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Post-buckling of a truss column using Arc-Length Control.
This is the same structure as in problem Post-buckling of a truss column using load Control. but it will be solved using arc-length-control.
Author: Peter Mackenzie-Helnwein
Setup
import numpy as np
import matplotlib.pyplot as plt
from femedu.examples import Example
from femedu.domain import System, Node
from femedu.elements.finite import Truss
from femedu.materials import FiberMaterial
from femedu.solver import NewtonRaphsonSolver
Create the example by subclassing the Example
class ExampleTruss09(Example):
def problem(self):
# units
mm = 1.
m = 1000. * mm
N = 1.0
kN = 1000. * N
MN = 1000. * kN
Pa = N / m**2
MPa = 1.e6 * Pa
GPa = 1000. * MPa
# mesh parameters
H = 5.00 * m
W = H / 20
Px = 0.05 * kN
#Ny = 11
Ny = 20
params_vert = dict(
E = 200 * GPa,
A = 10 * mm**2
)
params_diag = dict(
E = 200 * GPa,
A = 50 * mm**2
)
params_brace = dict(
E = 200 * GPa,
A = 50 * mm**2
)
EI = params_vert['E'] * params_vert['A'] * W**2 / 2
Py = EI * np.pi**2 / (2*H)**2
# initialize a system model
model = System()
model.setSolver(NewtonRaphsonSolver())
# create floor nodes
h = 0.0
nd0 = Node(0.0, h)
nd1 = Node( W, h)
nd_00 = nd0
nd_01 = nd1
model.addNode(nd0, nd1)
for layer in range(Ny):
h += H / Ny
nd_10 = Node(0.0, h)
nd_11 = Node( W, h)
model.addNode(nd_10, nd_11)
# create elements
model += Truss(nd_00, nd_10, FiberMaterial(params_vert))
model += Truss(nd_01, nd_11, FiberMaterial(params_vert))
model += Truss(nd_00, nd_11, FiberMaterial(params_diag))
model += Truss(nd_10, nd_11, FiberMaterial(params_brace))
# prep for the next level
nd_00 = nd_10
nd_01 = nd_11
# apply boundary conditions
nd0.fixDOF(['ux','uy'])
nd1.fixDOF(['ux','uy'])
# build reference load
nd_10.addLoad([-Py/2],['uy'])
nd_11.addLoad([-Py/2],['uy'])
nd_10.addLoad([ Px/2],['ux'])
nd_11.addLoad([ Px/2],['ux'])
# write out report
model.report()
# create plots
model.setLoadFactor(1.0) # needed to show the reference load
model.plot(factor=0., filename="truss08_undeformed.png", show_loads=1, show_bc=1, title="Undeformed System")
#
# performing the analysis
#
model.resetDisp()
model.setLoadFactor(0.0)
model.solve()
# set up data collection
load_list = [ 0.0 ]
data_list = [ nd_11.getDisp() ]
# initialize the arc-length parameters
model.initArcLength(load_increment=0.33, alpha=0.04, tolerance=1.0e-4)
# increments until the load level exceeds 2.0
#
# use a counter to prevent run-away analysis
maxSteps = 100
nSteps = 0
while True: # an endless loop
# mode by one reference arc-length
model.stepArcLength(max_iter=20, verbose=True)
# collect data
load_list.append(model.loadfactor)
data_list.append(nd_11.getDisp())
# emergency exit for run-away jobs
nSteps += 1
if nSteps > maxSteps:
print("Maximum number of load steps exceeded")
break
if model.loadfactor > 2.0:
print(f"Reached the target load level after {nSteps} steps")
break
# plot the deformed shape
model.plot(factor=1.0,
title="Deformed Sytem at Transition to Displacement Control",
filename="truss09_deformed_end_load_control.png",
show_loads=False, show_reactions=False)
#
# create a nice summary plot
#
levels = np.array(load_list)
data = np.array(data_list)
plt.figure()
plt.plot(data, levels, '--o')
plt.grid(True)
plt.xlabel('displacements $ u_i $')
plt.ylabel('load factor $ \lambda $')
plt.legend(['$ u_x $','$ u_y $'])
plt.savefig("truss09_deformation_history.png")
plt.show()
Run the example by creating an instance of the problem and executing it by calling Example.run()
if __name__ == "__main__":
ex = ExampleTruss09()
ex.run()
System Analysis Report
=======================
Nodes:
---------------------
Node_135:
x: [0. 0.]
fix: ['ux', 'uy']
u: None
Node_136:
x: [250. 0.]
fix: ['ux', 'uy']
u: None
Node_137:
x: [ 0. 250.]
u: None
Node_138:
x: [250. 250.]
u: None
Node_139:
x: [ 0. 500.]
u: None
Node_140:
x: [250. 500.]
u: None
Node_141:
x: [ 0. 750.]
u: None
Node_142:
x: [250. 750.]
u: None
Node_143:
x: [ 0. 1000.]
u: None
Node_144:
x: [ 250. 1000.]
u: None
Node_145:
x: [ 0. 1250.]
u: None
Node_146:
x: [ 250. 1250.]
u: None
Node_147:
x: [ 0. 1500.]
u: None
Node_148:
x: [ 250. 1500.]
u: None
Node_149:
x: [ 0. 1750.]
u: None
Node_150:
x: [ 250. 1750.]
u: None
Node_151:
x: [ 0. 2000.]
u: None
Node_152:
x: [ 250. 2000.]
u: None
Node_153:
x: [ 0. 2250.]
u: None
Node_154:
x: [ 250. 2250.]
u: None
Node_155:
x: [ 0. 2500.]
u: None
Node_156:
x: [ 250. 2500.]
u: None
Node_157:
x: [ 0. 2750.]
u: None
Node_158:
x: [ 250. 2750.]
u: None
Node_159:
x: [ 0. 3000.]
u: None
Node_160:
x: [ 250. 3000.]
u: None
Node_161:
x: [ 0. 3250.]
u: None
Node_162:
x: [ 250. 3250.]
u: None
Node_163:
x: [ 0. 3500.]
u: None
Node_164:
x: [ 250. 3500.]
u: None
Node_165:
x: [ 0. 3750.]
u: None
Node_166:
x: [ 250. 3750.]
u: None
Node_167:
x: [ 0. 4000.]
u: None
Node_168:
x: [ 250. 4000.]
u: None
Node_169:
x: [ 0. 4250.]
u: None
Node_170:
x: [ 250. 4250.]
u: None
Node_171:
x: [ 0. 4500.]
u: None
Node_172:
x: [ 250. 4500.]
u: None
Node_173:
x: [ 0. 4750.]
u: None
Node_174:
x: [ 250. 4750.]
u: None
Node_175:
x: [ 0. 5000.]
P: [ 25. -3084.25137534]
u: None
Node_176:
x: [ 250. 5000.]
P: [ 25. -3084.25137534]
u: None
Elements:
---------------------
Truss: Node_135 to Node_137:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_136 to Node_138:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_135 to Node_138:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_137 to Node_138:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_137 to Node_139:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_138 to Node_140:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_137 to Node_140:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_139 to Node_140:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_139 to Node_141:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_140 to Node_142:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_139 to Node_142:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_141 to Node_142:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_141 to Node_143:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_142 to Node_144:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_141 to Node_144:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_143 to Node_144:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_143 to Node_145:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_144 to Node_146:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_143 to Node_146:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_145 to Node_146:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_145 to Node_147:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_146 to Node_148:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_145 to Node_148:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_147 to Node_148:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_147 to Node_149:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_148 to Node_150:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_147 to Node_150:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_149 to Node_150:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_149 to Node_151:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_150 to Node_152:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_149 to Node_152:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_151 to Node_152:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_151 to Node_153:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_152 to Node_154:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_151 to Node_154:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_153 to Node_154:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_153 to Node_155:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_154 to Node_156:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_153 to Node_156:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_155 to Node_156:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_155 to Node_157:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_156 to Node_158:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_155 to Node_158:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_157 to Node_158:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_157 to Node_159:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_158 to Node_160:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_157 to Node_160:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_159 to Node_160:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_159 to Node_161:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_160 to Node_162:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_159 to Node_162:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_161 to Node_162:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_161 to Node_163:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_162 to Node_164:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_161 to Node_164:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_163 to Node_164:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_163 to Node_165:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_164 to Node_166:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_163 to Node_166:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_165 to Node_166:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_165 to Node_167:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_166 to Node_168:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_165 to Node_168:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_167 to Node_168:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_167 to Node_169:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_168 to Node_170:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_167 to Node_170:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_169 to Node_170:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_169 to Node_171:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_170 to Node_172:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_169 to Node_172:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_171 to Node_172:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_171 to Node_173:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_172 to Node_174:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_171 to Node_174:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_173 to Node_174:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_173 to Node_175:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_174 to Node_176:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 10.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_173 to Node_176:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
Truss: Node_175 to Node_176:
material properties: FiberMaterial(Material)({'E': 200000.0, 'A': 50.0, 'nu': 0.0, 'fy': 1e+30}) strain:0.0 stress:{'xx': 0.0, 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}
internal force: 0.0
+
+
+
Last converged state stored at lam=0.33
norm of the out-of-balance force: 8.2920e+04 with g= 8.2879e+04
norm of the out-of-balance force: 1.6569e+06 with g= -1.6521e+06
norm of the out-of-balance force: 5.1266e+05 with g= -5.1266e+05
norm of the out-of-balance force: 1.4611e+05 with g= -1.3796e+05
norm of the out-of-balance force: 2.5723e+04 with g= -2.5721e+04
norm of the out-of-balance force: 9.5233e+03 with g= -9.0877e+03
norm of the out-of-balance force: 3.2146e+02 with g= -3.0907e+02
norm of the out-of-balance force: 1.6638e+01 with g= -1.5828e+01
norm of the out-of-balance force: 3.5671e-03 with g= -3.3529e-03
norm of the out-of-balance force: 5.4267e-08 with g= -9.1723e-10
+
Last converged state stored at lam=0.6227422697123588
norm of the out-of-balance force: 6.6676e+04 with g= 6.5221e+04
norm of the out-of-balance force: 2.0449e+05 with g= -2.0391e+05
norm of the out-of-balance force: 5.5408e+04 with g= -5.5408e+04
norm of the out-of-balance force: 6.1144e+03 with g= -5.7866e+03
norm of the out-of-balance force: 9.2764e+01 with g= -9.0033e+01
norm of the out-of-balance force: 1.1474e+00 with g= -1.1337e+00
norm of the out-of-balance force: 1.0115e-05 with g= -9.6345e-06
+
Last converged state stored at lam=0.7876478588316225
norm of the out-of-balance force: 4.9724e+04 with g= 2.0696e+04
norm of the out-of-balance force: 2.1897e+04 with g= -2.1891e+04
norm of the out-of-balance force: 6.3454e+03 with g= -6.3454e+03
norm of the out-of-balance force: 1.1488e+02 with g= -1.0849e+02
norm of the out-of-balance force: 3.5700e-02 with g= -3.3758e-02
norm of the out-of-balance force: 1.2451e-07 with g= -1.0868e-07
+
Last converged state stored at lam=0.8582211678855406
norm of the out-of-balance force: 5.8126e+04 with g= 3.7905e+03
norm of the out-of-balance force: 2.1377e+03 with g= -2.1375e+03
norm of the out-of-balance force: 1.8609e+02 with g= -1.8609e+02
norm of the out-of-balance force: 1.0489e-01 with g= -9.8989e-02
norm of the out-of-balance force: 5.5873e-08 with g= -2.8076e-08
+
Last converged state stored at lam=0.894744463635534
norm of the out-of-balance force: 6.0363e+04 with g= 1.0152e+03
norm of the out-of-balance force: 5.6786e+02 with g= -5.6741e+02
norm of the out-of-balance force: 1.2622e+01 with g= -1.2621e+01
norm of the out-of-balance force: 4.8446e-04 with g= -4.5715e-04
norm of the out-of-balance force: 3.5990e-08 with g= -1.0914e-11
+
Last converged state stored at lam=0.9171595588454392
norm of the out-of-balance force: 6.0976e+04 with g= 3.8238e+02
norm of the out-of-balance force: 2.5692e+02 with g= -2.5596e+02
norm of the out-of-balance force: 2.0406e+00 with g= -2.0405e+00
norm of the out-of-balance force: 1.2704e-05 with g= -1.1993e-05
+
Last converged state stored at lam=0.9325833500342592
norm of the out-of-balance force: 6.1208e+04 with g= 1.8105e+02
norm of the out-of-balance force: 1.5454e+02 with g= -1.5294e+02
norm of the out-of-balance force: 6.0771e-01 with g= -6.0763e-01
norm of the out-of-balance force: 1.1317e-06 with g= -1.0686e-06
+
Last converged state stored at lam=0.9441053338225353
norm of the out-of-balance force: 6.1318e+04 with g= 1.0104e+02
norm of the out-of-balance force: 1.1112e+02 with g= -1.0887e+02
norm of the out-of-balance force: 2.7131e-01 with g= -2.7126e-01
norm of the out-of-balance force: 2.3420e-07 with g= -2.1400e-07
+
Last converged state stored at lam=0.9532736531530897
norm of the out-of-balance force: 6.1380e+04 with g= 6.3973e+01
norm of the out-of-balance force: 8.9769e+01 with g= -8.6957e+01
norm of the out-of-balance force: 1.5665e-01 with g= -1.5661e-01
norm of the out-of-balance force: 8.4442e-08 with g= -7.1654e-08
+
Last converged state stored at lam=0.9609482768676206
norm of the out-of-balance force: 6.1419e+04 with g= 4.4826e+01
norm of the out-of-balance force: 7.8195e+01 with g= -7.4943e+01
norm of the out-of-balance force: 1.0626e-01 with g= -1.0622e-01
norm of the out-of-balance force: 6.3776e-08 with g= -3.3053e-08
+
Last converged state stored at lam=0.9676450747420472
norm of the out-of-balance force: 6.1446e+04 with g= 3.4131e+01
norm of the out-of-balance force: 7.1504e+01 with g= -6.7928e+01
norm of the out-of-balance force: 7.9850e-02 with g= -7.9819e-02
norm of the out-of-balance force: 6.4528e-08 with g= -1.8732e-08
+
Last converged state stored at lam=0.9736925116512792
norm of the out-of-balance force: 6.1467e+04 with g= 2.7833e+01
norm of the out-of-balance force: 6.7488e+01 with g= -6.3683e+01
norm of the out-of-balance force: 6.4196e-02 with g= -6.4164e-02
norm of the out-of-balance force: 4.7000e-08 with g= -1.2133e-08
+
Last converged state stored at lam=0.9793099729067152
norm of the out-of-balance force: 6.1484e+04 with g= 2.4016e+01
norm of the out-of-balance force: 6.5055e+01 with g= -6.1097e+01
norm of the out-of-balance force: 5.4067e-02 with g= -5.4034e-02
norm of the out-of-balance force: 5.3286e-08 with g= -8.6911e-09
+
Last converged state stored at lam=0.9846498954569786
norm of the out-of-balance force: 6.1498e+04 with g= 2.1701e+01
norm of the out-of-balance force: 6.3628e+01 with g= -5.9573e+01
norm of the out-of-balance force: 4.7092e-02 with g= -4.7057e-02
norm of the out-of-balance force: 3.3776e-08 with g= -6.5702e-09
+
Last converged state stored at lam=0.989821812458485
norm of the out-of-balance force: 6.1511e+04 with g= 2.0357e+01
norm of the out-of-balance force: 6.2879e+01 with g= -5.8772e+01
norm of the out-of-balance force: 4.2071e-02 with g= -4.2033e-02
norm of the out-of-balance force: 4.4141e-08 with g= -5.2733e-09
+
Last converged state stored at lam=0.9949067620146367
norm of the out-of-balance force: 6.1523e+04 with g= 1.9678e+01
norm of the out-of-balance force: 6.2617e+01 with g= -5.8492e+01
norm of the out-of-balance force: 3.8345e-02 with g= -3.8302e-02
norm of the out-of-balance force: 5.1515e-08 with g= -4.4092e-09
+
Last converged state stored at lam=0.9999662825781815
norm of the out-of-balance force: 6.1534e+04 with g= 1.9482e+01
norm of the out-of-balance force: 6.2725e+01 with g= -5.8608e+01
norm of the out-of-balance force: 3.5524e-02 with g= -3.5475e-02
norm of the out-of-balance force: 5.2932e-08 with g= -3.8672e-09
+
Last converged state stored at lam=1.0050482281891246
norm of the out-of-balance force: 6.1545e+04 with g= 1.9655e+01
norm of the out-of-balance force: 6.3129e+01 with g= -5.9040e+01
norm of the out-of-balance force: 3.3366e-02 with g= -3.3310e-02
norm of the out-of-balance force: 3.6135e-08 with g= -3.3924e-09
+
Last converged state stored at lam=1.0101906427952159
norm of the out-of-balance force: 6.1556e+04 with g= 2.0126e+01
norm of the out-of-balance force: 6.3781e+01 with g= -5.9738e+01
norm of the out-of-balance force: 3.1715e-02 with g= -3.1650e-02
norm of the out-of-balance force: 4.2916e-08 with g= -3.1014e-09
+
Last converged state stored at lam=1.0154244102899632
norm of the out-of-balance force: 6.1566e+04 with g= 2.0847e+01
norm of the out-of-balance force: 6.4651e+01 with g= -6.0668e+01
norm of the out-of-balance force: 3.0466e-02 with g= -3.0389e-02
norm of the out-of-balance force: 3.9090e-08 with g= -2.9686e-09
+
Last converged state stored at lam=1.0207751097708824
norm of the out-of-balance force: 6.1577e+04 with g= 2.1789e+01
norm of the out-of-balance force: 6.5720e+01 with g= -6.1807e+01
norm of the out-of-balance force: 2.9545e-02 with g= -2.9455e-02
norm of the out-of-balance force: 6.1422e-08 with g= -2.6776e-09
+
Last converged state stored at lam=1.0262643416213038
norm of the out-of-balance force: 6.1587e+04 with g= 2.2932e+01
norm of the out-of-balance force: 6.6975e+01 with g= -6.3142e+01
norm of the out-of-balance force: 2.8903e-02 with g= -2.8796e-02
norm of the out-of-balance force: 5.0625e-08 with g= -2.6048e-09
+
Last converged state stored at lam=1.0319106932715572
norm of the out-of-balance force: 6.1597e+04 with g= 2.4264e+01
norm of the out-of-balance force: 6.8411e+01 with g= -6.4665e+01
norm of the out-of-balance force: 2.8504e-02 with g= -2.8376e-02
norm of the out-of-balance force: 5.7709e-08 with g= -2.4884e-09
+
Last converged state stored at lam=1.0377304546652368
norm of the out-of-balance force: 6.1606e+04 with g= 2.5777e+01
norm of the out-of-balance force: 7.0023e+01 with g= -6.6371e+01
norm of the out-of-balance force: 2.8325e-02 with g= -2.8171e-02
norm of the out-of-balance force: 5.1803e-08 with g= -2.5084e-09
+
Last converged state stored at lam=1.0437381567232122
norm of the out-of-balance force: 6.1615e+04 with g= 2.7468e+01
norm of the out-of-balance force: 7.1813e+01 with g= -6.8259e+01
norm of the out-of-balance force: 2.8350e-02 with g= -2.8165e-02
norm of the out-of-balance force: 4.0309e-08 with g= -2.5739e-09
+
Last converged state stored at lam=1.0499469826103456
norm of the out-of-balance force: 6.1624e+04 with g= 2.9338e+01
norm of the out-of-balance force: 7.3783e+01 with g= -7.0332e+01
norm of the out-of-balance force: 2.8568e-02 with g= -2.8346e-02
norm of the out-of-balance force: 4.3498e-08 with g= -2.5066e-09
+
Last converged state stored at lam=1.0563690862662602
norm of the out-of-balance force: 6.1633e+04 with g= 3.1389e+01
norm of the out-of-balance force: 7.5938e+01 with g= -7.2592e+01
norm of the out-of-balance force: 2.8975e-02 with g= -2.8709e-02
norm of the out-of-balance force: 5.5894e-08 with g= -2.5793e-09
+
Last converged state stored at lam=1.0630158424409784
norm of the out-of-balance force: 6.1641e+04 with g= 3.3623e+01
norm of the out-of-balance force: 7.8283e+01 with g= -7.5045e+01
norm of the out-of-balance force: 2.9572e-02 with g= -2.9252e-02
norm of the out-of-balance force: 4.9535e-08 with g= -2.6303e-09
+
Last converged state stored at lam=1.0698980455464868
norm of the out-of-balance force: 6.1649e+04 with g= 3.6047e+01
norm of the out-of-balance force: 8.0826e+01 with g= -7.7698e+01
norm of the out-of-balance force: 3.0362e-02 with g= -2.9979e-02
norm of the out-of-balance force: 6.1275e-08 with g= -2.8012e-09
+
Last converged state stored at lam=1.0770260698602345
norm of the out-of-balance force: 6.1655e+04 with g= 3.8668e+01
norm of the out-of-balance force: 8.3575e+01 with g= -8.0558e+01
norm of the out-of-balance force: 3.1352e-02 with g= -3.0895e-02
norm of the out-of-balance force: 5.3222e-08 with g= -3.0177e-09
+
Last converged state stored at lam=1.0844100002764896
norm of the out-of-balance force: 6.1661e+04 with g= 4.1495e+01
norm of the out-of-balance force: 8.6542e+01 with g= -8.3636e+01
norm of the out-of-balance force: 3.2554e-02 with g= -3.2008e-02
norm of the out-of-balance force: 5.9194e-08 with g= -3.1378e-09
+
Last converged state stored at lam=1.0920597404332937
norm of the out-of-balance force: 6.1667e+04 with g= 4.4536e+01
norm of the out-of-balance force: 8.9737e+01 with g= -8.6942e+01
norm of the out-of-balance force: 3.3980e-02 with g= -3.3332e-02
norm of the out-of-balance force: 7.3064e-08 with g= -3.4161e-09
+
Last converged state stored at lam=1.0999851033420838
norm of the out-of-balance force: 6.1671e+04 with g= 4.7803e+01
norm of the out-of-balance force: 9.3173e+01 with g= -9.0489e+01
norm of the out-of-balance force: 3.5648e-02 with g= -3.4880e-02
norm of the out-of-balance force: 4.3913e-08 with g= -3.7853e-09
+
Last converged state stored at lam=1.1081958884114467
norm of the out-of-balance force: 6.1674e+04 with g= 5.1308e+01
norm of the out-of-balance force: 9.6864e+01 with g= -9.4290e+01
norm of the out-of-balance force: 3.7580e-02 with g= -3.6673e-02
norm of the out-of-balance force: 6.1861e-08 with g= -4.1164e-09
+
Last converged state stored at lam=1.1167019478489046
norm of the out-of-balance force: 6.1676e+04 with g= 5.5065e+01
norm of the out-of-balance force: 1.0082e+02 with g= -9.8359e+01
norm of the out-of-balance force: 3.9799e-02 with g= -3.8732e-02
norm of the out-of-balance force: 6.6273e-08 with g= -4.6166e-09
+
Last converged state stored at lam=1.1255132447515361
norm of the out-of-balance force: 6.1676e+04 with g= 5.9088e+01
norm of the out-of-balance force: 1.0507e+02 with g= -1.0271e+02
norm of the out-of-balance force: 4.2335e-02 with g= -4.1084e-02
norm of the out-of-balance force: 5.6443e-08 with g= -5.3187e-09
+
Last converged state stored at lam=1.134639904691934
norm of the out-of-balance force: 6.1675e+04 with g= 6.3393e+01
norm of the out-of-balance force: 1.0962e+02 with g= -1.0737e+02
norm of the out-of-balance force: 4.5221e-02 with g= -4.3758e-02
norm of the out-of-balance force: 6.0871e-08 with g= -5.8390e-09
+
Last converged state stored at lam=1.1440922622254608
norm of the out-of-balance force: 6.1672e+04 with g= 6.7998e+01
norm of the out-of-balance force: 1.1450e+02 with g= -1.1235e+02
norm of the out-of-balance force: 4.8497e-02 with g= -4.6791e-02
norm of the out-of-balance force: 4.3899e-08 with g= -6.7212e-09
+
Last converged state stored at lam=1.1538809034548003
norm of the out-of-balance force: 6.1668e+04 with g= 7.2923e+01
norm of the out-of-balance force: 1.1972e+02 with g= -1.1767e+02
norm of the out-of-balance force: 5.2205e-02 with g= -5.0224e-02
norm of the out-of-balance force: 8.3037e-08 with g= -7.7507e-09
+
Last converged state stored at lam=1.1640167055656196
norm of the out-of-balance force: 6.1661e+04 with g= 7.8187e+01
norm of the out-of-balance force: 1.2531e+02 with g= -1.2336e+02
norm of the out-of-balance force: 5.6397e-02 with g= -5.4102e-02
norm of the out-of-balance force: 9.5704e-08 with g= -8.8003e-09
+
Last converged state stored at lam=1.1745108740755619
norm of the out-of-balance force: 6.1652e+04 with g= 8.3814e+01
norm of the out-of-balance force: 1.3129e+02 with g= -1.2944e+02
norm of the out-of-balance force: 6.1130e-02 with g= -5.8479e-02
norm of the out-of-balance force: 7.1675e-08 with g= -1.0174e-08
+
Last converged state stored at lam=1.1853749784055956
norm of the out-of-balance force: 6.1641e+04 with g= 8.9827e+01
norm of the out-of-balance force: 1.3769e+02 with g= -1.3593e+02
norm of the out-of-balance force: 6.6472e-02 with g= -6.3418e-02
norm of the out-of-balance force: 5.7084e-08 with g= -1.2074e-08
+
Last converged state stored at lam=1.1966209862786747
norm of the out-of-balance force: 6.1627e+04 with g= 9.6253e+01
norm of the out-of-balance force: 1.4454e+02 with g= -1.4287e+02
norm of the out-of-balance force: 7.2497e-02 with g= -6.8988e-02
norm of the out-of-balance force: 7.4154e-08 with g= -1.4275e-08
+
Last converged state stored at lam=1.2082612973691225
norm of the out-of-balance force: 6.1611e+04 with g= 1.0312e+02
norm of the out-of-balance force: 1.5187e+02 with g= -1.5029e+02
norm of the out-of-balance force: 7.9293e-02 with g= -7.5270e-02
norm of the out-of-balance force: 7.1857e-08 with g= -1.6822e-08
+
Last converged state stored at lam=1.220308776561807
norm of the out-of-balance force: 6.1591e+04 with g= 1.1046e+02
norm of the out-of-balance force: 1.5972e+02 with g= -1.5822e+02
norm of the out-of-balance force: 8.6958e-02 with g= -8.2356e-02
norm of the out-of-balance force: 9.1316e-08 with g= -2.0163e-08
+
Last converged state stored at lam=1.2327767871294764
norm of the out-of-balance force: 6.1569e+04 with g= 1.1831e+02
norm of the out-of-balance force: 1.6812e+02 with g= -1.6670e+02
norm of the out-of-balance force: 9.5605e-02 with g= -9.0351e-02
norm of the out-of-balance force: 4.9273e-08 with g= -2.4100e-08
+
Last converged state stored at lam=1.2456792240963193
norm of the out-of-balance force: 6.1543e+04 with g= 1.2670e+02
norm of the out-of-balance force: 1.7710e+02 with g= -1.7577e+02
norm of the out-of-balance force: 1.0536e-01 with g= -9.9378e-02
norm of the out-of-balance force: 7.7457e-08 with g= -2.9169e-08
+
Last converged state stored at lam=1.2590305480238815
norm of the out-of-balance force: 6.1513e+04 with g= 1.3566e+02
norm of the out-of-balance force: 1.8672e+02 with g= -1.8546e+02
norm of the out-of-balance force: 1.1638e-01 with g= -1.0957e-01
norm of the out-of-balance force: 8.0309e-08 with g= -3.5339e-08
+
Last converged state stored at lam=1.2728458194301189
norm of the out-of-balance force: 6.1479e+04 with g= 1.4526e+02
norm of the out-of-balance force: 1.9703e+02 with g= -1.9584e+02
norm of the out-of-balance force: 1.2883e-01 with g= -1.2110e-01
norm of the out-of-balance force: 8.8923e-08 with g= -4.3072e-08
+
Last converged state stored at lam=1.2871407340321557
norm of the out-of-balance force: 6.1442e+04 with g= 1.5552e+02
norm of the out-of-balance force: 2.0806e+02 with g= -2.0694e+02
norm of the out-of-balance force: 1.4290e-01 with g= -1.3414e-01
norm of the out-of-balance force: 8.2883e-08 with g= -5.2656e-08
+
Last converged state stored at lam=1.3019316589872116
norm of the out-of-balance force: 6.1400e+04 with g= 1.6650e+02
norm of the out-of-balance force: 2.1989e+02 with g= -2.1883e+02
norm of the out-of-balance force: 1.5882e-01 with g= -1.4889e-01
norm of the out-of-balance force: 9.2326e-08 with g= -6.4625e-08
+
Last converged state stored at lam=1.3172356702934478
norm of the out-of-balance force: 6.1353e+04 with g= 1.7825e+02
norm of the out-of-balance force: 2.3255e+02 with g= -2.3157e+02
norm of the out-of-balance force: 1.7683e-01 with g= -1.6562e-01
norm of the out-of-balance force: 1.1387e-07 with g= -7.9965e-08
+
Last converged state stored at lam=1.3330705915021714
norm of the out-of-balance force: 6.1302e+04 with g= 1.9083e+02
norm of the out-of-balance force: 2.4614e+02 with g= -2.4521e+02
norm of the out-of-balance force: 1.9725e-01 with g= -1.8458e-01
norm of the out-of-balance force: 1.2813e-07 with g= -9.9109e-08
+
Last converged state stored at lam=1.3494550338847429
norm of the out-of-balance force: 6.1245e+04 with g= 2.0431e+02
norm of the out-of-balance force: 2.6070e+02 with g= -2.5983e+02
norm of the out-of-balance force: 2.2040e-01 with g= -2.0610e-01
norm of the out-of-balance force: 1.4224e-07 with g= -1.2315e-07
+
Last converged state stored at lam=1.3664084381908321
norm of the out-of-balance force: 6.1183e+04 with g= 2.1874e+02
norm of the out-of-balance force: 2.7632e+02 with g= -2.7551e+02
norm of the out-of-balance force: 2.4668e-01 with g= -2.3056e-01
norm of the out-of-balance force: 1.7935e-07 with g= -1.5396e-07
+
Last converged state stored at lam=1.383951118129262
norm of the out-of-balance force: 6.1115e+04 with g= 2.3421e+02
norm of the out-of-balance force: 2.9309e+02 with g= -2.9233e+02
norm of the out-of-balance force: 2.7654e-01 with g= -2.5838e-01
norm of the out-of-balance force: 2.0838e-07 with g= -1.9299e-07
+
Last converged state stored at lam=1.4021043056979414
norm of the out-of-balance force: 6.1041e+04 with g= 2.5080e+02
norm of the out-of-balance force: 3.1108e+02 with g= -3.1038e+02
norm of the out-of-balance force: 3.1049e-01 with g= -2.9004e-01
norm of the out-of-balance force: 2.6216e-07 with g= -2.4299e-07
+
Last converged state stored at lam=1.420890198485382
norm of the out-of-balance force: 6.0960e+04 with g= 2.6858e+02
norm of the out-of-balance force: 3.3041e+02 with g= -3.2975e+02
norm of the out-of-balance force: 3.4914e-01 with g= -3.2613e-01
norm of the out-of-balance force: 3.3046e-07 with g= -3.0689e-07
+
Last converged state stored at lam=1.4403320090621898
norm of the out-of-balance force: 6.0873e+04 with g= 2.8767e+02
norm of the out-of-balance force: 3.5118e+02 with g= -3.5056e+02
norm of the out-of-balance force: 3.9318e-01 with g= -3.6730e-01
norm of the out-of-balance force: 4.0910e-07 with g= -3.8886e-07
+
Last converged state stored at lam=1.4604540165771263
norm of the out-of-balance force: 6.0779e+04 with g= 3.0815e+02
norm of the out-of-balance force: 3.7350e+02 with g= -3.7293e+02
norm of the out-of-balance force: 4.4341e-01 with g= -4.1432e-01
norm of the out-of-balance force: 5.1886e-07 with g= -4.9434e-07
+
Last converged state stored at lam=1.4812816206678638
norm of the out-of-balance force: 6.0677e+04 with g= 3.3014e+02
norm of the out-of-balance force: 3.9750e+02 with g= -3.9697e+02
norm of the out-of-balance force: 5.0077e-01 with g= -4.6808e-01
norm of the out-of-balance force: 6.6100e-07 with g= -6.3058e-07
+
Last converged state stored at lam=1.5028413977917265
norm of the out-of-balance force: 6.0568e+04 with g= 3.5376e+02
norm of the out-of-balance force: 4.2333e+02 with g= -4.2283e+02
norm of the out-of-balance force: 5.6633e-01 with g= -5.2960e-01
norm of the out-of-balance force: 8.4809e-07 with g= -8.0673e-07
+
Last converged state stored at lam=1.5251611600759198
norm of the out-of-balance force: 6.0450e+04 with g= 3.7914e+02
norm of the out-of-balance force: 4.5112e+02 with g= -4.5066e+02
norm of the out-of-balance force: 6.4134e-01 with g= -6.0009e-01
norm of the out-of-balance force: 1.0867e-06 with g= -1.0351e-06
+
Last converged state stored at lam=1.5482700167796348
norm of the out-of-balance force: 6.0324e+04 with g= 4.0642e+02
norm of the out-of-balance force: 4.8105e+02 with g= -4.8063e+02
norm of the out-of-balance force: 7.2728e-01 with g= -6.8094e-01
norm of the out-of-balance force: 1.3887e-06 with g= -1.3321e-06
+
Last converged state stored at lam=1.5721984384519285
norm of the out-of-balance force: 6.0189e+04 with g= 4.3576e+02
norm of the out-of-balance force: 5.1330e+02 with g= -5.1290e+02
norm of the out-of-balance force: 8.2583e-01 with g= -7.7379e-01
norm of the out-of-balance force: 1.8063e-06 with g= -1.7196e-06
+
Last converged state stored at lam=1.5969783238588102
norm of the out-of-balance force: 6.0045e+04 with g= 4.6732e+02
norm of the out-of-balance force: 5.4806e+02 with g= -5.4769e+02
norm of the out-of-balance force: 9.3897e-01 with g= -8.8051e-01
norm of the out-of-balance force: 2.3334e-06 with g= -2.2257e-06
+
Last converged state stored at lam=1.6226430697401069
norm of the out-of-balance force: 5.9891e+04 with g= 5.0129e+02
norm of the out-of-balance force: 5.8554e+02 with g= -5.8521e+02
norm of the out-of-balance force: 1.0690e+00 with g= -1.0033e+00
norm of the out-of-balance force: 3.0364e-06 with g= -2.8890e-06
+
Last converged state stored at lam=1.6492276434411457
norm of the out-of-balance force: 5.9727e+04 with g= 5.3787e+02
norm of the out-of-balance force: 6.2599e+02 with g= -6.2568e+02
norm of the out-of-balance force: 1.2186e+00 with g= -1.1449e+00
norm of the out-of-balance force: 3.9465e-06 with g= -3.7603e-06
+
Last converged state stored at lam=1.676768658445449
norm of the out-of-balance force: 5.9553e+04 with g= 5.7727e+02
norm of the out-of-balance force: 6.6966e+02 with g= -6.6937e+02
norm of the out-of-balance force: 1.3910e+00 with g= -1.3081e+00
norm of the out-of-balance force: 5.1580e-06 with g= -4.9079e-06
+
Last converged state stored at lam=1.7053044528118269
norm of the out-of-balance force: 5.9368e+04 with g= 6.1972e+02
norm of the out-of-balance force: 7.1682e+02 with g= -7.1656e+02
norm of the out-of-balance force: 1.5897e+00 with g= -1.4966e+00
norm of the out-of-balance force: 6.7481e-06 with g= -6.4226e-06
+
Last converged state stored at lam=1.734875170492125
norm of the out-of-balance force: 5.9171e+04 with g= 6.6549e+02
norm of the out-of-balance force: 7.6779e+02 with g= -7.6755e+02
norm of the out-of-balance force: 1.8192e+00 with g= -1.7144e+00
norm of the out-of-balance force: 8.8510e-06 with g= -8.4271e-06
+
Last converged state stored at lam=1.7655228454734049
norm of the out-of-balance force: 5.8964e+04 with g= 7.1485e+02
norm of the out-of-balance force: 8.2290e+02 with g= -8.2268e+02
norm of the out-of-balance force: 2.0844e+00 with g= -1.9666e+00
norm of the out-of-balance force: 1.1654e-05 with g= -1.1086e-05
+
Last converged state stored at lam=1.7972914886498819
norm of the out-of-balance force: 5.8744e+04 with g= 7.6810e+02
norm of the out-of-balance force: 8.8253e+02 with g= -8.8233e+02
norm of the out-of-balance force: 2.3913e+00 with g= -2.2587e+00
norm of the out-of-balance force: 1.5374e-05 with g= -1.4623e-05
+
Last converged state stored at lam=1.8302271772847183
norm of the out-of-balance force: 5.8512e+04 with g= 8.2557e+02
norm of the out-of-balance force: 9.4707e+02 with g= -9.4688e+02
norm of the out-of-balance force: 2.7469e+00 with g= -2.5976e+00
norm of the out-of-balance force: 2.0324e-05 with g= -1.9337e-05
+
Last converged state stored at lam=1.8643781468686185
norm of the out-of-balance force: 5.8267e+04 with g= 8.8761e+02
norm of the out-of-balance force: 1.0170e+03 with g= -1.0168e+03
norm of the out-of-balance force: 3.1592e+00 with g= -2.9911e+00
norm of the out-of-balance force: 2.6938e-05 with g= -2.5637e-05
+
Last converged state stored at lam=1.8997948851201094
norm of the out-of-balance force: 5.8009e+04 with g= 9.5463e+02
norm of the out-of-balance force: 1.0927e+03 with g= -1.0926e+03
norm of the out-of-balance force: 3.6379e+00 with g= -3.4485e+00
norm of the out-of-balance force: 3.5806e-05 with g= -3.4074e-05
+
Last converged state stored at lam=1.9365302278005072
norm of the out-of-balance force: 5.7738e+04 with g= 1.0270e+03
norm of the out-of-balance force: 1.1748e+03 with g= -1.1747e+03
norm of the out-of-balance force: 4.1944e+00 with g= -3.9807e+00
norm of the out-of-balance force: 4.7685e-05 with g= -4.5400e-05
+
Last converged state stored at lam=1.9746394559331886
norm of the out-of-balance force: 5.7453e+04 with g= 1.1053e+03
norm of the out-of-balance force: 1.2639e+03 with g= -1.2638e+03
norm of the out-of-balance force: 4.8419e+00 with g= -4.6008e+00
norm of the out-of-balance force: 6.3705e-05 with g= -6.0642e-05
+
Reached the target load level after 78 steps
Total running time of the script: (0 minutes 4.904 seconds)