:row+ wall.shape[0],3]= np.multiply(wall_arr[:,3],wall_arr[:,4]) #area
element_data[row:row+ wall.shape[0],4]= conc_mat[2] #elastic modulus
element_data[row:row+ wall.shape[0],5]= element_data[row:row+ wall.shape[0],4]/(2*(1+0.17)) #shear modulus
element_data[row:row+ wall.shape[0],6]= moment_of_inertia[:,0] #J
element_data[row:row+ wall.shape[0],7]= moment_of_inertia[:,1]*0.7 #70% of Iy
element_data[row:row+ wall.shape[0],8]= moment_of_inertia[:,2]*0.7 #70% of Iz
element_data[row:row+ wall.shape[0],9]= 1 #coordinate transfer flag
element_data[row:row+ wall.shape[0],10]= conc_mat[4]*element_data[row:row+ wall.shape[0],3] #mass/length
row= row+ wall.shape[0]
for i in range(element_data.shape[0]):
ops.element('elasticBeamColumn',int(element_data[i,0]),int(element_data[i,1]),int(element_data[i,2]),element_data[i,3],element_data[i,4],element_data[i,5],element_data[i,6],element_data[i,7],element_data[i,8],int(element_data[i,9]),'-mass',element_data[i,10])
# =============================================================================
# Define Rigid Diaphragm
# =============================================================================
for i in range(num_story):
ops.rigidDiaphragm(3, (i+1)*10000, *list(node_data[(i+1)*wall.shape[0]:(i+1)*wall.shape[0]+ wall.shape[0],0]))
# =============================================================================
# Define Gravity Load in Columns
# =============================================================================
# #define time series
# ops.timeSeries('Constant', 1)
#
# #define pattern
# ops.pattern('Plain', 1, 1)
#
# #define nodal loads
# wall_data= original_wall.loc[original_wall['BuildingID'] == bldg_id]
# #note: need to modify line below to ensure the largest floor is taken
# wall_data= wall_data.loc[wall_data['WallFloor'] > 1]
# wall_data_arr = wall_data.to_numpy()
#
# gravity_load_data= np.zeros((element_data.shape[0],7))
#
# row= 0
#
# gravity_load_data[:,0]= node_data[wall.shape[0]:node_data.shape[0],0]
#
# for story in range(num_story):
# gravity_load_data[row:row+ wall.shape[0],3]= -1*np.multiply(wall_data_arr[:,18],wall_data_arr[:,19])*original_bldg.iat[bldg_num,38]**2*0.0254**2*(1200+bldg.iat[bldg_num,8]*conc_mat[4]*9.81)
#
# row= row+ wall.shape[0]
# for i in range(gravity_load_data.shape[0]):
# ops.load(int(gravity_load_data[i,0]), gravity_load_data[i,1], gravity_load_data[i,2], gravity_load_data[i,3], gravity_load_data[i,4], gravity_load_data[i,5], gravity_load_data[i,6])
# =============================================================================
# Analysis Generation
# =============================================================================
#eigen command
eigen_values= ops.eigen(num_eigen)
period= 2*math.pi/np.sqrt(eigen_values)
period_data[bldg_num,:]= period
# render the model after defining all the nodes and elements
#plot_model()
ops.wipe()
#plot period vs. story
plt.plot(period_data[:,0], bldg_arr[:,3], 'o', color='black',markersize=5)
plt.ylim(0, 35)
plt.xlim(0, 6)
plt.xlabel('Fundamental period (s)')
plt.ylabel('Storeys above grade')
plt.plot([0,3.5], [0,35])