Users:General FEM Analysis/Elements Reference/Beam 3D NURBS KLRod
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== General Description == | == General Description == | ||
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=== Element Type === | === Element Type === | ||
| − | * This element provides a geometrically nonlinear, isogeometric spatial Bernoulli beam<ref> A. M. Bauer, M. Breitenberger, B. Philipp, R. Wüchner, K.-U. Bletzinger: „Nonlinear isogeometric spatial Bernoulli beam“, in „Computer methods in applied mechanics and engineering“, Vol. 303, 2016, Seiten 101-127 | + | * This element provides a geometrically nonlinear, isogeometric spatial Bernoulli beam<ref> A. M. Bauer, M. Breitenberger, B. Philipp, R. Wüchner, K.-U. Bletzinger: „Nonlinear isogeometric spatial Bernoulli beam“, in „Computer methods in applied mechanics and engineering“, Vol. 303, 2016, Seiten 101-127 http://dx.doi.org/10.1016/j.cma.2015.12.027 </ref>. |
* Torsion without warping is included | * Torsion without warping is included | ||
* The element formulation can handle arbitrary orientations of the cross section along the beam. | * The element formulation can handle arbitrary orientations of the cross section along the beam. | ||
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=== Degrees of Freedom === | === Degrees of Freedom === | ||
| − | The | + | The element uses three translatoric degrees of freedom (''Disp_X'', ''Disp_Y'', ''Disp_Z'') and a rotational degree of freedom (''Rot_Tan'') at each control point. |
=== Parameter Description === | === Parameter Description === | ||
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!INT_TYPE_BEAM_3D_NURBS_KLRod | !INT_TYPE_BEAM_3D_NURBS_KLRod | ||
|FULL, USER | |FULL, USER | ||
| − | |Control of integration type. | + | |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 | ||
|- | |- | ||
!rowspan="3" | CROSS SECTION | !rowspan="3" | CROSS SECTION | ||
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HEIGHT=1.0 | HEIGHT=1.0 | ||
WIDTH=1.0 | WIDTH=1.0 | ||
| − | or: | + | !or: |
AREA=1.0000e+008 | AREA=1.0000e+008 | ||
IY=1.0000e+008 | IY=1.0000e+008 | ||
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== Benchmarks == | == Benchmarks == | ||
| − | The main benchmark | + | The main benchmark files in the ''Carat++''-repository are |
| − | *'../examples/benchmark_examples/isogeometric/iga_kl_rod_nln/cbm_iga_kl_rod_nln.txt' . | + | * '../examples/benchmark_examples/isogeometric/iga_kl_rod_lin/cbm_beam3D_nurbs_csa.txt'. |
| + | * '../examples/benchmark_examples/isogeometric/iga_kl_rod_nln/cbm_iga_kl_rod_nln.txt'. | ||
It is further used in: | It is further used in: | ||
* '../examples/benchmark_examples/isogeometric/iga_formfinding_4point_with_trusses/cbm_4PointSailwTrusses.txt' | * '../examples/benchmark_examples/isogeometric/iga_formfinding_4point_with_trusses/cbm_4PointSailwTrusses.txt' | ||
Latest revision as of 09:49, 20 December 2016
Contents |
General Description
Element Type
- This element provides a geometrically nonlinear, isogeometric spatial Bernoulli beam[1].
- Torsion without warping is included
- The element formulation can handle arbitrary orientations of the cross section along the beam.
Degrees of Freedom
The element uses three translatoric degrees of freedom (Disp_X, Disp_Y, Disp_Z) and a rotational degree of freedom (Rot_Tan) at each control point.
Parameter Description
| Compulsory Parameters | ||
| Parameter | Values, Default(*) | Description |
|---|---|---|
| MAT | EL-MAT int | Linking to a material input block |
| INT_TYPE_BEAM_3D_NURBS_KLRod | FULL, USER | Control of integration type.
|
| CROSS SECTION | DIAMETER = float | circular cross section defined ba the diameter. A = d^2π/4, Iy = Iz = d^4π/32, It= d^4π/32 |
| HEIGHT = float WIDTH = float |
rectangular cross section defined by height and width. A = h*w, Iy = h^3*w/12 Iz = h*w^3/12 It= min(h,w)^3*max(h,w)/3 | |
| AREA = float IY = float IZ = float IT = float |
cross section defined directly | |
| AXIS | AXIS float1 float2 float3 float4 | Definition of the cross sectional principal axis. Second axis is perpendicual to first and tangent of the curve. float1 is the position on the curve and float - float4 the direction (x,y,z). Base vectors are normalized and linearly interpolated for postions inbetween the defined ones. Axes for start and end knot of the NURBS curve are mandatory. |
| 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 : BEAM_3D_NURBS_KLRod MAT= EL-MAT 1 DIAMETER=1.0 !or: HEIGHT=1.0 WIDTH=1.0 !or: AREA=1.0000e+008 IY=1.0000e+008 IZ=1.0000e+008 IT=1.0000e+008 INT_TYPE_BEAM_3D_NURBS_KLRod = FULL !or: INT_TYPE_BEAM_3D_NURBS_KLRod = USER GAUSS_U = 3 ! U n1 n2 n3 AXIS 0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 AXIS 1.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000
Element Loading
The Beam_3D_NURBS_KLRod element is able to carry the following loads:
- dead load
- snow load
- pressure load
- moment
Benchmarks
The main benchmark files in the Carat++-repository are
- '../examples/benchmark_examples/isogeometric/iga_kl_rod_lin/cbm_beam3D_nurbs_csa.txt'.
- '../examples/benchmark_examples/isogeometric/iga_kl_rod_nln/cbm_iga_kl_rod_nln.txt'.
It is further used in:
- '../examples/benchmark_examples/isogeometric/iga_formfinding_4point_with_trusses/cbm_4PointSailwTrusses.txt'
References
- ↑ A. M. Bauer, M. Breitenberger, B. Philipp, R. Wüchner, K.-U. Bletzinger: „Nonlinear isogeometric spatial Bernoulli beam“, in „Computer methods in applied mechanics and engineering“, Vol. 303, 2016, Seiten 101-127 http://dx.doi.org/10.1016/j.cma.2015.12.027
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