Users:General FEM Analysis/Elements Reference/NURBS BRep Edge cord
From Carat++ Public Wiki
(Difference between revisions)
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− | + | == 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.<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. | ||
+ | |||
+ | === Degrees of Freedom === | ||
+ | |||
+ | The element uses the translatoric degrees of freedom (''Disp_X'', ''Disp_Y'', ''Disp_Z'') at each control point. | ||
+ | |||
+ | === Parameter Description === | ||
+ | |||
+ | {| border="1" cellpadding="3" cellspacing="0" | ||
+ | |colspan="3" style="background:#efefef;"| 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 | ||
+ | |- | ||
+ | |colspan="3" style="background:#efefef;"| 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 === | === Example of a Complete Input Block === | ||
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EL-PROP 1 : NURBS_BREP_CHORD | EL-PROP 1 : NURBS_BREP_CHORD | ||
MAT= EL-MAT 1 | MAT= EL-MAT 1 | ||
+ | AREA = 1 | ||
+ | PRESTRESS = 4000 | ||
INT_TYPE_NURBS_BREP_CHORD = USER or FULL | INT_TYPE_NURBS_BREP_CHORD = USER or FULL | ||
GAUSS_U = 4 | GAUSS_U = 4 |
Revision as of 15:00, 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.
|
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
- ↑ 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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