Note
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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=0.05, tolerance=1.0e-5)
# 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_3:
x: [0.000 0.000]
fix: ['ux', 'uy']
u: None
Node_4:
x: [250.000 0.000]
fix: ['ux', 'uy']
u: None
Node_5:
x: [0.000 250.000]
u: None
Node_6:
x: [250.000 250.000]
u: None
Node_7:
x: [0.000 500.000]
u: None
Node_8:
x: [250.000 500.000]
u: None
Node_9:
x: [0.000 750.000]
u: None
Node_10:
x: [250.000 750.000]
u: None
Node_11:
x: [0.000 1000.000]
u: None
Node_12:
x: [250.000 1000.000]
u: None
Node_13:
x: [0.000 1250.000]
u: None
Node_14:
x: [250.000 1250.000]
u: None
Node_15:
x: [0.000 1500.000]
u: None
Node_16:
x: [250.000 1500.000]
u: None
Node_17:
x: [0.000 1750.000]
u: None
Node_18:
x: [250.000 1750.000]
u: None
Node_19:
x: [0.000 2000.000]
u: None
Node_20:
x: [250.000 2000.000]
u: None
Node_21:
x: [0.000 2250.000]
u: None
Node_22:
x: [250.000 2250.000]
u: None
Node_23:
x: [0.000 2500.000]
u: None
Node_24:
x: [250.000 2500.000]
u: None
Node_25:
x: [0.000 2750.000]
u: None
Node_26:
x: [250.000 2750.000]
u: None
Node_27:
x: [0.000 3000.000]
u: None
Node_28:
x: [250.000 3000.000]
u: None
Node_29:
x: [0.000 3250.000]
u: None
Node_30:
x: [250.000 3250.000]
u: None
Node_31:
x: [0.000 3500.000]
u: None
Node_32:
x: [250.000 3500.000]
u: None
Node_33:
x: [0.000 3750.000]
u: None
Node_34:
x: [250.000 3750.000]
u: None
Node_35:
x: [0.000 4000.000]
u: None
Node_36:
x: [250.000 4000.000]
u: None
Node_37:
x: [0.000 4250.000]
u: None
Node_38:
x: [250.000 4250.000]
u: None
Node_39:
x: [0.000 4500.000]
u: None
Node_40:
x: [250.000 4500.000]
u: None
Node_41:
x: [0.000 4750.000]
u: None
Node_42:
x: [250.000 4750.000]
u: None
Node_43:
x: [0.000 5000.000]
P: [25.000 -3084.251]
u: None
Node_44:
x: [250.000 5000.000]
P: [25.000 -3084.251]
u: None
Elements:
---------------------
Truss: Node_3 to Node_5:
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_4 to Node_6:
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_3 to Node_6:
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_5 to Node_6:
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_5 to Node_7:
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_6 to Node_8:
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_5 to Node_8:
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_7 to Node_8:
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_7 to Node_9:
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_8 to Node_10:
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_7 to Node_10:
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_9 to Node_10:
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_9 to Node_11:
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_10 to Node_12:
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_9 to Node_12:
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_11 to Node_12:
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_11 to Node_13:
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_12 to Node_14:
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_11 to Node_14:
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_13 to Node_14:
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_13 to Node_15:
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_14 to Node_16:
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_13 to Node_16:
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_15 to Node_16:
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_15 to Node_17:
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_16 to Node_18:
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_15 to Node_18:
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_17 to Node_18:
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_17 to Node_19:
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_18 to Node_20:
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_17 to Node_20:
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_19 to Node_20:
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_19 to Node_21:
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_20 to Node_22:
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_19 to Node_22:
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_21 to Node_22:
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_21 to Node_23:
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_22 to Node_24:
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_21 to Node_24:
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_23 to Node_24:
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_23 to Node_25:
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_24 to Node_26:
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_23 to Node_26:
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_25 to Node_26:
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_25 to Node_27:
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_26 to Node_28:
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_25 to Node_28:
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_27 to Node_28:
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_27 to Node_29:
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_28 to Node_30:
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_27 to Node_30:
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_29 to Node_30:
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_29 to Node_31:
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_30 to Node_32:
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_29 to Node_32:
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_31 to Node_32:
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_31 to Node_33:
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_32 to Node_34:
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_31 to Node_34:
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_33 to Node_34:
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_33 to Node_35:
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_34 to Node_36:
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_33 to Node_36:
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_35 to Node_36:
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_35 to Node_37:
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_36 to Node_38:
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_35 to Node_38:
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_37 to Node_38:
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_37 to Node_39:
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_38 to Node_40:
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_37 to Node_40:
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_39 to Node_40:
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_39 to Node_41:
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_40 to Node_42:
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_39 to Node_42:
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_41 to Node_42:
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_41 to Node_43:
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_42 to Node_44:
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_41 to Node_44:
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_43 to Node_44:
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: 1.0363e+05 with g= 1.0360e+05
norm of the out-of-balance force: 2.9497e+06 with g= -2.9432e+06
norm of the out-of-balance force: 9.0874e+05 with g= -9.0874e+05
norm of the out-of-balance force: 2.6414e+05 with g= -2.5050e+05
norm of the out-of-balance force: 5.5371e+04 with g= -5.5371e+04
norm of the out-of-balance force: 1.8321e+04 with g= -1.7361e+04
norm of the out-of-balance force: 6.8030e+02 with g= -6.6844e+02
norm of the out-of-balance force: 1.0528e+02 with g= -1.0026e+02
norm of the out-of-balance force: 8.4259e-02 with g= -7.9390e-02
norm of the out-of-balance force: 8.6918e-07 with g= -8.2047e-07
+
Last converged state stored at lam=0.6280346367401158
norm of the out-of-balance force: 8.5783e+04 with g= 8.4501e+04
norm of the out-of-balance force: 3.6051e+05 with g= -3.5972e+05
norm of the out-of-balance force: 1.0694e+05 with g= -1.0694e+05
norm of the out-of-balance force: 1.4589e+04 with g= -1.3885e+04
norm of the out-of-balance force: 4.2371e+02 with g= -4.1763e+02
norm of the out-of-balance force: 2.0655e+01 with g= -2.0406e+01
norm of the out-of-balance force: 2.6205e-03 with g= -2.4947e-03
norm of the out-of-balance force: 5.6037e-08 with g= -1.3097e-10
+
Last converged state stored at lam=0.7981358096481004
norm of the out-of-balance force: 6.1297e+04 with g= 2.7526e+04
norm of the out-of-balance force: 3.8101e+04 with g= -3.8095e+04
norm of the out-of-balance force: 1.4372e+04 with g= -1.4371e+04
norm of the out-of-balance force: 4.5434e+02 with g= -4.2869e+02
norm of the out-of-balance force: 4.7155e-01 with g= -4.4311e-01
norm of the out-of-balance force: 2.6589e-05 with g= -2.6540e-05
norm of the out-of-balance force: 6.0833e-08 with g= -3.6380e-11
+
Last converged state stored at lam=0.8679203394704817
norm of the out-of-balance force: 7.2067e+04 with g= 4.6328e+03
norm of the out-of-balance force: 2.9024e+03 with g= -2.9020e+03
norm of the out-of-balance force: 3.4631e+02 with g= -3.4631e+02
norm of the out-of-balance force: 2.9346e-01 with g= -2.7681e-01
norm of the out-of-balance force: 1.9259e-07 with g= -1.7746e-07
+
Last converged state stored at lam=0.9031302868241629
norm of the out-of-balance force: 7.4808e+04 with g= 1.1794e+03
norm of the out-of-balance force: 7.0775e+02 with g= -7.0692e+02
norm of the out-of-balance force: 2.1895e+01 with g= -2.1895e+01
norm of the out-of-balance force: 1.1776e-03 with g= -1.1106e-03
norm of the out-of-balance force: 5.0937e-08 with g= -4.3656e-11
+
Last converged state stored at lam=0.9245436243844758
norm of the out-of-balance force: 7.5515e+04 with g= 4.3621e+02
norm of the out-of-balance force: 3.2151e+02 with g= -3.1972e+02
norm of the out-of-balance force: 3.6738e+00 with g= -3.6737e+00
norm of the out-of-balance force: 3.3237e-05 with g= -3.1350e-05
norm of the out-of-balance force: 4.6800e-08 with g= 5.0932e-11
+
Last converged state stored at lam=0.9392860242068801
norm of the out-of-balance force: 7.5774e+04 with g= 2.0676e+02
norm of the out-of-balance force: 2.0022e+02 with g= -1.9731e+02
norm of the out-of-balance force: 1.1889e+00 with g= -1.1888e+00
norm of the out-of-balance force: 3.4862e-06 with g= -3.2932e-06
+
Last converged state stored at lam=0.950380633864463
norm of the out-of-balance force: 7.5896e+04 with g= 1.1710e+02
norm of the out-of-balance force: 1.4994e+02 with g= -1.4601e+02
norm of the out-of-balance force: 5.7751e-01 with g= -5.7746e-01
norm of the out-of-balance force: 8.2964e-07 with g= -7.7936e-07
+
Last converged state stored at lam=0.9593205788849106
norm of the out-of-balance force: 7.5963e+04 with g= 7.6032e+01
norm of the out-of-balance force: 1.2554e+02 with g= -1.2081e+02
norm of the out-of-balance force: 3.5664e-01 with g= -3.5661e-01
norm of the out-of-balance force: 3.1815e-07 with g= -2.9802e-07
+
Last converged state stored at lam=0.9669272088793037
norm of the out-of-balance force: 7.6007e+04 with g= 5.5044e+01
norm of the out-of-balance force: 1.1250e+02 with g= -1.0719e+02
norm of the out-of-balance force: 2.5391e-01 with g= -2.5387e-01
norm of the out-of-balance force: 1.6448e-07 with g= -1.5137e-07
+
Last converged state stored at lam=0.9736899299402393
norm of the out-of-balance force: 7.6038e+04 with g= 4.3508e+01
norm of the out-of-balance force: 1.0514e+02 with g= -9.9424e+01
norm of the out-of-balance force: 1.9729e-01 with g= -1.9726e-01
norm of the out-of-balance force: 1.0992e-07 with g= -9.1675e-08
+
Last converged state stored at lam=0.9799189801452672
norm of the out-of-balance force: 7.6062e+04 with g= 3.6912e+01
norm of the out-of-balance force: 1.0092e+02 with g= -9.4941e+01
norm of the out-of-balance force: 1.6229e-01 with g= -1.6225e-01
norm of the out-of-balance force: 8.1470e-08 with g= -6.2179e-08
+
Last converged state stored at lam=0.9858210631561478
norm of the out-of-balance force: 7.6082e+04 with g= 3.3139e+01
norm of the out-of-balance force: 9.8588e+01 with g= -9.2460e+01
norm of the out-of-balance force: 1.3885e-01 with g= -1.3881e-01
norm of the out-of-balance force: 6.5360e-08 with g= -4.5668e-08
+
Last converged state stored at lam=0.9915397279537647
norm of the out-of-balance force: 7.6100e+04 with g= 3.1111e+01
norm of the out-of-balance force: 9.7497e+01 with g= -9.1295e+01
norm of the out-of-balance force: 1.2226e-01 with g= -1.2221e-01
norm of the out-of-balance force: 6.1174e-08 with g= -3.5539e-08
+
Last converged state stored at lam=0.9971782765088046
norm of the out-of-balance force: 7.6116e+04 with g= 3.0246e+01
norm of the out-of-balance force: 9.7276e+01 with g= -9.1059e+01
norm of the out-of-balance force: 1.1006e-01 with g= -1.1001e-01
norm of the out-of-balance force: 4.9054e-08 with g= -2.8911e-08
+
Last converged state stored at lam=1.0028134248053608
norm of the out-of-balance force: 7.6132e+04 with g= 3.0209e+01
norm of the out-of-balance force: 9.7709e+01 with g= -9.1522e+01
norm of the out-of-balance force: 1.0086e-01 with g= -1.0080e-01
norm of the out-of-balance force: 5.8669e-08 with g= -2.4367e-08
+
Last converged state stored at lam=1.0085037977151108
norm of the out-of-balance force: 7.6146e+04 with g= 3.0804e+01
norm of the out-of-balance force: 9.8666e+01 with g= -9.2544e+01
norm of the out-of-balance force: 9.3813e-02 with g= -9.3748e-02
norm of the out-of-balance force: 5.4741e-08 with g= -2.1144e-08
+
Last converged state stored at lam=1.0142954030302482
norm of the out-of-balance force: 7.6161e+04 with g= 3.1910e+01
norm of the out-of-balance force: 1.0007e+02 with g= -9.4038e+01
norm of the out-of-balance force: 8.8386e-02 with g= -8.8308e-02
norm of the out-of-balance force: 5.1684e-08 with g= -1.8894e-08
+
Last converged state stored at lam=1.0202252692123963
norm of the out-of-balance force: 7.6174e+04 with g= 3.3452e+01
norm of the out-of-balance force: 1.0186e+02 with g= -9.5949e+01
norm of the out-of-balance force: 8.4221e-02 with g= -8.4127e-02
norm of the out-of-balance force: 5.1014e-08 with g= -1.7160e-08
+
Last converged state stored at lam=1.026323928950765
norm of the out-of-balance force: 7.6188e+04 with g= 3.5383e+01
norm of the out-of-balance force: 1.0402e+02 with g= -9.8243e+01
norm of the out-of-balance force: 8.1080e-02 with g= -8.0966e-02
norm of the out-of-balance force: 3.8562e-08 with g= -1.5969e-08
+
Last converged state stored at lam=1.0326171558274193
norm of the out-of-balance force: 7.6201e+04 with g= 3.7677e+01
norm of the out-of-balance force: 1.0653e+02 with g= -1.0090e+02
norm of the out-of-balance force: 7.8794e-02 with g= -7.8655e-02
norm of the out-of-balance force: 5.5798e-08 with g= -1.5210e-08
+
Last converged state stored at lam=1.0391272051556617
norm of the out-of-balance force: 7.6214e+04 with g= 4.0318e+01
norm of the out-of-balance force: 1.0939e+02 with g= -1.0392e+02
norm of the out-of-balance force: 7.7251e-02 with g= -7.7078e-02
norm of the out-of-balance force: 4.5276e-08 with g= -1.4696e-08
+
Last converged state stored at lam=1.045873718158563
norm of the out-of-balance force: 7.6226e+04 with g= 4.3300e+01
norm of the out-of-balance force: 1.1259e+02 with g= -1.0729e+02
norm of the out-of-balance force: 7.6370e-02 with g= -7.6155e-02
norm of the out-of-balance force: 6.0739e-08 with g= -1.4188e-08
+
Last converged state stored at lam=1.0528743929462472
norm of the out-of-balance force: 7.6238e+04 with g= 4.6624e+01
norm of the out-of-balance force: 1.1614e+02 with g= -1.1101e+02
norm of the out-of-balance force: 7.6101e-02 with g= -7.5833e-02
norm of the out-of-balance force: 5.5554e-08 with g= -1.4279e-08
+
Last converged state stored at lam=1.0601454910631076
norm of the out-of-balance force: 7.6249e+04 with g= 5.0295e+01
norm of the out-of-balance force: 1.2006e+02 with g= -1.1511e+02
norm of the out-of-balance force: 7.6412e-02 with g= -7.6078e-02
norm of the out-of-balance force: 8.4113e-08 with g= -1.4428e-08
+
Last converged state stored at lam=1.0677022262519988
norm of the out-of-balance force: 7.6259e+04 with g= 5.4325e+01
norm of the out-of-balance force: 1.2435e+02 with g= -1.1959e+02
norm of the out-of-balance force: 7.7292e-02 with g= -7.6874e-02
norm of the out-of-balance force: 6.1628e-08 with g= -1.4830e-08
+
Last converged state stored at lam=1.0755590676626299
norm of the out-of-balance force: 7.6268e+04 with g= 5.8725e+01
norm of the out-of-balance force: 1.2904e+02 with g= -1.2446e+02
norm of the out-of-balance force: 7.8741e-02 with g= -7.8221e-02
norm of the out-of-balance force: 7.0836e-08 with g= -1.5209e-08
+
Last converged state stored at lam=1.0837299801463882
norm of the out-of-balance force: 7.6276e+04 with g= 6.3514e+01
norm of the out-of-balance force: 1.3414e+02 with g= -1.2975e+02
norm of the out-of-balance force: 8.0774e-02 with g= -8.0127e-02
norm of the out-of-balance force: 5.5455e-08 with g= -1.6194e-08
+
Last converged state stored at lam=1.092228617793945
norm of the out-of-balance force: 7.6283e+04 with g= 6.8711e+01
norm of the out-of-balance force: 1.3968e+02 with g= -1.3548e+02
norm of the out-of-balance force: 8.3419e-02 with g= -8.2617e-02
norm of the out-of-balance force: 4.7678e-08 with g= -1.7078e-08
+
Last converged state stored at lam=1.101068482410873
norm of the out-of-balance force: 7.6287e+04 with g= 7.4339e+01
norm of the out-of-balance force: 1.4569e+02 with g= -1.4167e+02
norm of the out-of-balance force: 8.6715e-02 with g= -8.5724e-02
norm of the out-of-balance force: 6.0317e-08 with g= -1.8450e-08
+
Last converged state stored at lam=1.1102630555121582
norm of the out-of-balance force: 7.6291e+04 with g= 8.0425e+01
norm of the out-of-balance force: 1.5220e+02 with g= -1.4836e+02
norm of the out-of-balance force: 9.0712e-02 with g= -8.9494e-02
norm of the out-of-balance force: 5.6486e-08 with g= -2.0056e-08
+
Last converged state stored at lam=1.1198259102118964
norm of the out-of-balance force: 7.6292e+04 with g= 8.6997e+01
norm of the out-of-balance force: 1.5923e+02 with g= -1.5558e+02
norm of the out-of-balance force: 9.5477e-02 with g= -9.3985e-02
norm of the out-of-balance force: 4.9256e-08 with g= -2.2195e-08
+
Last converged state stored at lam=1.1297708078046989
norm of the out-of-balance force: 7.6290e+04 with g= 9.4087e+01
norm of the out-of-balance force: 1.6683e+02 with g= -1.6336e+02
norm of the out-of-balance force: 1.0109e-01 with g= -9.9268e-02
norm of the out-of-balance force: 6.5819e-08 with g= -2.4596e-08
+
Last converged state stored at lam=1.140111782689436
norm of the out-of-balance force: 7.6287e+04 with g= 1.0173e+02
norm of the out-of-balance force: 1.7504e+02 with g= -1.7174e+02
norm of the out-of-balance force: 1.0763e-01 with g= -1.0543e-01
norm of the out-of-balance force: 5.2986e-08 with g= -2.7732e-08
+
Last converged state stored at lam=1.150863218446571
norm of the out-of-balance force: 7.6280e+04 with g= 1.0997e+02
norm of the out-of-balance force: 1.8389e+02 with g= -1.8077e+02
norm of the out-of-balance force: 1.1523e-01 with g= -1.1257e-01
norm of the out-of-balance force: 8.1433e-08 with g= -3.1585e-08
+
Last converged state stored at lam=1.1620399172588805
norm of the out-of-balance force: 7.6271e+04 with g= 1.1884e+02
norm of the out-of-balance force: 1.9345e+02 with g= -1.9049e+02
norm of the out-of-balance force: 1.2401e-01 with g= -1.2081e-01
norm of the out-of-balance force: 6.6180e-08 with g= -3.6180e-08
+
Last converged state stored at lam=1.173657164401578
norm of the out-of-balance force: 7.6258e+04 with g= 1.2839e+02
norm of the out-of-balance force: 2.0375e+02 with g= -2.0095e+02
norm of the out-of-balance force: 1.3412e-01 with g= -1.3029e-01
norm of the out-of-balance force: 7.5136e-08 with g= -4.1739e-08
+
Last converged state stored at lam=1.1857307891786966
norm of the out-of-balance force: 7.6241e+04 with g= 1.3868e+02
norm of the out-of-balance force: 2.1486e+02 with g= -2.1222e+02
norm of the out-of-balance force: 1.4573e-01 with g= -1.4118e-01
norm of the out-of-balance force: 7.5976e-08 with g= -4.8954e-08
+
Last converged state stored at lam=1.1982772234178323
norm of the out-of-balance force: 7.6221e+04 with g= 1.4975e+02
norm of the out-of-balance force: 2.2684e+02 with g= -2.2435e+02
norm of the out-of-balance force: 1.5906e-01 with g= -1.5366e-01
norm of the out-of-balance force: 9.0935e-08 with g= -5.7806e-08
+
Last converged state stored at lam=1.2113135584334895
norm of the out-of-balance force: 7.6196e+04 with g= 1.6167e+02
norm of the out-of-balance force: 2.3976e+02 with g= -2.3741e+02
norm of the out-of-balance force: 1.7433e-01 with g= -1.6796e-01
norm of the out-of-balance force: 1.0447e-07 with g= -6.8463e-08
+
Last converged state stored at lam=1.2248576012140837
norm of the out-of-balance force: 7.6166e+04 with g= 1.7451e+02
norm of the out-of-balance force: 2.5369e+02 with g= -2.5149e+02
norm of the out-of-balance force: 1.9184e-01 with g= -1.8433e-01
norm of the out-of-balance force: 1.0737e-07 with g= -8.2342e-08
+
Last converged state stored at lam=1.2389279304682732
norm of the out-of-balance force: 7.6131e+04 with g= 1.8834e+02
norm of the out-of-balance force: 2.6872e+02 with g= -2.6665e+02
norm of the out-of-balance force: 2.1189e-01 with g= -2.0310e-01
norm of the out-of-balance force: 1.2892e-07 with g= -9.9510e-08
+
Last converged state stored at lam=1.25354395307352
norm of the out-of-balance force: 7.6091e+04 with g= 2.0323e+02
norm of the out-of-balance force: 2.8493e+02 with g= -2.8298e+02
norm of the out-of-balance force: 2.3487e-01 with g= -2.2459e-01
norm of the out-of-balance force: 1.4778e-07 with g= -1.2127e-07
+
Last converged state stored at lam=1.2687259613977993
norm of the out-of-balance force: 7.6045e+04 with g= 2.1927e+02
norm of the out-of-balance force: 3.0241e+02 with g= -3.0060e+02
norm of the out-of-balance force: 2.6121e-01 with g= -2.4923e-01
norm of the out-of-balance force: 1.5853e-07 with g= -1.4867e-07
+
Last converged state stored at lam=1.28449519190911
norm of the out-of-balance force: 7.5993e+04 with g= 2.3656e+02
norm of the out-of-balance force: 3.2129e+02 with g= -3.1959e+02
norm of the out-of-balance force: 2.9141e-01 with g= -2.7749e-01
norm of the out-of-balance force: 2.1796e-07 with g= -1.8362e-07
+
Last converged state stored at lam=1.3008738854432695
norm of the out-of-balance force: 7.5933e+04 with g= 2.5520e+02
norm of the out-of-balance force: 3.4167e+02 with g= -3.4008e+02
norm of the out-of-balance force: 3.2607e-01 with g= -3.0994e-01
norm of the out-of-balance force: 2.3756e-07 with g= -2.2840e-07
+
Last converged state stored at lam=1.3178853494656724
norm of the out-of-balance force: 7.5867e+04 with g= 2.7530e+02
norm of the out-of-balance force: 3.6368e+02 with g= -3.6220e+02
norm of the out-of-balance force: 3.6588e-01 with g= -3.4723e-01
norm of the out-of-balance force: 3.1049e-07 with g= -2.8585e-07
+
Last converged state stored at lam=1.335554022634927
norm of the out-of-balance force: 7.5793e+04 with g= 2.9699e+02
norm of the out-of-balance force: 3.8746e+02 with g= -3.8608e+02
norm of the out-of-balance force: 4.1164e-01 with g= -3.9012e-01
norm of the out-of-balance force: 3.8305e-07 with g= -3.5960e-07
+
Last converged state stored at lam=1.3539055419538553
norm of the out-of-balance force: 7.5710e+04 with g= 3.2038e+02
norm of the out-of-balance force: 4.1317e+02 with g= -4.1189e+02
norm of the out-of-balance force: 4.6430e-01 with g= -4.3951e-01
norm of the out-of-balance force: 4.7527e-07 with g= -4.5540e-07
+
Last converged state stored at lam=1.3729668127747872
norm of the out-of-balance force: 7.5619e+04 with g= 3.4565e+02
norm of the out-of-balance force: 4.4097e+02 with g= -4.3978e+02
norm of the out-of-balance force: 5.2495e-01 with g= -4.9645e-01
norm of the out-of-balance force: 6.0873e-07 with g= -5.7972e-07
+
Last converged state stored at lam=1.3927660819101186
norm of the out-of-balance force: 7.5519e+04 with g= 3.7293e+02
norm of the out-of-balance force: 4.7105e+02 with g= -4.6994e+02
norm of the out-of-balance force: 5.9489e-01 with g= -5.6217e-01
norm of the out-of-balance force: 7.7750e-07 with g= -7.4154e-07
+
Last converged state stored at lam=1.4133330140847695
norm of the out-of-balance force: 7.5409e+04 with g= 4.0241e+02
norm of the out-of-balance force: 5.0360e+02 with g= -5.0258e+02
norm of the out-of-balance force: 6.7564e-01 with g= -6.3812e-01
norm of the out-of-balance force: 9.8984e-07 with g= -9.5366e-07
+
Last converged state stored at lam=1.4346987719534747
norm of the out-of-balance force: 7.5288e+04 with g= 4.3427e+02
norm of the out-of-balance force: 5.3887e+02 with g= -5.3792e+02
norm of the out-of-balance force: 7.6898e-01 with g= -7.2601e-01
norm of the out-of-balance force: 1.2881e-06 with g= -1.2326e-06
+
Last converged state stored at lam=1.4568960998918117
norm of the out-of-balance force: 7.5157e+04 with g= 4.6874e+02
norm of the out-of-balance force: 5.7708e+02 with g= -5.7621e+02
norm of the out-of-balance force: 8.7701e-01 with g= -8.2784e-01
norm of the out-of-balance force: 1.6707e-06 with g= -1.6003e-06
+
Last converged state stored at lam=1.479959411754736
norm of the out-of-balance force: 7.5014e+04 with g= 5.0602e+02
norm of the out-of-balance force: 6.1851e+02 with g= -6.1770e+02
norm of the out-of-balance force: 1.0022e+00 with g= -9.4599e-01
norm of the out-of-balance force: 2.1781e-06 with g= -2.0869e-06
+
Last converged state stored at lam=1.503924882779131
norm of the out-of-balance force: 7.4858e+04 with g= 5.4639e+02
norm of the out-of-balance force: 6.6345e+02 with g= -6.6271e+02
norm of the out-of-balance force: 1.1475e+00 with g= -1.0832e+00
norm of the out-of-balance force: 2.8515e-06 with g= -2.7333e-06
+
Last converged state stored at lam=1.5288305457867388
norm of the out-of-balance force: 7.4690e+04 with g= 5.9010e+02
norm of the out-of-balance force: 7.1224e+02 with g= -7.1156e+02
norm of the out-of-balance force: 1.3163e+00 with g= -1.2429e+00
norm of the out-of-balance force: 3.7586e-06 with g= -3.5950e-06
+
Last converged state stored at lam=1.5547163918195996
norm of the out-of-balance force: 7.4509e+04 with g= 6.3746e+02
norm of the out-of-balance force: 7.6523e+02 with g= -7.6460e+02
norm of the out-of-balance force: 1.5126e+00 with g= -1.4290e+00
norm of the out-of-balance force: 4.9744e-06 with g= -4.7478e-06
+
Last converged state stored at lam=1.5816244753107889
norm of the out-of-balance force: 7.4313e+04 with g= 6.8880e+02
norm of the out-of-balance force: 8.2282e+02 with g= -8.2225e+02
norm of the out-of-balance force: 1.7414e+00 with g= -1.6460e+00
norm of the out-of-balance force: 6.5879e-06 with g= -6.2948e-06
+
Last converged state stored at lam=1.6095990238577123
norm of the out-of-balance force: 7.4102e+04 with g= 7.4448e+02
norm of the out-of-balance force: 8.8545e+02 with g= -8.8492e+02
norm of the out-of-balance force: 2.0084e+00 with g= -1.8995e+00
norm of the out-of-balance force: 8.7740e-06 with g= -8.3781e-06
+
Last converged state stored at lam=1.6386865526218384
norm of the out-of-balance force: 7.3876e+04 with g= 8.0490e+02
norm of the out-of-balance force: 9.5360e+02 with g= -9.5312e+02
norm of the out-of-balance force: 2.3203e+00 with g= -2.1961e+00
norm of the out-of-balance force: 1.1733e-05 with g= -1.1192e-05
norm of the out-of-balance force: 4.7437e-08 with g= 1.4916e-10
+
Last converged state stored at lam=1.6689359833334734
norm of the out-of-balance force: 7.3634e+04 with g= 8.7049e+02
norm of the out-of-balance force: 1.0278e+03 with g= -1.0274e+03
norm of the out-of-balance force: 2.6852e+00 with g= -2.5435e+00
norm of the out-of-balance force: 1.5734e-05 with g= -1.5007e-05
norm of the out-of-balance force: 3.7106e-08 with g= -6.1846e-11
+
Last converged state stored at lam=1.7003987677674408
norm of the out-of-balance force: 7.3375e+04 with g= 9.4172e+02
norm of the out-of-balance force: 1.1087e+03 with g= -1.1083e+03
norm of the out-of-balance force: 3.1127e+00 with g= -2.9512e+00
norm of the out-of-balance force: 2.1180e-05 with g= -2.0195e-05
norm of the out-of-balance force: 6.5293e-08 with g= 1.3097e-10
+
Last converged state stored at lam=1.7331290156253278
norm of the out-of-balance force: 7.3098e+04 with g= 1.0191e+03
norm of the out-of-balance force: 1.1968e+03 with g= -1.1965e+03
norm of the out-of-balance force: 3.6142e+00 with g= -3.4300e+00
norm of the out-of-balance force: 2.8615e-05 with g= -2.7271e-05
norm of the out-of-balance force: 4.6432e-08 with g= -8.9130e-11
+
Last converged state stored at lam=1.7671836264285194
norm of the out-of-balance force: 7.2802e+04 with g= 1.1033e+03
norm of the out-of-balance force: 1.2930e+03 with g= -1.2927e+03
norm of the out-of-balance force: 4.2035e+00 with g= -3.9933e+00
norm of the out-of-balance force: 3.8789e-05 with g= -3.6955e-05
norm of the out-of-balance force: 5.4399e-08 with g= -5.8208e-11
+
Last converged state stored at lam=1.8026224251551055
norm of the out-of-balance force: 7.2488e+04 with g= 1.1948e+03
norm of the out-of-balance force: 1.3981e+03 with g= -1.3978e+03
norm of the out-of-balance force: 4.8969e+00 with g= -4.6570e+00
norm of the out-of-balance force: 5.2739e-05 with g= -5.0247e-05
norm of the out-of-balance force: 6.0319e-08 with g= -8.3674e-11
+
Last converged state stored at lam=1.8395083010845743
norm of the out-of-balance force: 7.2154e+04 with g= 1.2943e+03
norm of the out-of-balance force: 1.5128e+03 with g= -1.5125e+03
norm of the out-of-balance force: 5.7138e+00 with g= -5.4399e+00
norm of the out-of-balance force: 7.1966e-05 with g= -6.8547e-05
norm of the out-of-balance force: 5.9068e-08 with g= -1.4188e-10
+
Last converged state stored at lam=1.8779073492093503
norm of the out-of-balance force: 7.1800e+04 with g= 1.4027e+03
norm of the out-of-balance force: 1.6383e+03 with g= -1.6380e+03
norm of the out-of-balance force: 6.6776e+00 with g= -6.3647e+00
norm of the out-of-balance force: 9.8499e-05 with g= -9.3820e-05
norm of the out-of-balance force: 5.9103e-08 with g= -1.8190e-10
+
Last converged state stored at lam=1.9178890133886348
norm of the out-of-balance force: 7.1425e+04 with g= 1.5207e+03
norm of the out-of-balance force: 1.7755e+03 with g= -1.7753e+03
norm of the out-of-balance force: 7.8163e+00 with g= -7.4586e+00
norm of the out-of-balance force: 1.3526e-04 with g= -1.2883e-04
norm of the out-of-balance force: 4.3224e-08 with g= -1.0004e-10
+
Last converged state stored at lam=1.959526230213783
norm of the out-of-balance force: 7.1028e+04 with g= 1.6493e+03
norm of the out-of-balance force: 1.9258e+03 with g= -1.9256e+03
norm of the out-of-balance force: 9.1634e+00 with g= -8.7544e+00
norm of the out-of-balance force: 1.8629e-04 with g= -1.7745e-04
norm of the out-of-balance force: 5.7883e-08 with g= 1.0004e-10
+
Reached the target load level after 70 steps
Total running time of the script: (0 minutes 2.043 seconds)