Users:General FEM Analysis/Elements Reference/Beam 2D NURBS Bernoulli

Contents 1 General Description 1.1 Element Type 1.2 Degrees of Freedom 1.3 Parameter Description 1.4 Example of a Complete Input Block 2 Element Loading 3 Benchmarks 4 References

General Description

Partly coded and probably not tested.

Element Type

• This element provides a linear, isogeometric, planar Bernoulli beam.
• Stress computation is not yet implemented.

Degrees of Freedom

The element uses two translatoric degrees of freedom (Disp_X, Disp_Y).

Parameter Description

Compulsory Parameters
Parameter	Values, Default(*)	Description
MAT	EL-MAT int	Linking to a material input block
INT_TYPE_BEAM_2D_NURBS_BERNOULLI	FULL, USER	Control of integration type. FULL: p+1 Gauss points are used (p = polynomial degree of the NURBS patch) USER: the optional Parameter GAUSS_U defines the number of Gauss points
CROSS SECTION	HEIGHT = float WIDTH = float	rectangular cross section defined by height and width. A = h*w, Iy = h^3*w/12
	AREA = float IYY = float	cross section defined directly
	Optional Parameters
Parameter	Values, Default(*)	Description
GAUSS_U	GAUSS_U = int	Number of Gauss point per element. Must only to be defined when INT_TYPE_BEAM_2D_NURBS_BERNOULLI = USER

Example of a Complete Input Block

EL-PROP 1 : BEAM_2D_NURBS_BERNOULLI
  MAT= EL-MAT 1
  AREA=1.0  IYY=1.0  
  !or:  WIDTH=1.0 HEIGHT=1.0
  INT_TYPE_BEAM_2D_NURBS_BERNOULLI = FULL
  !or:  INT_TYPE_BEAM_2D_NURBS_BERNOULLI = USER
  !     GAUSS_U = 3

Element Loading

The BEAM_2D_NURBS_BERNOULLI element is able to carry the following loads: Currently, nothing implemented.

Benchmarks

The main benchmark file in the Carat++-repository is

• '../examples/benchmark_examples/isogeometric/isogeometric_beam_bernoulli/iso_beam_bernoulli.txt'.

However, it is not part of the benmarktesting in RUN_Tests.

References

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