Users:General FEM Analysis/Elements Reference/NURBS BRep Edge coupling

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(Created page with "Coded and tested. Documentation will be coming soon! === Example of a Complete Input Block === <pre> EL-PROP 1 : NURBS_BREP_EDGE_COUPLING BREP_TYPE = COUPLING_DISP ! or: C...")
 
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Coded and tested.
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== General Description ==
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Documentation will be coming soon!
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=== Example of a Complete Input Block ===
 
=== Example of a Complete Input Block ===
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   GAUSS_U = 4
 
   GAUSS_U = 4
 
</pre>
 
</pre>
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=== Element Type ===
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* This element provides a geometrically nonlinear, isogeometric spatial cable.
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* Mass computation is implemented.
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The formulation is stabilized by an additional bending stiffness based on Raknes et al.<ref>S.B. Raknes, X. Deng, Y. Bazilevs, D.J. Benson, K.M. Mathisen, T. Kvamsdal: „Isogeometric rotation-free bending-stabilized cables: Statics, dynamics, bending strips and coupling with shells“, in „Computer methods in applied mechanics and engineering“, Vol. 263, 2013, Seiten 127-143 http://dx.doi.org/10.1016/j.cma.2013.05.005</ref>. The bending stiffness is computed out of the area with the assumption of a circular cross section.
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=== Degrees of Freedom ===
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The element uses the translatoric degrees of freedom (''Disp_X'', ''Disp_Y'', ''Disp_Z'') at each control point.
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=== Parameter Description ===
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{| border="1" cellpadding="3" cellspacing="0"
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|colspan="3" style="background:#efefef;"| Compulsory Parameters
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|-
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!Parameter
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!Values, Default(*)
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!Description
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|-
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!MAT
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|EL-MAT ''int''
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|Linking to a material input block
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|-
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!INT_TYPE_CORD_3D_NURBS
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|FULL, USER
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|Control of integration type.
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* FULL: p+1 Gauss points are used (p = polynomial degree of the NURBS patch)
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* USER: the optional Parameter GAUSS_U defines the number of Gauss points
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|-
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!CROSS SECTION
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|AREA = ''float''
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|area of the cross section
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|-
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!PRESTRESS
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|PRESTRESS = ''float''
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|prestress of the cable element
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|-
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|colspan="3" style="background:#efefef;"| Optional Parameters
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|-
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!Parameter
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!Values, Default(*)
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!Description
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|-
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!GAUSS_U
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|GAUSS_U = ''int''
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|Number of Gauss point per element. Must only to be defined when INT_TYPE_CORD_3D_NURBS = USER
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|-
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|}
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=== Example of a Complete Input Block ===
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<pre>
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EL-PROP 1 : NURBS_BREP_CHORD 
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  MAT= EL-MAT 1
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  AREA = 1
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  PRESTRESS = 4000
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  INT_TYPE_NURBS_BREP_CHORD = USER or FULL
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  GAUSS_U = 4
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</pre>
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== Element Loading ==
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The NURBS_BRep_Edge_Cord element is able to carry the following loads:
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* dead load
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* snow load
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* pressure load
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* temperature load (not tested)
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== Benchmarks ==
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The main benchmark file in the ''Carat++''-repository is
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* '../examples/benchmark_examples/isogeometric/iga_formfinding_4point_with_trusses/cbm_4PointSailwTrusses.txt'.
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== References ==
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<references/>

Revision as of 08:45, 9 December 2016

Contents

General Description

Example of a Complete Input Block 

EL-PROP 1 : NURBS_BREP_EDGE_COUPLING  
  BREP_TYPE = COUPLING_DISP ! or: COUPLING_ROT, COUPLING_DISP_ROT
  !NITSCHE=AUTO
  BL_FACTOR_DISP = 10000
  BL_FACTOR_DISP = 10000
  INT_TYPE_NURBS_EDGE_COUPLING = USER or FULL
  GAUSS_U = 4

Element Type

  • This element provides a geometrically nonlinear, isogeometric spatial cable.
  • Mass computation is implemented.

The formulation is stabilized by an additional bending stiffness based on Raknes et al.[1]. The bending stiffness is computed out of the area with the assumption of a circular cross section.

Degrees of Freedom

The element uses the translatoric degrees of freedom (Disp_X, Disp_Y, Disp_Z) at each control point.

Parameter Description

Compulsory Parameters
Parameter Values, Default(*) Description
MAT EL-MAT int Linking to a material input block
INT_TYPE_CORD_3D_NURBS 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 AREA = float area of the cross section
PRESTRESS PRESTRESS = float prestress of the cable element
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_CORD_3D_NURBS = USER

Example of a Complete Input Block 

EL-PROP 1 : NURBS_BREP_CHORD  
  MAT= EL-MAT 1
  AREA = 1
  PRESTRESS = 4000
  INT_TYPE_NURBS_BREP_CHORD = USER or FULL
  GAUSS_U = 4

Element Loading

The NURBS_BRep_Edge_Cord element is able to carry the following loads:

  • dead load
  • snow load
  • pressure load
  • temperature load (not tested)

Benchmarks

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

  • '../examples/benchmark_examples/isogeometric/iga_formfinding_4point_with_trusses/cbm_4PointSailwTrusses.txt'.

References

  1. ↑ S.B. Raknes, X. Deng, Y. Bazilevs, D.J. Benson, K.M. Mathisen, T. Kvamsdal: „Isogeometric rotation-free bending-stabilized cables: Statics, dynamics, bending strips and coupling with shells“, in „Computer methods in applied mechanics and engineering“, Vol. 263, 2013, Seiten 127-143 http://dx.doi.org/10.1016/j.cma.2013.05.005




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