def __init__(self, length, radius, mass, spin, endmass):
self.length = length
self.radius = radius
self.mass = mass
self.spin = spin
self.endmass = endmass
Jx = mass * radius**2 / 2
self.bearing = Hinge('bearing', [0, 0, 1])
self.pivot = Hinge('pivot', [0, 1, 0])
self.offset = RigidConnection('offset', [-length / 2, 0, 0])
self.axis = Hinge('axis', [1, 0, 0])
self.body = UniformBeam('body',
length,
mass / length,
1,
1,
1,
Jx=Jx / 2) # /2 because added to both ends
self.endbody = RigidBody('end', endmass)
self.bearing.add_leaf(self.pivot)
self.pivot.add_leaf(self.offset)
self.offset.add_leaf(self.axis)
self.axis.add_leaf(self.body)
self.offset.add_leaf(self.endbody)
self.system = System(self.bearing)
# Prescribed DOF accelerations
self.system.prescribe(self.axis, acc=0.0) # constant rotational speed
self.system.prescribe(self.body, acc=0.0) # rigid beam
def __init__(self, length, radius, mass, spin):
self.length = length
self.radius = radius
self.mass = mass
self.spin = spin
x = np.linspace(0, length)
modes = linearisation.ModalRepresentation(
x=x,
shapes=np.zeros((len(x), 3, 0)),
rotations=np.zeros((len(x), 3, 0)),
density=np.ones_like(x) * mass / length,
mass_axis=np.zeros((len(x), 2)),
section_inertia=np.ones_like(x) * radius**2 / 4,
freqs=np.zeros((0, )),
)
self.bearing = Hinge('bearing', [0, 0, 1])
self.pivot = Hinge('pivot', [0, 1, 0])
self.axis = Hinge('axis', [1, 0, 0])
self.body = ModalElement('body', modes)
self.bearing.add_leaf(self.pivot)
self.pivot.add_leaf(self.axis)
self.axis.add_leaf(self.body)
self.system = System(self.bearing)
# Prescribed DOF accelerations
self.system.prescribe(self.axis.istrain,
0.0) # constant rotational speed
def __init__(self, length, radius, mass, endmass):
self.length = length
self.radius = radius
self.mass = mass
self.endmass = endmass
Jx = mass * radius**2 / 2
Jyz = mass * (3 * radius**2 + length**2) / 12
self.A = Jyz + endmass * (length / 2)**2
self.C = Jx
self.pivot = Hinge('pivot', [0, 1, 0])
self.offset = RigidConnection('offset', [0, 0, -length / 2])
self.axis = Hinge('axis', [0, 0, 1], rotmat_y(-np.pi / 2))
self.body = UniformBeam('body',
length,
mass / length,
1,
1,
1,
Jx=Jx / 2) # /2 because added to both ends
self.endoffset = RigidConnection('endoffset', [0, 0, length / 2])
self.endbody = RigidBody('end', endmass)
self.pivot.add_leaf(self.offset)
self.offset.add_leaf(self.axis)
self.axis.add_leaf(self.body)
self.pivot.add_leaf(self.endoffset)
self.endoffset.add_leaf(self.endbody)
self.system = System(self.pivot)
# Prescribed DOF accelerations
self.system.prescribe(self.axis, acc=0.0) # constant rotational speed
self.system.prescribe(self.body, acc=0.0) # rigid beam
def __init__(self, length, radius, mass, endmass):
self.length = length
self.radius = radius
self.mass = mass
self.endmass = endmass
Jz = radius**2 / 2
Jxy = (3 * radius**2 + length**2) / 12
inertia = mass * np.diag([Jxy, Jxy, Jz])
self.A = mass * Jxy + endmass * (length / 2)**2
self.C = mass * Jz
self.pivot = Hinge('pivot', [0, 1, 0])
self.axis = Hinge('axis', [0, 0, 1])
self.body = RigidBody('body', mass, inertia)
self.offset = RigidConnection('offset', [0, 0, length / 2])
self.endbody = RigidBody('end', endmass)
self.pivot.add_leaf(self.axis)
self.axis.add_leaf(self.body)
self.pivot.add_leaf(self.offset)
self.offset.add_leaf(self.endbody)
self.system = System(self.pivot)
# Prescribed DOF accelerations
self.system.prescribe(self.axis, acc=0.0) # constant rotational speed
def __init__(self, length, radius, mass, spin, endmass):
self.length = length
self.radius = radius
self.mass = mass
self.spin = spin
self.endmass = endmass
x = np.linspace(-length / 2, length / 2)
modes = linearisation.ModalRepresentation(
x=x,
shapes=np.zeros((len(x), 3, 0)),
rotations=np.zeros((len(x), 3, 0)),
density=np.ones_like(x) * mass / length,
mass_axis=np.zeros((len(x), 2)),
section_inertia=np.ones_like(x) * radius**2 / 4,
freqs=np.zeros((0, )),
)
self.bearing = Hinge('bearing', [0, 0, 1])
self.pivot = Hinge('pivot', [0, 1, 0])
self.axis = Hinge('axis', [0, 0, 1], rotmat_y(-np.pi / 2))
self.body = ModalElement('body', modes)
self.offset = RigidConnection('offset', [0, 0, length / 2])
self.endbody = RigidBody('end', endmass)
self.bearing.add_leaf(self.pivot)
self.pivot.add_leaf(self.axis)
self.axis.add_leaf(self.body)
self.pivot.add_leaf(self.offset)
self.offset.add_leaf(self.endbody)
self.system = System(self.bearing)
# Prescribed DOF accelerations
self.system.prescribe(self.axis, acc=0.0) # constant rotational speed
def __init__(self, length, radius, mass, spin):
self.length = length
self.radius = radius
self.mass = mass
self.spin = spin
Jx = mass * radius**2 / 2
self.bearing = Hinge('bearing', [0, 0, 1])
self.pivot = Hinge('pivot', [0, 1, 0])
self.axis = Hinge('axis', [1, 0, 0])
self.body = UniformBeam('body',
length,
mass / length,
1,
1,
1,
Jx=Jx / 2) # /2 because added to both ends
self.bearing.add_leaf(self.pivot)
self.pivot.add_leaf(self.axis)
self.axis.add_leaf(self.body)
self.system = System(self.bearing)
# Prescribed DOF accelerations
self.system.prescribe(self.axis.istrain,
0.0) # constant rotational speed
self.system.prescribe(self.body.istrain, 0.0) # rigid beam
def __init__(self, mode_source_file, root_length=0):
# Modal element using data from Bladed model
print "Loading modes from '%s'..." % mode_source_file
self.modes = ModalRepresentation.from_Bladed(mode_source_file)
self.bearing = Hinge('bearing', [0, 0, 1])
self.offset = RigidConnection('offset', [root_length, 0, 0])
self.blade = ModalElement('blade', self.modes)
self.bearing.add_leaf(self.offset)
self.offset.add_leaf(self.blade)
self.system = System(self.bearing)
# Prescribed DOF accelerations
self.system.prescribe(self.bearing.istrain, vel=0.0,
acc=0.0) # constant spin speed
def __init__(self, mode_source_file, root_length=0):
# Modal element using data from Bladed model
print "Loading modes from '%s'..." % mode_source_file
self.modes = ModalRepresentation.from_Bladed(mode_source_file)
Ry = rotmat_y(-pi / 2)
Rhb1 = rotmat_x(0 * 2 * pi / 3)
Rhb2 = rotmat_x(1 * 2 * pi / 3)
Rhb3 = rotmat_x(2 * 2 * pi / 3)
self.bearing = Hinge('bearing', [1, 0, 0])
root1 = RigidConnection('root1', root_length * np.dot(Rhb1, [0, 0, 1]),
dot(Rhb1, Ry))
root2 = RigidConnection('root2', root_length * np.dot(Rhb2, [0, 0, 1]),
dot(Rhb2, Ry))
root3 = RigidConnection('root3', root_length * np.dot(Rhb3, [0, 0, 1]),
dot(Rhb3, Ry))
self.blade1 = ModalElement('blade1', self.modes)
self.blade2 = ModalElement('blade2', self.modes)
self.blade3 = ModalElement('blade3', self.modes)
self.bearing.add_leaf(root1)
self.bearing.add_leaf(root2)
self.bearing.add_leaf(root3)
root1.add_leaf(self.blade1)
root2.add_leaf(self.blade2)
root3.add_leaf(self.blade3)
self.system = System(self.bearing)
# Prescribed DOF accelerations - constant rotor speed
self.system.prescribe(self.bearing.istrain, vel=0.0, acc=0.0)
# setup integrator
self.integ = Integrator(self.system, ('pos', 'vel'))
self.integ.add_output(dynamics.LoadOutput(self.bearing.iprox))
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(dynamics.LoadOutput(b.iprox, local=True))
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(
dynamics.CustomOutput(lambda s: b.station_positions()[-1],
label="{} tip defl".format(b)))
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(
dynamics.CustomOutput(lambda s: dot(b.Rp,
b.station_positions()[-1]),
label="{} tip pos".format(b)))
def __init__(self, mode_source_file, root_length=0, wind_table=None):
# Modal element using data from Bladed model
print "Loading modes from '%s'..." % mode_source_file
self.blade = Blade(mode_source_file)
self.modes = self.blade.modal_rep()
if wind_table is not None:
loading = BladeLoading(self.blade, wind_table, None)
else:
loading = None
Ry = rotmat_y(-pi/2)
Rhb1 = rotmat_x(0 * 2*pi/3)
Rhb2 = rotmat_x(1 * 2*pi/3)
Rhb3 = rotmat_x(2 * 2*pi/3)
self.bearing = Hinge('bearing', [1,0,0])
root1 = RigidConnection('root1', root_length*np.dot(Rhb1,[0,0,1]), dot(Rhb1,Ry))
root2 = RigidConnection('root2', root_length*np.dot(Rhb2,[0,0,1]), dot(Rhb2,Ry))
root3 = RigidConnection('root3', root_length*np.dot(Rhb3,[0,0,1]), dot(Rhb3,Ry))
self.blade1 = ModalElement('blade1', self.modes, loading)
self.blade2 = ModalElement('blade2', self.modes)
self.blade3 = ModalElement('blade3', self.modes)
self.bearing.add_leaf(root1)
self.bearing.add_leaf(root2)
self.bearing.add_leaf(root3)
root1.add_leaf(self.blade1)
root2.add_leaf(self.blade2)
root3.add_leaf(self.blade3)
self.system = System(self.bearing)
# Prescribed DOF accelerations - constant rotor speed
self.system.prescribe(self.bearing, vel=0.0, acc=0.0)
# setup integrator
self.integ = Integrator(self.system, ('pos','vel'))
self.integ.add_output(dynamics.LoadOutput(self.bearing.iprox))
self.integ.add_output(dynamics.LoadOutput(self.blade1.iprox, local=True))
self.integ.add_output(self.blade1.output_deflections())
self.integ.add_output(self.blade1.output_positions())
def __init__(self, length, radius, mass, endmass):
self.length = length
self.radius = radius
self.mass = mass
self.endmass = endmass
# corrected radius for lumped masses
mr = radius / np.sqrt(2)
root3 = np.sqrt(3)
self.A = 3 * (mass / 3) * mr**2 / 2 + endmass * (length / 2)**2
self.C = 3 * (mass / 3) * mr**2
self.pivot = Hinge('pivot', [0, 1, 0])
self.axis = Hinge('axis', [0, 0, 1])
self.arm1 = RigidConnection('arm1', [mr, 0, 0])
self.arm2 = RigidConnection('arm2', [-mr / 2, mr * root3 / 2, 0])
self.arm3 = RigidConnection('arm3', [-mr / 2, -mr * root3 / 2, 0])
self.body = RigidBody('body', mass / 3)
self.body2 = RigidBody('body2', mass / 3)
self.body3 = RigidBody('body3', mass / 3)
self.offset = RigidConnection('offset', [0, 0, length / 2])
self.endbody = RigidBody('end', endmass)
self.pivot.add_leaf(self.axis)
self.axis.add_leaf(self.arm1)
self.axis.add_leaf(self.arm2)
self.axis.add_leaf(self.arm3)
self.arm1.add_leaf(self.body)
self.arm2.add_leaf(self.body2)
self.arm3.add_leaf(self.body3)
self.pivot.add_leaf(self.offset)
self.offset.add_leaf(self.endbody)
self.system = System(self.pivot)
# Prescribed DOF accelerations
self.system.prescribe(self.axis, acc=0.0) # constant rotational speed
def __init__(self, length, radius, mass, spin):
self.length = length
self.radius = radius
self.mass = mass
self.spin = spin
Jx = radius**2 / 2
Jyz = (3 * radius**2 + length**2) / 12
Jyz_0 = Jyz + (length / 2)**2 # parallel axis theorem
inertia = mass * np.diag([Jx, Jyz_0, Jyz_0])
self.bearing = Hinge('bearing', [0, 0, 1])
self.pivot = Hinge('pivot', [0, 1, 0])
self.axis = Hinge('axis', [1, 0, 0])
self.body = RigidBody('body', mass, inertia, [length / 2, 0, 0])
self.bearing.add_leaf(self.pivot)
self.pivot.add_leaf(self.axis)
self.axis.add_leaf(self.body)
self.system = System(self.bearing)
# Prescribed DOF accelerations
self.system.prescribe(self.axis, acc=0.0) # constant rotational speed
def __init__(self, bladed_file, root_length=0):
# Load modes but use a simple flapped blade
print "Loading modes from '%s'..." % bladed_file
self.blade = Blade(bladed_file)
self.tower = Tower(bladed_file)
self.modes = self.blade.modal_rep()
# Calculate equivalent blade properties
I1 = self.modes.I0[0]
I2 = self.modes.J0[0, 0]
print I1, I2
wflap = self.modes.freqs[0]
bmass = self.modes.mass
inertia = self.modes.inertia_tensor(np.zeros(len(self.modes.freqs)))
Xc = [I1 / bmass, 0, 0]
kflap = I2 * wflap**2
Ry = rotmat_y(-pi / 2)
Rhb1 = rotmat_x(0 * 2 * pi / 3)
Rhb2 = rotmat_x(1 * 2 * pi / 3)
Rhb3 = rotmat_x(2 * 2 * pi / 3)
self.base = FreeJoint('base')
self.towerlink = RigidConnection('tower', [0, 0, self.tower.hubheight])
self.bearing = Hinge('bearing', [1, 0, 0])
root1 = RigidConnection('root1', root_length * np.dot(Rhb1, [0, 0, 1]),
dot(Rhb1, Ry))
root2 = RigidConnection('root2', root_length * np.dot(Rhb2, [0, 0, 1]),
dot(Rhb2, Ry))
root3 = RigidConnection('root3', root_length * np.dot(Rhb3, [0, 0, 1]),
dot(Rhb3, Ry))
self.flap1 = Hinge('flap1', [0, 1, 0])
self.flap2 = Hinge('flap2', [0, 1, 0])
self.flap3 = Hinge('flap3', [0, 1, 0])
self.blade1 = RigidBody('blade1', bmass, inertia, Xc)
self.blade2 = RigidBody('blade2', bmass, inertia, Xc)
self.blade3 = RigidBody('blade3', bmass, inertia, Xc)
self.flap1.stiffness = self.flap2.stiffness = self.flap3.stiffness = kflap
self.base.add_leaf(self.towerlink)
self.towerlink.add_leaf(self.bearing)
self.bearing.add_leaf(root1)
self.bearing.add_leaf(root2)
self.bearing.add_leaf(root3)
root1.add_leaf(self.flap1)
root2.add_leaf(self.flap2)
root3.add_leaf(self.flap3)
self.flap1.add_leaf(self.blade1)
self.flap2.add_leaf(self.blade2)
self.flap3.add_leaf(self.blade3)
self.system = System(self.base)
# Prescribed DOF accelerations - constant rotor speed
self.base_motion = None
self.base_motion_amp = 0
self.system.prescribe(self.bearing, vel=0)
self.system.prescribe(self.base, vel=0)
# setup integrator
self.integ = Integrator(self.system, ('pos', 'vel', 'acc'))
self.integ.add_output(dynamics.LoadOutput(self.base.iprox))
self.integ.add_output(dynamics.LoadOutput(self.towerlink.iprox))
self.integ.add_output(
dynamics.LoadOutput(self.bearing.iprox, local=True))
self.integ.add_output(
dynamics.LoadOutput(self.bearing.idist[0], local=True))
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(dynamics.LoadOutput(b.iprox, local=True))
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(
dynamics.NodeOutput(b.iprox, local=True, deriv=2))
#loading = PointLoading(blade, wind_table, None)
thrust_time = [0, 1, 2, 10]
thrust_force = [0, 0, 10e3, 10e3]
thrust = np.c_[thrust_force, np.zeros((4, 2))].T
loadfunc = scipy.interpolate.interp1d(thrust_time, thrust)
# Modal element
base = RigidConnection('base', rotation=rotmat_y(-np.pi / 2))
el = ModalElement('el', modes, distal=True, damping_freqs=[8.269, 10.248])
rna = RigidBody('rna',
24000,
np.diag([6400003, 6400003, 4266667]),
nodal_load=loadfunc)
base.add_leaf(el)
el.add_leaf(rna)
system = System(base)
integ = Integrator(system)
integ.add_output(el.output_deflections())
integ.add_output(el.output_rotations())
integ.add_output(dynamics.LoadOutput(rna.iprox))
linsys = LinearisedSystem(system)
def ani_xy(s, t, y):
return dynvis.anim(s, t, y, (0, 1), (-5, 45), (-5, 5), velocities=False)
def ani_xz(s, t, y):
return dynvis.anim(s, t, y, (0, 2), (-5, 45), (-5, 5), velocities=False)
print "Loading modes from '%s'..." % bladedpath
modes = ModalRepresentation.from_Bladed(bladedpath + '.$pj')
rotorspeed = 10 * np.pi / 30 # 10 rpm
overhang = 1 # 1m
# Modal element
yaw = Hinge('yaw', [0, 0, 1])
overhang = RigidConnection('overhang', [-overhang, 0, 0])
bearing = Hinge('bearing', [1, 0, 0],
np.dot(rotmat_y(-np.pi / 2), rotmat_x(-np.pi / 2)))
el = ModalElement('el', modes)
yaw.add_leaf(overhang)
overhang.add_leaf(bearing)
bearing.add_leaf(el)
system = System(yaw)
# Prescribe rotation speed
system.prescribe(bearing.istrain, 0.0)
system.qd[bearing.istrain] = rotorspeed
# Prescribed yaw angle
acc_period = 0.1
yaw_time1 = 3.0
yaw_time2 = 6.0
dvyaw = 10 * np.pi / 180
system.prescribe(yaw.istrain,
acc=lambda t: (t>=yaw_time1 and t<(yaw_time1+acc_period)) and dvyaw/acc_period or 0 +\
(t>yaw_time2 and t<=(yaw_time2+acc_period)) and -dvyaw/acc_period or 0)
system.find_equilibrium()
b1 = EulerBeam('b1',blade_length, 250, 1000e6, EIy, EIz, 200e6)
b2 = EulerBeam('b2',blade_length, 250, 1000e6, EIy, EIz, 200e6)
b3 = EulerBeam('b3',blade_length, 250, 1000e6, EIy, EIz, 200e6)
tower.damping = 0.05
foundation.add_leaf(tower)
tower.add_leaf(nacelle)
nacelle.add_leaf(bearing)
bearing.add_leaf(hb1)
bearing.add_leaf(hb2)
bearing.add_leaf(hb3)
hb1.add_leaf(b1)
hb2.add_leaf(b2)
hb3.add_leaf(b3)
system = System(foundation)
def thrust(xp, xd, xstrain, vp, vd, vstrain):
f = zeros(NQD * 2)
f[6] = -70000
return f
def test1():
# Initial conditions
system.qd[bearing.istrain[0]] = -10 * pi/180
# Prescribed DOFs
#system.prescribe(foundation.istrain, 0.0)
system.prescribe(tower.istrain, 0.0)
system.prescribe(bearing.istrain, 0.0)
system.prescribe(b1.istrain, 0.0)
def __init__(self, bladed_file, root_length=0, rigid=False):
# Modal element using data from Bladed model
print "Loading modes from '%s'..." % bladed_file
self.blade = Blade(bladed_file)
self.tower = Tower(bladed_file)
self.modes = self.blade.modal_rep()
Ry = rotmat_y(-pi / 2)
Rhb1 = rotmat_x(0 * 2 * pi / 3)
Rhb2 = rotmat_x(1 * 2 * pi / 3)
Rhb3 = rotmat_x(2 * 2 * pi / 3)
self.base = FreeJoint('base')
self.towerlink = RigidConnection('tower', [0, 0, self.tower.hubheight])
self.bearing = Hinge('bearing', [1, 0, 0])
root1 = RigidConnection('root1', root_length * np.dot(Rhb1, [0, 0, 1]),
dot(Rhb1, Ry))
root2 = RigidConnection('root2', root_length * np.dot(Rhb2, [0, 0, 1]),
dot(Rhb2, Ry))
root3 = RigidConnection('root3', root_length * np.dot(Rhb3, [0, 0, 1]),
dot(Rhb3, Ry))
self.blade1 = ModalElement('blade1', self.modes)
self.blade2 = ModalElement('blade2', self.modes)
self.blade3 = ModalElement('blade3', self.modes)
self.base.add_leaf(self.towerlink)
self.towerlink.add_leaf(self.bearing)
self.bearing.add_leaf(root1)
self.bearing.add_leaf(root2)
self.bearing.add_leaf(root3)
root1.add_leaf(self.blade1)
root2.add_leaf(self.blade2)
root3.add_leaf(self.blade3)
self.system = System(self.base)
# Prescribed DOF accelerations - constant rotor speed
self.base_motion = None
self.base_motion_amp = 0
self.system.prescribe(self.bearing, vel=0)
self.system.prescribe(self.base, vel=0)
if rigid:
for b in (self.blade1, self.blade2, self.blade3):
self.system.prescribe(b, vel=0)
# setup integrator
self.integ = Integrator(self.system, ('pos', 'vel', 'acc'))
self.integ.add_output(dynamics.LoadOutput(self.base.iprox))
self.integ.add_output(dynamics.LoadOutput(self.towerlink.iprox))
self.integ.add_output(
dynamics.LoadOutput(self.bearing.iprox, local=True))
self.integ.add_output(
dynamics.LoadOutput(self.bearing.idist[0], local=True))
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(dynamics.LoadOutput(b.iprox, local=True))
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(b.output_deflections())
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(b.output_positions())
for b in (self.blade1, self.blade2, self.blade3):
self.integ.add_output(
dynamics.NodeOutput(b.iprox, local=True, deriv=2))
import numpy as np
from scipy.linalg import eig
import matplotlib.pyplot as plt
import dynamics
from dynamics import System, ModalElement, solve_system
from linearisation import LinearisedSystem, ModalRepresentation
import dynvis
dynamics.gravity = 0
# Modal element using data from Bladed model
print "Loading modes from 'demo_a.prj'..."
modes = ModalRepresentation.from_Bladed('demo_a_simplified.prj')
el = ModalElement('el', modes)
system = System(el)
# Linearise system and find modes - should match with original
print "Linearising..."
linsys = LinearisedSystem(system)
w, v = eig(linsys.K, linsys.M)
order = np.argsort(w)
w = np.sqrt(np.real(w[order]))
f = w / 2 / np.pi
v = v[:, order]
# Check that modes come out matching what went in
assert np.allclose(modes.freqs, w), "Linearised freqs should match"
ventries = np.nonzero(abs(v) > 1e-2)[0]
assert len(ventries) == len(w) and (ventries == np.arange(4)).all(), \
"Modes should be orthogonal"
# Options
dynamics.OPT_GRAVITY = True
dynamics.OPT_GEOMETRIC_STIFFNESS = False
# Create model
bladed_file = r'C:\Users\Rick Lupton\Dropbox\phd\Bladed\Models\OC3-Hywind_SparBuoy_NREL5MW.prj'
print "Loading modes from '%s'..." % bladed_file
towerdef = Tower(bladed_file)
modes = towerdef.modal_rep()
endmass = 100000
endinertia = 100
el1 = ModalElement('el', modes, distal=False)
system1 = System(el1)
el2 = ModalElement('el', modes, distal=True)
body = RigidBody('body', endmass, inertia=endinertia * np.eye(3))
el2.add_leaf(body)
system2 = System(el2)
integ1 = Integrator(system1)
integ1.add_output(el1.output_positions())
integ2 = Integrator(system2, outputs=('pos', 'vel', 'acc'))
integ2.add_output(el2.output_positions())
integ2.add_output(dynamics.NodeOutput(body.iprox))
integ2.add_output(dynamics.NodeOutput(body.iprox, deriv=2))
integ2.add_output(dynamics.LoadOutput(body.iprox))
integ2.add_output(dynamics.StrainOutput(el2.imult))
modes = ModalRepresentation.from_Bladed(path_damped+'.$pj')
print "Loading modes from '%s'..." % path_undamped
modes0 = ModalRepresentation.from_Bladed(path_undamped+'.$pj')
# Blade loading
wind_table = np.array([
[0, 1, 2, 10], # time
[0, 0, 0, 0 ], # x
[0, 0, 20, 20], # y
[0, 0, 0, 0 ], # z
])
loading = BladeLoading(modes.x, wind_table, None)
# Modal element
el = ModalElement('el', modes, loading)
system = System(el)
el0 = ModalElement('el0', modes0, loading)
system0 = System(el0)
integ = Integrator(system)
integ0 = Integrator(system0)
integ.add_output(el.output_positions(stations=[16,32]))
integ0.add_output(el0.output_positions(stations=[16,32]))
#def simulate(system, t1=2.0, dt=0.005):
# Load Bladed data for comparison
import pybladed.data
brun = pybladed.data.BladedRun(path_damped)
bladed_defl = np.c_[
brun.get('blade 1 x-deflection;2'),
some demographic stuff
demo = initial total population of each node
tot_pop total population of the graph
then the dynamical system is initialized with the varaible F
avg_population will be used in the evolution as an "escape parameter" in the markov process
see dynamics.py
"""
demo = np.sum(Z0, 1).astype(int)
tot_pop = np.sum(demo)
avg_pop = tot_pop / communities
print("Total initial populaiton: ", tot_pop)
F = System(Z0)
print(" ========= NET =========")
"""
this section builds the network matrix containing the weights
they are initialized randomly with uniform distribution
and then normalized in the tranport.py file in order to build the transport process
network is a sparse scipy matrix, the networkx stuff is just for visualization
see mat.py
"""
#network = random_network(communities,6000)
network = scale_free_network(communities)
G = nx.Graph(network)
