fedoo.constitutivelaw.BeamProperties

class BeamProperties(material, A, Jx, Iyy, Izz, k=0, name='')

__init__(material, A, Jx, Iyy, Izz, k=0, name='')

Beam properties constitutive law.

This constitutive law should be associated with the weakform fedoo.weakform.BeamEquilibrium

Parameters:

• material (ConstitutiveLaw name (str) or ConstitutiveLaw object) – Material Constitutive Law used to get the elastic modulus and shear modulus. The ConstitutiveLaw object should have attributes E and G that gives the young modulus and the shear modulus (as fedoo.constitutivelaw.ElasticIsotrop).

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

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

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

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

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

• name (str) – name of the WeakForm.

Notes

The current beam formulation supports isotropic linear elastic materials only. Material orientations are ignored; the beam cross-section orientation is defined by the assembly element frame.

Methods

BeamProperties.compute_linear_density()
BeamProperties.compute_rotary_density()
BeamProperties.get_all()	Return a dict with all the known ConstitutiveLaw (with a name).
BeamProperties.get_beam_rigidity()
BeamProperties.get_local_frame([assembly])	Return material frames, resolved at assembly Gauss points.
BeamProperties.initialize(assembly, pb)	Initialize the constitutive law for the current problem.
BeamProperties.reset()	Reset the constitutive law.
BeamProperties.set_local_frame(local_frame)	Define the material coordinate frame.
BeamProperties.set_start(assembly, pb)	Begin a new time iteration.
BeamProperties.to_start(assembly, pb)	Restart the current time iteration.
BeamProperties.update(assembly, pb)	Update the constitutive law for the current problem state.

BeamProperties.linear_density	Mass per unit beam length.
BeamProperties.name	Name of the constitutive law.
BeamProperties.rotary_density	Mass moments of inertia per unit beam length.
BeamProperties.A	Section surface
BeamProperties.Jx	Torsion constant
BeamProperties.Iyy	Second moment of area with respect to y
BeamProperties.Izz	Second moment of area with respect to z
BeamProperties.k	Shear shape factor.
BeamProperties.is_initialized	Tag set to True once the law is intialized.