for i, Li in zip(ekeys, L):
ri = (1 + Li / Lt) * 0.020
sname = 'sec_{0}'.format(i)
mdl.add(CircularSection(name=sname, r=ri))
mdl.add(
Properties(name='ep_{0}'.format(i),
material='mat_elastic',
section=sname,
elements=[i]))
# Displacements
mdl.add([
PinnedDisplacement(name='disp_left', nodes='nset_left'),
GeneralDisplacement(name='disp_right', nodes='nset_right', y=0, z=0, xx=0),
GeneralDisplacement(name='disp_rotate',
nodes='nset_left',
yy=30 * pi / 180),
])
# Loads
mdl.add(PointLoad(name='load_weights', nodes='nset_weights', z=-100))
# Steps
mdl.add([
GeneralStep(name='step_bc', displacements=['disp_left', 'disp_right']),
GeneralStep(name='step_load',
loads='load_weights',
mdl.add([
Properties(name='ep_solid_4', material='mat_2', section='sec_solid', elset='elset_blocks_layer_4'),
Properties(name='ep_solid_3', material='mat_1', section='sec_solid', elset='elset_blocks_layer_3'),
Properties(name='ep_solid_2', material='mat_2', section='sec_solid', elset='elset_blocks_layer_2'),
Properties(name='ep_solid_1', material='mat_1', section='sec_solid', elset='elset_blocks_layer_1'),
Properties(name='ep_solid_0', material='mat_2', section='sec_solid', elset='elset_blocks_layer_0'),
Properties(name='ep_beams', material='mat_3', section='sec_rectangle', elset='elset_beams'),
Properties(name='ep_membrane', material='mat_2', section='sec_membrane', elset='elset_membranes', rebar=rebar),
])
# Displacements
mdl.add([
PinnedDisplacement(name='disp_pinned', nodes='nset_bot'),
RollerDisplacementY(name='disp_roller', nodes='nset_top'),
GeneralDisplacement(name='disp_move', nodes='nset_top', y=0.010)
])
# Steps
mdl.add([
GeneralStep(name='step_bc', displacements=['disp_pinned', 'disp_roller']),
GeneralStep(name='step_move', displacements=['disp_move']),
])
mdl.steps_order = ['step_bc', 'step_move']
# Structure
mdl.summary()
# Run
mdl.add(ShellSection(name='sec_plate', t=0.001))
# Properties
mdl.add(
Properties(name='ep_plate',
material='mat_elastic',
section='sec_plate',
elset='elset_mesh'))
# Displacements
mdl.add([
PinnedDisplacement(name='disp_left', nodes='nset_left'),
RollerDisplacementX(name='disp_right', nodes='nset_right'),
GeneralDisplacement(name='disp_middle', nodes='nset_middle', z=0.200),
])
# Loads
mdl.add(GravityLoad(name='load_gravity', elements='elset_mesh'))
# Steps
mdl.add([
GeneralStep(name='step_bc', displacements=['disp_left', 'disp_right']),
GeneralStep(name='step_load',
loads=['load_gravity'],
displacements=['disp_middle']),
])
mdl.steps_order = ['step_bc', 'step_load']
mdl.add_sections([
ShellSection(name='sec_concrete', t=0.020),
TrussSection(name='sec_ties', A=0.0004)])
# Properties
mdl.add_element_properties([
Properties(name='ep_concrete', material='mat_concrete', section='sec_concrete', elsets='elset_concrete'),
Properties(name='ep_steel', material='mat_steel', section='sec_ties', elsets='elset_ties')])
# Displacements
mdl.add_displacements([
RollerDisplacementXY(name='disp_roller', nodes='nset_corners'),
PinnedDisplacement(name='disp_pinned', nodes='nset_corner1'),
GeneralDisplacement(name='disp_xdof', nodes='nset_corner2', x=0)])
# Loads
mesh = mesh_from_guid(Mesh(), rs.ObjectsByLayer('load_mesh')[0])
mdl.add_loads([
GravityLoad(name='load_gravity', elements='elset_concrete'),
PrestressLoad(name='load_prestress', elements='elset_ties', sxx=50*10**6),
TributaryLoad(mdl, name='load_tributary', mesh=mesh, z=-2000)])
# Steps
mdl.add_steps([
GeneralStep(name='step_bc', displacements=['disp_roller', 'disp_pinned', 'disp_xdof']),
GeneralStep(name='step_prestress', loads=['load_prestress']),
GeneralStep(name='step_loads', loads=['load_gravity', 'load_tributary'], factor=1.1)])
def compute_compas_fea(file_path, load_path, fea_engine='abaqus', recompute=True):
""" Use abaqus (via compas_fea) to perform elastic FEA on the given frame
under a given load case. If no load path is specified, elemental gravity
will be assumbed to be applied.
Parameters
----------
file_path : string
full path to the frame shape's json file.
load_path : type
full path to the load case's json file.
Returns
-------
nD: dict
Reactional nodal displacement
key is the node id.
value is
(nodal_id, dx, dy, dz, theta_x, theta_y, theta_z).
fR: dict
Fixities reaction force, moment.
key is the nodal id.
value is [Fxyz, Mxyz] in the global axes.
eR: dict
Element-wise reaction force, moment (two ends).
key is the element id.
(Fxyz_1, Mxyz_1, Fxyz_2, Mxyz_2)
"""
root_dir = os.path.dirname(os.path.abspath(__file__))
temp_dir = os.path.join(root_dir, 'compas_fea-temp')
if not os.path.exists(temp_dir):
os.makedirs(temp_dir)
file_json_name = file_path.split(os.sep)[-1]
file_name = file_json_name.split('.')[0]
print('compas_fea initing: file name {}'.format(file_name))
if not recompute:
nD, fR, eR = parse_abaqus_result_json(file_name, temp_dir)
return nD, fR, eR
with open(file_path, 'r') as f:
json_data = json.loads(f.read())
load_json_data = {}
if load_path:
with open(load_path, 'r') as f:
load_json_data = json.loads(f.read())
# init an empty structure
mdl = Structure(name=file_name, path=os.path.join(temp_dir, ''))
# nodes
mdl.add_nodes(nodes=parse_frame_nodes(json_data))
# elements
elements = parse_elements(json_data)
# align local axes with conmech
sc = stiffness_checker(json_file_path=file_path, verbose=False)
e_rot_mats = sc.get_element_local2global_rot_matrices()
assert len(e_rot_mats) == len(elements)
for e, mat in zip(elements, e_rot_mats):
# compas_fea local axis convention is differrent to the one used in conmech:
# in compas_fea
# 'ex' axis represents the cross-section’s major axis
# 'ey' is the cross-section’s minor axis
# 'ez' is the axis along the element
# TODO: this numpy array to list conversion
# is essential to make compas_fea work...
ez = list(mat[0][0:3]) # conmech longitude axis
ex = list(mat[1][0:3]) # conmech cross sec major axis
ey = list(mat[2][0:3]) # conmech cross sec minor axis
mdl.add_element(nodes=e,
type='BeamElement',
axes={'ex': ex, 'ey': ey, 'ez': ez})
# print(mdl.elements[mdl.check_element_exists(nodes=e)])
assert_equal(mdl.element_count(), len(elements))
# Sets
# just convenient aliases for referring to a group of elements
mdl.add_set(name='elset_all', type='element', selection=list(range(mdl.element_count())))
mdl.add_set(name='nset_all', type='node', selection=list(range(mdl.node_count())))
fixities = parse_fixties(json_data)
mdl.add_set(name='nset_fix', type='node', selection=[f[0] for f in fixities])
if load_json_data:
pt_loads, include_sw = parse_load_case(load_json_data)
# mdl.add_set(name='nset_pt_load', type='node', selection=[l[0] for l in pt_loads])
else:
pt_loads = []
include_sw = True
if pt_loads:
mdl.add_set(name='nset_v_load_all', type='node', selection=[pl[0] for pl in pt_loads])
# Materials
# Young’s modulus E [in units of Pa]
# Poisson’s ratio v and density p [kg per cubic metre].
mat_json = json_data['material_properties']
mat_name = 'mat_' + mat_json['material_name']
E_scale = parse_pressure_scale_conversion(mat_json['youngs_modulus_unit'])
p_scale = parse_density_scale_conversion(mat_json['density_unit'])
mdl.add(ElasticIsotropic(name=mat_name,
E=E_scale * mat_json['youngs_modulus'],
v=mat_json['poisson_ratio'],
p=p_scale * mat_json['density']))
# G_scale = parse_pressure_scale_conversion(mat_json['shear_modulus_unit'])
# print('{}, {}'.format(mdl.materials['mat_' + mat_json['material_name']].G, G_scale * mat_json['shear_modulus']))
# assert_almost_equal(mdl.materials['mat_' + mat_json['material_name']].G['G'], G_scale * mat_json['shear_modulus'])
# print('-----------material')
# print(mdl.materials[mat_name])
# Sections
# SI units should be used, this includes the use of metres m for cross-section dimensions, not millimetres mm.
sec_name = 'sec_circ'
mdl.add(CircularSection(name=sec_name, r=parse_circular_cross_sec_radius(json_data)))
# print('-----------cross section')
# print(mdl.sections[sec_name])
# Properties, associate material & cross sec w/ element sets
mdl.add(Properties(name='ep_all', material=mat_name, section=sec_name, elset='elset_all'))
# Displacements
# pin supports
for i, fix in enumerate(fixities):
f_dof = []
for j in range(6):
if fix[j+1] == 1:
f_dof.append(0)
else:
f_dof.append(None)
mdl.add(GeneralDisplacement(name='disp_fix_'+str(i), nodes=[fix[0]], x=f_dof[0], y=f_dof[1], z=f_dof[2], xx=f_dof[3], yy=f_dof[4], zz=f_dof[5]))
# print('-----------fixities')
# for i in range(len(fixities)):
# print(mdl.displacements['disp_fix_'+str(i)])
# Loads
if pt_loads:
mdl.add([PointLoad(name='load_v_'+str(i), nodes=[pl[0]],
x=pl[1], y=pl[2], z=pl[3],
xx=pl[4], yy=pl[5], zz=pl[6])
for i, pl in enumerate(pt_loads)])
if include_sw:
mdl.add(GravityLoad(name='load_gravity', elements='elset_all'))
else:
mdl.add(GravityLoad(name='load_gravity', elements='elset_all'))
# print('-----------loads')
# print(mdl.loads['load_gravity'])
# for i in range(len(pt_loads)):
# print(mdl.loads['load_v_'+str(i)])
# Steps
loads_names = []
if pt_loads:
loads_names.extend(['load_v_'+str(i) for i in range(len(pt_loads))])
if include_sw:
loads_names.append('load_gravity')
mdl.add([
GeneralStep(name='step_bc', displacements=['disp_fix_'+str(i) for i in range(len(fixities))]),
GeneralStep(name='step_loads', loads=loads_names)
])
# a boundary condition step such as 'step_bc' above, should always be applied as the first step to prevent rigid body motion
mdl.steps_order = ['step_bc', 'step_loads']
# Summary
mdl.summary()
# Run
# node
# 'u': nodal displacement: ux, uy, uz, um (magnitude)
# 'ur': nodal rotation
# 'rf': reaction force
# 'cf': concentrated force (external load)
# 'cm': concentrated moment (external load)
# element
# 's': beam stress (conmech cannot compute this at
# version 0.1.1)
# For beam, the following values are evaluated
# at the "integration point" 'ip1' (middle point)
# and pts along the axis: 'sp3, sp7, sp11, sp15'
# sxx: axial
# syy: hoop
# sxy: torsion
# smises: Von Mises
# smaxp: max principal
# sminp: min principal
# 'sf': beam section force
# sf1: axial
# sf2: shear x
# sf3: shear y
if fea_engine == 'abaqus':
mdl.analyse_and_extract(software='abaqus', fields=['u', 'ur', 'rf', 'rm', 'sf'], ndof=6, output=True)
nD, fR, eR = parse_abaqus_result_json(file_name, temp_dir)
elif fea_engine == 'opensees':
mdl.analyse_and_extract(software='opensees', fields=['u'], exe=OPENSEES_PATH, ndof=6, output=True, save=True)
raise NotImplementedError('opensees from compas_fea is not fully supported at this moment...')
nD = {}
fR = {}
eR = {}
# nD = mdl.get_nodal_results(step='step_load', field='ux', nodes='nset_all')
print(mdl.results)
else:
raise NotImplementedError('FEA engine not supported!')
return nD, fR, eR
ename = 'element_{0}'.format(ekey)
mdl.add_section(CircularSection(name=sname, r=ri))
ep = Properties(name=pname,
material='mat_elastic',
section=sname,
elsets=ename)
mdl.add_element_properties(ep)
# Displacements
deg = pi / 180
mdl.add_displacements([
PinnedDisplacement(name='disp_bc_left', nodes='nset_left'),
GeneralDisplacement(name='disp_bc_right',
nodes='nset_right',
y=0,
z=0,
xx=0),
GeneralDisplacement(name='disp_left', nodes='nset_left', yy=30 * deg),
])
# Loads
mdl.add_load(PointLoad(name='load_weights', nodes='nset_weights', z=-200.0))
# Steps
mdl.add_steps([
GeneralStep(name='step_bc',
displacements=['disp_bc_left', 'disp_bc_right']),
GeneralStep(name='step_load',
# Properties
ep = Properties(name='ep',
material='mat_elastic',
section='sec_rectangular',
elsets=beams)
mdl.add_element_properties(ep)
# Displacements
bc = []
for beam in beams:
name = '{0}_ends'.format(beam)
if 'X' in beam:
mdl.add_displacement(
GeneralDisplacement(name=name, nodes=name, y=0, z=0, xx=0))
if 'Y' in beam:
mdl.add_displacement(
GeneralDisplacement(name=name, nodes=name, x=0, z=0, yy=0))
bc.append(name)
mdl.add_displacement(
GeneralDisplacement(name='disp_lift', nodes='lift_points', z=0.250))
# Steps
mdl.add_steps([
GeneralStep(name='step_bc', displacements=bc),
GeneralStep(name='step_lift', displacements=['disp_lift'])
])
mdl.steps_order = ['step_bc', 'step_lift']
mdl.add_section(ShellSection(name='sec_plate', t=0.001))
# Properties
ep = Properties(name='ep_plate',
material='mat_alu',
section='sec_plate',
elsets='elset_mesh')
mdl.add_element_properties(ep)
# Displacements
mdl.add_displacements([
PinnedDisplacement(name='disp_left', nodes='nset_left'),
RollerDisplacementX(name='disp_right', nodes='nset_right'),
GeneralDisplacement(name='disp_stability', nodes='nset_stability', y=0),
GeneralDisplacement(name='disp_middle', nodes='nset_middle', z=0.200)
])
# Loads
mdl.add_load(GravityLoad(name='load_gravity', elements='elset_mesh'))
# Steps
mdl.add_steps([
GeneralStep(name='step_bc', displacements=['disp_left', 'disp_right']),
GeneralStep(name='step_load',
loads=['load_gravity'],
displacements=['disp_middle'])
])