def PositionWRT(xyz, cid, cid_new, model, is_cid_int=None):
"""
Gets the location of the GRID which started in some arbitrary system and
returns it in the desired coordinate system
Parameters
----------
xyz : (3, ) float ndarray
the position of the GRID in an arbitrary coordinate system
cid : int
the coordinate ID for xyz
cid_new : int
the desired coordinate ID
model : BDF()
the BDF model object
is_cid_int : bool
is cid/cid_new an integer or a Coord object (deprecated)
Returns
-------
xyz_local : (3, ) float ndarray
the position of the GRID in an arbitrary coordinate system
"""
if is_cid_int is not None: # pragma: no cover
deprecated('PositionWRT(xyz, cid, cid_new, model, is_cid_int=%s)' % is_cid_int,
'PositionWRT(xyz, cid, cid_new, model)', '1.2',
levels=[-1])
if cid == cid_new: # same coordinate system
return xyz
cp_ref = _coord(model, cid)
coord_to_ref = _coord(model, cid_new)
if 0: # pragma: no cover
# pGlobal = pLocal1 * beta1 + porigin1
# pGlobal = pLocal2 * beta2 + porigin2
# pLocal1 * beta1 + porigin1 = pLocal2 * beta2 + porigin2
# plocal1 * beta1 + porigin1 - porigin2 = plocal2 * beta2
# (plocal1 * beta1 + porigin1 - porigin2) * beta2.T = plocal2
# convert R-Theta-Z_1 to xyz_1
p1_local = cp_ref.coord_to_xyz(xyz)
# transform xyz_1 to xyz_2
p2_local = dot(
dot(p1_local, cp_ref.beta()) + cp_ref.origin - coord_to_ref.origin,
coord_to_ref.beta().T)
# convert xyz_2 to R-Theta-Z_2
xyz_local = coord_to_ref.xyz_to_coord(p2_local)
else:
# converting the xyz point arbitrary->global
xyz_global = cp_ref.transform_node_to_global(xyz)
# now converting it to the output coordinate system
xyz_local = coord_to_ref.transform_node_to_local(xyz_global)
return xyz_local
def Position(xyz, cid, model, is_cid_int=None):
"""
Gets the point in the global XYZ coordinate system.
Parameters
----------
xyz : (3,) ndarray
the position of the GRID in an arbitrary coordinate system
cid : int
the coordinate ID for xyz
model : BDF()
the BDF model object
is_cid_int : bool
is cid/cid_new an integer or a Coord object (deprecated)
Returns
-------
xyz2 : (3,) ndarray
the position of the GRID in an arbitrary coordinate system
"""
if is_cid_int is not None: # pragma: no cover
deprecated('Position(xyz, cid, model, is_cid_int=%s)' % is_cid_int,
'Position(xyz, cid, model)', '1.2',
levels=[-1])
cp_ref = _coord(model, cid)
xyz2 = cp_ref.transform_node_to_global(xyz)
return xyz2
def make_symmetric_model(bdf_filename,
plane: str = 'xz',
zero_tol: float = 1e-12,
log=None,
debug: bool = True):
log = get_logger2(log=log, debug=debug, encoding='utf-8')
deprecated('make_symmetric_model',
'make_half_model',
'1.3',
levels=[0, 1, 2])
return make_half_model(bdf_filename,
plane=plane,
zero_tol=zero_tol,
log=log,
debug=debug)
def deprecated(self, old_name, new_name, deprecated_version):
# type: (str, str, str) -> None
"""deprecates methods"""
return deprecated(old_name,
new_name,
deprecated_version,
levels=[0, 1, 2])
def TransformLoadWRT(F, M, cid, cid_new, model, is_cid_int=None):
"""
Transforms a force/moment from an arbitrary coordinate system to another
coordinate system.
Parameters
----------
Fxyz : (3, ) float ndarray
the force in an arbitrary coordinate system
Mxyz : (3, ) float ndarray
the moment in an arbitrary coordinate system
cid : int
the coordinate ID for xyz
cid_new : int
the desired coordinate ID
model : BDF()
the BDF model object
is_cid_int : bool
is cid/cid_new an integer or a Coord object (deprecated)
Returns
-------
Fxyz_local : (3, ) float ndarray
the force in an arbitrary coordinate system
Mxyz_local : (3, ) float ndarray
the force in an arbitrary coordinate system
"""
if is_cid_int is not None: # pragma: no cover
deprecated('TransformLoadWRT(F, M, cid, cid_new, model, is_cid_int=%s)' % is_cid_int,
'TransformLoadWRT(F, M, cid, cid_new, model)', '1.2',
levels=[-1])
if cid == cid_new: # same coordinate system
return F, M
# find the vector r for doing:
# M = r x F
cp_ref = _coord(model, cid)
coord_to_ref = _coord(model, cid_new)
r = cp_ref.origin - coord_to_ref.origin
# change R-theta-z to xyz
Fxyz_local_1 = cp_ref.coord_to_xyz(F)
Mxyz_local_1 = cp_ref.coord_to_xyz(M)
# pGlobal = pLocal1 * beta1 + porigin1
# pGlobal = pLocal2 * beta2 + porigin2
# pLocal1 * beta1 + porigin1 = pLocal2 * beta2 + porigin2
# plocal1 * beta1 + porigin1 - porigin2 = plocal2 * beta2
# (plocal1 * beta1 + porigin1 - porigin2) * beta2.T = plocal2
#
# origin transforms only apply to nodes, so...
# Fglobal = Flocal1 * beta1
# Flocal2 = (Flocal1 * beta1) * beta2.T
Fxyz_global = dot(Fxyz_local_1, cp_ref.beta())
Fxyz_local_2 = dot(dot(Fxyz_local_1, cp_ref.beta()), coord_to_ref.beta().T)
# find the moment about the new origin due to the force
Mxyz_global = cross(r, Fxyz_global)
dMxyz_local_2 = cross(r, Fxyz_local_2)
Mxyz_local_2 = Mxyz_local_1 + dMxyz_local_2
# rotate the delta moment into the local frame
M_local = coord_to_ref.xyz_to_coord(Mxyz_local_2)
return Fxyz_local_2, Mxyz_local_2
def deprecated(self, old_name: str, new_name: str,
deprecated_version: str) -> None:
"""deprecates methods"""
deprecated(old_name, new_name, deprecated_version, levels=[0, 1, 2])
