Users:Geometry Generation

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[[Category: Users:Geometry Generation]]
 
[[Category: Users:Geometry Generation]]
  
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The geometry of the structure can be described by Non-uniform Rational B-Splines (NURBS). Thereof, the FE-elements are created automatically.
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[[File:CAD_def.png|400px|border|up|Deformed NURBS-based B-Rep model]]
  
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== NURBS Patches ==
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The design modul in CARAT allows to read in NURBS-based B-Rep models. Isogeometric-elemens can than be created from these models. Classical FE-elements can be derived only from untrimmed NURBS geometries.
  
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=== Input Example ===
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* [[Users:Geometry Generation/NURBS|NURBS Patches]]
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* [[Users:Geometry Generation/Design_Elements|Design Elements ]]
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* [[Users:Geometry Generation/Design_BRep_Elements|Design BRep Elements]]
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* [[Users:Geometry Generation/Design_Evaluation_Points|Design Evaluation Points]]
  
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Example of a complete input block:
 
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<pre>
 
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!###################################################################
 
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!####                        NURBS-BLOCK                        ####
 
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!###################################################################
 
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NURBS_PATCH  1 : NURBS_1D
 
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  CTRL_PTS = CTRL_PTS_DEF  1
 
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  NCTRL =  2
 
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  PDEG  =  2
 
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  UKNOT =  0.0000000000000000e+00, 0.0000000000000000e+00, 0.0000000000000000e+00, 3.1415926535897931e+01, 3.1415926535897931e+01, 3.1415926535897931e+01
 
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!===================================================================
 
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CTRL_PTS_DEF  1
 
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  CTRLPT  1  0.0000000000000000e+00  1.0000000000000000e+01  0.0000000000000000e+00  1.0000000000000000e+00
 
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  CTRLPT  2  1.0000000000000000e+01  1.0000000000000000e+01  0.0000000000000000e+00  7.0710678118654757e-01
 
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  CTRLPT  3  1.0000000000000000e+01  0.0000000000000000e+00  0.0000000000000000e+00  1.0000000000000000e+00
 
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!===================================================================
 
  
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NURBS_PATCH  2 : NURBS_2D
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* [[Users:Geometry Generation/Refinement|Design Refinement ]]
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  CTRL_PTS = CTRL_PTS_DEF  2
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* [[Users:Geometry Generation/Design_Loads|Design Loads]]
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  NCTRL =  2
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* [[Users:Geometry Generation/Design_Supports|Design Supports]]
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  MCTRL =  1
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  PDEG  =  2
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  QDEG  =  1
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  UKNOT =  0.0, 0.0, 0.0, 10.0, 10.0, 10.0
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  VKNOT =  0,0,1,1
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  TRIMMING = B_REP 1
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!===================================================================
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CTRL_PTS_DEF  2
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  CTRLPT  1  0.0000000000000000e+00  1.0000000000000000e+01  0.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  2  1.0000000000000000e+01  1.0000000000000000e+01  0.0000000000000000e+00  7.0710678118654757e-01
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  CTRLPT  3  1.0000000000000000e+01  0.0000000000000000e+00  0.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  4  0.0000000000000000e+00  1.0000000000000000e+01  1.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  5  1.0000000000000000e+01  1.0000000000000000e+01  1.0000000000000000e+00  7.0710678118654757e-01
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  CTRLPT  6  1.0000000000000000e+01  0.0000000000000000e+00  1.0000000000000000e+00  1.0000000000000000e+00
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!===================================================================
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NURBS_PATCH  3 : NURBS_3D
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  CTRL_PTS = CTRL_PTS_DEF  3
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  NCTRL =  2
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  MCTRL =  1
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  LCTRL =  1
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  PDEG  =  2
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  QDEG  =  1
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  RDEG  =  1
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  UKNOT =  0, 0, 0, 10, 10, 10
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  VKNOT =  0,0,1,1
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  WKNOT =  0,0,1,1
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!===================================================================
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CTRL_PTS_DEF  3
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  CTRLPT  1  0.0000000000000000e+00  1.0000000000000000e+01  0.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  2  1.0000000000000000e+01  1.0000000000000000e+01  0.0000000000000000e+00  7.0710678118654757e-01
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  CTRLPT  3  1.0000000000000000e+01  0.0000000000000000e+00  0.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  4  0.0000000000000000e+00  1.0000000000000000e+01  1.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  5  1.0000000000000000e+01  1.0000000000000000e+01  1.0000000000000000e+00  7.0710678118654757e-01
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  CTRLPT  6  1.0000000000000000e+01  0.0000000000000000e+00  1.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  7  0.0000000000000000e+00  2.0000000000000000e+01  0.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  8  2.0000000000000000e+01  2.0000000000000000e+01  0.0000000000000000e+00  7.0710678118654757e-01
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  CTRLPT  9  2.0000000000000000e+01  0.0000000000000000e+00  0.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  10 0.0000000000000000e+00  2.0000000000000000e+01  1.0000000000000000e+00  1.0000000000000000e+00
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  CTRLPT  11 2.0000000000000000e+01  2.0000000000000000e+01  1.0000000000000000e+00  7.0710678118654757e-01
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  CTRLPT  12 2.0000000000000000e+01  0.0000000000000000e+00  1.0000000000000000e+00  1.0000000000000000e+00
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!===================================================================
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!###################################################################
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!####                        TRIMMING                          ####
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!###################################################################
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B_REP 1
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B_REP_LOOP  1        0  1  TRUE  2  TRUE  3  TRUE  4  TRUE
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!###################################################################
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!####                  NURBS-BLOCK-PARAMETER                    ####
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!###################################################################
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NURBS_PATCH_PAR  1 : NURBS_1D
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  CTRL_PTS = CTRL_PTS_PAR  1
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  NCTRL =  1
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  PDEG  =  1
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  UKNOT =  0.0000000000e+00, 0.0000000000e+00, 1.0000000000e+01, 1.0000000000e+01
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!===================================================================
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CTRL_PTS_PAR  1
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  CTRLPT_PAR_ID  1 
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  CTRLPT_PAR_ID  2
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!===================================================================
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!###################################################################
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!####                  NURBS-BLOCK-PARAMETER                    ####
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!###################################################################
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NURBS_PATCH_PAR  2 : NURBS_1D
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  CTRL_PTS = CTRL_PTS_PAR  2
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  NCTRL =  1
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  PDEG  =  1
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  UKNOT =  0.0000000000e+00, 0.0000000000e+00, 1.0000000000e+01, 1.0000000000e+01
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!===================================================================
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CTRL_PTS_PAR  2
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  CTRLPT_PAR_ID  3 
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  CTRLPT_PAR_ID  4 
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!===================================================================
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!###################################################################
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!####                  NURBS-BLOCK-PARAMETER                    ####
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!###################################################################
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NURBS_PATCH_PAR  3 : NURBS_1D
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  CTRL_PTS = CTRL_PTS_PAR  3
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  NCTRL =  1
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  PDEG  =  1
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  UKNOT =  0.0000000000e+00, 0.0000000000e+00, 10, 10
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!===================================================================
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CTRL_PTS_PAR  3
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  CTRLPT_PAR_ID  5 
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  CTRLPT_PAR_ID  6 
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!===================================================================
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!###################################################################
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!####                  NURBS-BLOCK-PARAMETER                    ####
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!###################################################################
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NURBS_PATCH_PAR  4 : NURBS_1D
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  CTRL_PTS = CTRL_PTS_PAR  4
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  NCTRL =  1
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  PDEG  =  1
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  UKNOT =  0.0000000000e+00, 0.0000000000e+00, 1.0000000000e+01, 1.0000000000e+01
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!===================================================================
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CTRL_PTS_PAR  4
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  CTRLPT_PAR_ID  7 
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  CTRLPT_PAR_ID  8 
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!===================================================================
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!###################################################################
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!####                  NURBS-BLOCK-PARAMETER                    ####
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!###################################################################
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NURBS_PATCH_PAR  5 : NURBS_1D
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  CTRL_PTS = CTRL_PTS_PAR  5
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  NCTRL =  1
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  PDEG  =  1
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  UKNOT =  0.0000000000e+00, 0.0000000000e+00, 10, 10
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!===================================================================
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CTRL_PTS_PAR  5
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  CTRLPT_PAR_ID  9 
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  CTRLPT_PAR_ID  10 
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!===================================================================
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!===================================================================
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CTRL_PTS_PAR_DEF
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  CTRLPT_PAR  1    0.0000000000e+00    0.0000000000e+00
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  CTRLPT_PAR  2    1.0000000000e+01    0.0000000000e+00
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  CTRLPT_PAR  3    1.0000000000e+01    0.0000000000e+00
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  CTRLPT_PAR  4    1.0000000000e+01    1.0000000000e+01
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  CTRLPT_PAR  5    1.0000000000e+01    1.0000000000e+01
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  CTRLPT_PAR  6    0.0000000000e+00    1.0000000000e+01
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  CTRLPT_PAR  7    0.0000000000e+00    1.0000000000e+01
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  CTRLPT_PAR  8    0.0000000000e+00    0.0000000000e+00
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</pre>
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== Design Elements ==
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== Desing BRep Elements ==
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Latest revision as of 14:34, 17 September 2018

Deformed NURBS-based B-Rep model

The design modul in CARAT allows to read in NURBS-based B-Rep models. Isogeometric-elemens can than be created from these models. Classical FE-elements can be derived only from untrimmed NURBS geometries.






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