fedoo.weakform.BeamEquilibrium

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

Methods

BeamEquilibrium.get_all()

Return the list of all weak forms.

BeamEquilibrium.get_weak_equation(assembly, pb)

BeamEquilibrium.initialize(assembly, pb)

BeamEquilibrium.nvar(self)

Return the number of variables used in the modeling space associated to the WeakForm.

BeamEquilibrium.reset()

BeamEquilibrium.set_start(assembly, pb)

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.space

Return the ModelingSpace associated to the WeakForm if defined.

BeamEquilibrium.nlgeom

Method 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).