Users:General FEM Analysis/Elements Reference/Cord 3D NURBS

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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 : CORD_3D_NURBS MAT= EL-MAT 1 AREA=1.0000e-001 INT_TY...")
 
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Coded and tested.
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== General Description ==
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Coded and testing is in progress.
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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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|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_BEAM_3D_NURBS_KLRod = USER
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|-
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|}
  
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Documentation will be coming soon!
 
  
 
=== Example of a Complete Input Block ===
 
=== Example of a Complete Input Block ===
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   GAUSS_U = 3
 
   GAUSS_U = 3
 
</pre>
 
</pre>
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== Element Loading ==
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The Cord_3D_NURBS 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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Currently, no main benchmark file in the ''Carat++''-repository is available.
 +
 +
== References ==
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 +
<references/>

Revision as of 10:00, 5 December 2016

Contents

General Description

Coded and testing is in progress.

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
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_3D_NURBS_KLRod = USER


Example of a Complete Input Block 

EL-PROP 1 : CORD_3D_NURBS
  MAT= EL-MAT 1  
  AREA=1.0000e-001
  
  INT_TYPE_CORD_3D_NURBS = FULL
  !or:
  INT_TYPE_CORD_3D_NURBS = USER
  GAUSS_U = 3

Element Loading

The Cord_3D_NURBS element is able to carry the following loads:

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

Benchmarks

Currently, no main benchmark file in the Carat++-repository is available.

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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