fedoo.weakform.BeamEquilibrium

class BeamEquilibrium(material, A=None, Jx=None, Iyy=None, Izz=None, k=0, name='', nlgeom=None, space=None)

Weak formulation of the mechanical equilibrium equation for beam models.

Geometrical are implemented with the updated lagrangian approach.

Parameters:

  • material (ConstitutiveLaw name (str) or ConstitutiveLaw object) – material can be either a Beam constitutive laws or a material constitutive law with attributes E and G for elastic and shear modulus (for instance fedoo.constitutivelaw.ElasticIsotrop). If material is a beam constitutive law, the following parameters A, Jx, Iyy, Izz and k are ignored.

  • A (scalar or arrays of gauss point values, optional) – Beam section area.

  • Jx (scalar or arrays of gauss point values, optional) – Torsion constant.

  • Iyy (scalar or arrays of gauss point values, optional) – Second moment of area with respect to y (beam local coordinate system).

  • Izz (scalar or arrays of gauss point values, optional) – Second moment of area with respect to z (beam local coordinate system).

  • k (scalar or arrays of gauss point values, optional) – Shear coefficient. If k=0 (default) the beam use the bernoulli hypothesis.

  • name (str) – name of the WeakForm.

__init__(material, A=None, Jx=None, Iyy=None, Izz=None, k=0, name='', nlgeom=None, space=None)

Methods

BeamEquilibrium.get_all()

Return the list of all weak forms.

BeamEquilibrium.get_dissipation()

Return the optional dissipative provider for a time integrator.

BeamEquilibrium.get_storage()

Return the optional storage weakform for a time integrator.

BeamEquilibrium.get_weak_equation(assembly, pb)

BeamEquilibrium.initialize(assembly, pb)

BeamEquilibrium.iter_leaf()

Iterate over the leaf weakforms contained in this object.

BeamEquilibrium.reset()

BeamEquilibrium.set_damping([damping])

Mechanical alias for set_dissipation.

BeamEquilibrium.set_dissipation([...])

Attach a dissipative contribution.

BeamEquilibrium.set_inertia(density_or_storage)

Mechanical alias for set_storage.

BeamEquilibrium.set_start(assembly, pb)

BeamEquilibrium.set_storage(storage[, evolution])

Attach a time-storage weakform to this static weakform.

BeamEquilibrium.sum(wf1, wf2)

BeamEquilibrium.to_start(assembly, pb)

BeamEquilibrium.update(assembly, pb)

BeamEquilibrium.update_2(assembly, pb)

BeamEquilibrium.name

Return the name of the WeakForm.

BeamEquilibrium.nvar

Number of variables in the modeling space associated to the WeakForm.

BeamEquilibrium.space

Return the ModelingSpace associated to the WeakForm if defined.

BeamEquilibrium.nlgeom

Property used to treat the geometric non linearities. * Set to False if geometric non linarities are ignored (default). * Set to True or 'UL' to use the updated lagrangian method (update the mesh) * Set to 'TL' to use the total lagrangian method (base on the initial mesh with initial displacement effet).