def _compute_s(self):
"""
compute normalized curve length
"""
s = calculate_length(self.points)
self.length = s[-1]
self.s = s / s[-1]
def _compute_s(self):
"""
compute normalized curve length
"""
s = calculate_length(self._to_array())
self.smax = s[-1]
self.s = s/s[-1]
def _compute_s(self):
"""
compute normalized curve length
"""
s = calculate_length(self._to_array())
self.smax = s[-1]
self.s = s / s[-1]
def _compute_s(self):
"""
compute normalized curve length
"""
s = calculate_length(self.points)
self.length = s[-1]
self.ds = np.diff(s)
self.s = s/s[-1]
def read_blade_planform(filename):
"""
read a planform file with columns:
| s: normalized running length of blade
| x: x-coordinates of blade axis
| y: y-coordinates of blade axis
| z: z-coordinates of blade axis
| rot_x: x-rotation of blade axis
| rot_y: y-rotation of blade axis
| rot_z: z-rotation of blade axis
| chord: chord distribution
| rthick: relative thickness distribution
| p_le: pitch axis aft leading edge distribution
| dy: vertical offset of cross-section
parameters
----------
filename: str
path to file containing planform data
returns
-------
pf: dict
dictionary containing planform data normalized
to a span of 1.
"""
data = np.loadtxt(filename)
s = calculate_length(data[:, [0, 1, 2]])
pf = {}
pf['blade_length'] = data[-1, 2]
pf['s'] = s / s[-1]
pf['smax'] = s[-1]
pf['x'] = data[:, 0] / data[-1, 2]
pf['y'] = data[:, 1] / data[-1, 2]
pf['z'] = data[:, 2] / data[-1, 2]
pf['rot_x'] = data[:, 3]
pf['rot_y'] = data[:, 4]
pf['rot_z'] = data[:, 5]
pf['chord'] = data[:, 6] / data[-1, 2]
pf['rthick'] = data[:, 7]
pf['rthick'] /= pf['rthick'].max()
pf['athick'] = pf['rthick'] * pf['chord']
pf['p_le'] = data[:, 8]
try:
pf['dy'] = data[:, 9]
except:
pf['dy'] = np.zeros(data.shape[0])
return pf
def solve_nonlinear(self, params, unknowns, resids):
"""
aggregate results and integrate mass and mass moment using np.trapz.
"""
for i in range(self.nsec):
cname = 'cs_props%03d' % i
cs = params[cname]
unknowns['blade_beam_structure'][i, :] = cs
# offset chordwise position of x_cg, x_sh, and to half chord
unknowns['blade_beam_structure'][:, 2] += (
0.5 -
params['p_le_st']) * params['chord_st'] * params['blade_length']
unknowns['blade_beam_structure'][:, 6] += (
0.5 -
params['p_le_st']) * params['chord_st'] * params['blade_length']
unknowns['blade_beam_structure'][:, 17] += (
0.5 -
params['p_le_st']) * params['chord_st'] * params['blade_length']
# compute mass and mass moment
x = params['x_st'] * params['blade_length']
y = params['y_st'] * params['blade_length']
z = params['z_st'] * params['blade_length']
hub_radius = params['hub_radius']
s = calculate_length(np.array([x, y, z]).T)
unknowns['blade_beam_structure'][:, 0] = s
dm = unknowns['blade_beam_structure'][:, 1]
g = 9.81
# mass
m = np.trapz(dm, s)
unknowns['blade_mass'] = m
# mass moment
mm = np.trapz(g * dm * (z + hub_radius), s)
unknowns['blade_mass_moment'] = mm
print('blade mass %10.3f' % m)
for i in range(self.nsec):
cname = 'csprops_ref%03d' % i
cs = params[cname]
unknowns['blade_beam_csprops_ref'][i, :] = cs
for i in range(self.nsec):
unknowns['KStruct'][:, :, i] = params['k_matrix%03d' % i]
unknowns['MStruct'][:, :, i] = params['m_matrix%03d' % i]
def read_blade_planform(filename):
"""
read a planform file with columns:
| s: normalized running length of blade
| x: x-coordinates of blade axis
| y: y-coordinates of blade axis
| z: z-coordinates of blade axis
| rot_x: x-rotation of blade axis
| rot_y: y-rotation of blade axis
| rot_z: z-rotation of blade axis
| chord: chord distribution
| rthick: relative thickness distribution
| p_le: pitch axis aft leading edge distribution
parameters
----------
filename: str
path to file containing planform data
returns
-------
pf: dict
dictionary containing planform data normalized
to a span of 1.
"""
data = np.loadtxt(filename)
s = calculate_length(data[:, [0, 1, 2]])
pf = {}
pf['blade_length'] = data[-1, 2]
pf['s'] = s / s[-1]
pf['smax'] = s[-1]
pf['x'] = data[:, 0] / data[-1, 2]
pf['y'] = data[:, 1] / data[-1, 2]
pf['z'] = data[:, 2] / data[-1, 2]
pf['rot_x'] = data[:, 3]
pf['rot_y'] = data[:, 4]
pf['rot_z'] = data[:, 5]
pf['chord'] = data[:, 6] / data[-1, 2]
pf['rthick'] = data[:, 7]
pf['rthick'] /= pf['rthick'].max()
pf['athick'] = pf['rthick'] * pf['chord']
pf['p_le'] = data[:, 8]
return pf
def write_blade_planform(pf, filename):
"""
write a planform file with columns:
| s: normalized running length of blade
| x: x-coordinates of blade axis
| y: y-coordinates of blade axis
| z: z-coordinates of blade axis
| rot_x: x-rotation of blade axis
| rot_y: y-rotation of blade axis
| rot_z: z-rotation of blade axis
| chord: chord distribution
| rthick: relative thickness distribution
| p_le: pitch axis aft leading edge distribution
| dy: vertical offset of cross-section
parameters
----------
pf: dict
planform dictionary
filename: str
path to file containing planform data
"""
data = np.zeros((pf['x'].shape[0], 10))
s = calculate_length(data[:, [0, 1, 2]])
names = [
'x', 'y', 'z', 'rot_x', 'rot_y', 'rot_z', 'chord', 'rthick', 'p_le',
'dy'
]
for i, name in enumerate(names):
try:
data[:, i] = pf[name]
except:
print 'failed writing %s - assuming zeros' % name
data[:, i] = np.zeros(s.shape[0])
fid = open(filename, 'w')
exp_prec = 15 # exponential precesion
col_width = exp_prec + 10 # column width required for exp precision
header_full = '#'
header_full += ''.join([(hh + ' [%i]').center(col_width + 1) % i
for i, hh in enumerate(names)]) + '\n'
fid.write(header_full)
np.savetxt(fid, data)
def solve_nonlinear(self, params, unknowns, resids):
"""
aggregate results and integrate mass and mass moment using np.trapz.
"""
for i in range(self.nsec):
cname = 'cs_props%03d' % i
cs = params[cname]
unknowns['blade_beam_structure'][i, :] = cs
# offset chordwise position of x_cg, x_sh, and to half chord
unknowns['blade_beam_structure'][:, 2] += (0.5 - params['p_le_st']) * params['chord_st'] * params['blade_length']
unknowns['blade_beam_structure'][:, 6] += (0.5 - params['p_le_st']) * params['chord_st'] * params['blade_length']
unknowns['blade_beam_structure'][:, 17] += (0.5 - params['p_le_st']) * params['chord_st'] * params['blade_length']
# compute mass and mass moment
x = params['x_st'] * params['blade_length']
y = params['y_st'] * params['blade_length']
z = params['z_st'] * params['blade_length']
hub_radius = params['hub_radius']
s = calculate_length(np.array([x, y, z]).T)
unknowns['blade_beam_structure'][:, 0] = s
dm = unknowns['blade_beam_structure'][:, 1]
g = 9.81
# mass
m = np.trapz(dm, s)
unknowns['blade_mass'] = m
# mass moment
mm = np.trapz(g * dm * (z + hub_radius), s)
unknowns['blade_mass_moment'] = mm
print('blade mass %10.3f' % m)
for i in range(self.nsec):
cname = 'csprops_ref%03d' % i
cs = params[cname]
unknowns['blade_beam_csprops_ref'][i, :] = cs
for i in range(self.nsec):
unknowns['KStruct'][:,:,i] = params['k_matrix%03d' % i]
unknowns['MStruct'][:,:,i] = params['m_matrix%03d' % i]
def get_recorded_planform(db, coordinate):
data = db[coordinate]['Unknowns']
pf = {}
names = ['x', 'y', 'z', 'rot_x', 'rot_y', 'rot_z',
'chord', 'rthick', 'p_le']
for name in names:
try:
pf[name] = data[name]
except:
print '%s not found in database' % name
pf[name] = np.zeros(data['x'].shape[0])
s = calculate_length(np.array([pf['x'], pf['y'], pf['z']]).T)
pf['blade_length'] = pf['z'][-1]
pf['s'] = s / s[-1]
pf['smax'] = s[-1]
return pf
def solve_nonlinear(self, params, unknowns, resids):
"""
aggregate results and integrate mass and mass moment using np.trapz.
"""
for i in range(self.nsec):
cname = "cs_props%03d" % i
cs = params[cname]
unknowns["blade_beam_structure"][i, :] = cs
# offset chordwise position of x_cg, x_sh, and to half chord
unknowns["blade_beam_structure"][:, 2] += (
(0.5 - params["p_le_st"]) * params["chord_st"] * params["blade_length"]
)
unknowns["blade_beam_structure"][:, 6] += (
(0.5 - params["p_le_st"]) * params["chord_st"] * params["blade_length"]
)
unknowns["blade_beam_structure"][:, 17] += (
(0.5 - params["p_le_st"]) * params["chord_st"] * params["blade_length"]
)
# compute mass and mass moment
x = params["x_st"] * params["blade_length"]
y = params["y_st"] * params["blade_length"]
z = params["z_st"] * params["blade_length"]
hub_radius = params["hub_radius"]
s = calculate_length(np.array([x, y, z]).T)
unknowns["blade_beam_structure"][:, 0] = s
dm = unknowns["blade_beam_structure"][:, 1]
g = 9.81
# mass
m = np.trapz(dm, s)
unknowns["blade_mass"] = m
# mass moment
mm = np.trapz(g * dm * (z + hub_radius), s)
unknowns["blade_mass_moment"] = mm
print ("blade mass %10.3f" % m)
def get_recorded_planform(db, coordinate):
data = db[coordinate]['Unknowns']
pf = {}
names = [
'x', 'y', 'z', 'rot_x', 'rot_y', 'rot_z', 'chord', 'rthick', 'p_le'
]
for name in names:
try:
pf[name] = data[name]
except:
print '%s not found in database' % name
pf[name] = np.zeros(data['x'].shape[0])
s = calculate_length(np.array([pf['x'], pf['y'], pf['z']]).T)
pf['blade_length'] = pf['z'][-1]
pf['s'] = s / s[-1]
pf['smax'] = s[-1]
return pf
def read_blade_planform(filename):
data = np.loadtxt(filename)
s = calculate_length(data[:, [0, 1, 2]])
pf = BladePlanformVT()
pf.blade_length = data[-1, 2]
pf.s = s / s[-1]
pf.x = data[:, 0] / data[-1, 2]
pf.y = data[:, 1] / data[-1, 2]
pf.z = data[:, 2] / data[-1, 2]
pf.rot_x = data[:, 3]
pf.rot_y = data[:, 4]
pf.rot_z = data[:, 5]
pf.chord = data[:, 6] / data[-1, 2]
pf.rthick = data[:, 7]
pf.rthick /= pf.rthick.max()
pf.athick = pf.rthick * pf.chord
pf.p_le = data[:, 8]
return pf
def read_blade_planform(filename):
data = np.loadtxt(filename)
s = calculate_length(data[:, [0, 1, 2]])
pf = BladePlanformVT()
pf.blade_length = data[-1, 2]
pf.s = s / s[-1]
pf.x = data[:, 0] / data[-1, 2]
pf.y = data[:, 1] / data[-1, 2]
pf.z = data[:, 2] / data[-1, 2]
pf.rot_x = data[:, 3]
pf.rot_y = data[:, 4]
pf.rot_z = data[:, 5]
pf.chord = data[:, 6] / data[-1, 2]
pf.rthick = data[:, 7]
pf.rthick /= pf.rthick.max()
pf.athick = pf.rthick * pf.chord
pf.p_le = data[:, 8]
return pf
def write_blade_planform(pf, filename):
"""
write a planform file with columns:
| s: normalized running length of blade
| x: x-coordinates of blade axis
| y: y-coordinates of blade axis
| z: z-coordinates of blade axis
| rot_x: x-rotation of blade axis
| rot_y: y-rotation of blade axis
| rot_z: z-rotation of blade axis
| chord: chord distribution
| rthick: relative thickness distribution
| p_le: pitch axis aft leading edge distribution
parameters
----------
pf: dict
planform dictionary
filename: str
path to file containing planform data
"""
data = np.zeros((pf['x'].shape[0], 9))
s = calculate_length(data[:, [0, 1, 2]])
names = ['x', 'y', 'z', 'rot_x', 'rot_y', 'rot_z',
'chord', 'rthick', 'p_le']
for i, name in enumerate(names):
data[:, i] = pf[name]
fid = open(filename, 'w')
exp_prec = 15 # exponential precesion
col_width = exp_prec + 10 # column width required for exp precision
header_full = '#'
header_full += ''.join([(hh + ' [%i]').center(col_width + 1) % i
for i, hh in enumerate(names)]) + '\n'
fid.write(header_full)
np.savetxt(fid, data)
def solve_nonlinear(self, params, unknowns, resids):
s = calculate_length(np.array([params['x'],
params['y'],
params['z']]).T)
unknowns['blade_curve_length'] = s[-1]
from BISDEM.lib.vartrees import WingPlanformVT
from openmdao.main.api import Component
from openmdao.lib.datatypes.api import Float, List, Slot, File, FileRef
from fusedwind.turbine.geometry_vt import BeamGeometryVT, BladePlanformVT
from fusedwind.lib.geom_tools import calculate_length
from os.path import expanduser
home = expanduser("~")
surface = WingSurface()
beam = BeamGeometryVT()
beam.x = np.array([0, 0.0, -0.05]);
beam.y = np.array([0, -0.01, -0.02]);
beam.z = np.array([0, 0.1, 0.2]);
beam.s = calculate_length(np.array([beam.x, beam.y, beam.z]).T)
beam.rot_x = [0, 0, 0];
beam.rot_y = [0, 0, 0];
beam.rot_z = [0, 0, 0];
surface.eqspar_geom = [beam]
planform = WingPlanformVT();
planform.blade_length = .2;
planform.chord = [1, 1, 0.5];
planform.rthick = np.array([0.05, 0.05, 0.05]);
planform.p_le = [0.0, 0.0, 0.0];
surface.planform_in = [planform];
surface.airfoils = [home+'/git/BISDEM/data/ffaw3241.dat', home+'/git/BISDEM/data/ffaw3301.dat'];
surface.span_ni = 3;
def createEquivalentBeam(self):
"""
Takes the wing positions at every time step and creates an equivalent beam description
"""
# distance following the form of the wing
r_OC = np.linspace(0.0, self.wdef.front.OC, np.round(self.n*self.wdef.front.OC/(self.wdef.front.OC+self.wdef.front.CD)))
r_CD = np.linspace(0.0, self.wdef.front.CD, np.round(self.n*self.wdef.front.CD/(self.wdef.front.OC+self.wdef.front.CD))+1)
# calculate vector from O to C and from C to D for angular step of the mechanism
OCf_vec = (self.wpos.front.C-self.wpos.front.O).T
CDf_vec = (self.wpos.front.D-self.wpos.front.C).T
OCb_vec = (self.wpos.back.C-self.wpos.back.O).T
CDb_vec = (self.wpos.back.D-self.wpos.back.C).T
for ocf, cdf, ocb, cdb in zip(OCf_vec, CDf_vec, OCb_vec, CDb_vec):
# make unit vectors
ocf = ocf/np.linalg.norm(ocf)
cdf = cdf/np.linalg.norm(cdf)
ocb = ocb/np.linalg.norm(ocb)
cdb = cdb/np.linalg.norm(cdb)
# beam position
beam_pos = np.array([[0.0, 0.0, 0.0]])
for r in r_OC[1:]:
beam_pos = np.vstack((beam_pos, [ocf*r]))
# beam_pos[-1][2] = self.wpos.front.O[2][0]
for r in r_CD[1:]:
beam_pos = np.vstack((beam_pos, [beam_pos[len(r_OC)-1]+cdf*r]))
# beam_pos[-1][2] = self.wpos.front.O[2][0]
# put position into correct structure
beam = BeamGeometryVT()
beam.x = beam_pos.T[2]
beam.y = beam_pos.T[1]
beam.z = beam_pos.T[0]
# print beam_pos.T[2]
# beam twist
beam_pos_back = np.array([[0.0, 0.0, self.wpos.back.O[2][0]]])
z = np.array([0, 0, 1])
x = np.array([ocf])
for r in r_OC[1:]:
beam_pos_back = np.vstack((beam_pos_back, [ocb*r]))
# Assumption: no taper, no sweep
beam_pos_back[-1][2] = self.wpos.back.O[2][0]
#rot_x.append(np.rad2deg(np.arccos(np.dot(ocf, np.array([1, 0, 0]))/np.linalg.norm(ocf))))
z = np.vstack((z, [0, 0, 1]))
x = np.vstack((x, [ocf]))
for r in r_CD[1:]:
beam_pos_back = np.vstack((beam_pos_back, [beam_pos_back[len(r_OC)-1]+cdb*r]))
# Assumption: no taper, no sweep
# beam_pos_back[-1][2] = self.wpos.back.O[2][0]
#rot_x.append(np.rad2deg(np.arccos(np.dot(cdf, np.array([1, 0, 0]))/np.linalg.norm(cdf))))
z = np.vstack((z, [0, 0, 1]))
x = np.vstack((x, [cdf]))
y = np.cross(x, z)
y = y/((y*y).sum(axis=1)**0.5)[:, np.newaxis]
v = beam_pos-beam_pos_back
v_y = (v*y).sum(axis=1)
v_x = (v*x).sum(axis=1)
v_z = (v*z).sum(axis=1)
#v_z = beam_pos-beam_pos_back
#v_z[:,1] = np.zeros(len(v_z))
#v_z = v_z/((v_z*v_z).sum(axis=1)**0.5)[:,np.newaxis]
beam.rot_x = np.zeros(len(beam_pos.T[0])) #np.array(rot_x)
beam.rot_y = np.zeros(len(beam_pos.T[0])) #np.rad2deg(np.arctan((beam_pos.T[0]-beam_pos_back.T[0])/(beam_pos.T[2]-beam_pos_back.T[2])))
beam.rot_z = -np.rad2deg(np.arctan(v_y/v_z)) #np.sign(v[:,1])*np.rad2deg(np.arccos((v*v_z).sum(axis=1)/(v*v).sum(axis=1)**0.5)) # np.rad2deg(np.arctan((beam_pos.T[1]-beam_pos_back.T[1])/(beam_pos.T[2]-beam_pos_back.T[2])))
beam.s = calculate_length(np.array([beam.x, beam.y, beam.z]).T)
if (len(self.wpos.eqspar_geom) == 0):
print "v_y ", v_y
print "v_z ", v_z
print "rot_z ", beam.rot_z
# beam speed
if len(self.wpos.eqspar_geom)>0:
beam_previous = self.wpos.eqspar_geom[-1]
beam_previous.vel_x = (beam.x-beam_previous.x)/self.dt
beam_previous.vel_y = (beam.y-beam_previous.y)/self.dt
beam_previous.vel_z = (beam.z-beam_previous.z)/self.dt
self.wpos.eqspar_geom[-1] = beam_previous
self.wpos.eqspar_geom.append(beam)
self.wpos.eqspar_geom.pop()
def execute(self):
s = calculate_length(np.array([self.x, self.y, self.z]).T)
self.smax = s[-1]
def solve_nonlinear(self, params, unknowns, resids):
s = calculate_length(np.array([params["x"], params["y"], params["z"]]).T)
unknowns["blade_curve_length"] = s[-1]
def solve_nonlinear(self, params, unknowns, resids):
s = calculate_length(
np.array([params['x'], params['y'], params['z']]).T)
unknowns['blade_curve_length'] = s[-1]
