CalculiX

T211 ばね定数確認

この記事は約15分で読めます。

ばね要素を介した解析になります。(参考: A152 片持ち梁 ばね要素

ばね要素の解析

CalculiX 解析ファイル

以下 CalculiX 解析ファイル

** Nodes
*Node, NSET=Nall
1, 0, 0, 0
2, 0, 10, 0
3, 0, 10, 10
4, 0, 0, 10
5, 10, 0, 0
6, 20, 0, 0
7, 30, 0, 0
15, 10, 10, 0
16, 20, 10, 0
17, 30, 10, 0
25, 10, 10, 10
26, 20, 10, 10
27, 30, 10, 10
35, 10, 0, 10
36, 20, 0, 10
37, 30, 0, 10
** Node Set
*NSET,NSET=N1
5,
6,
** Volume elements
*Element, TYPE=C3D8R, ELSET=Evolumes
6, 35, 25, 15, 5, 4, 3, 2, 1
8, 37, 27, 17, 7, 36, 26, 16, 6
** Define element set Eall
*ELSET, ELSET=Eall
Evolumes
**SPRING
*ELEMENT,TYPE=SPRINGA,ELSET=SPR1
1001,5,6
1002,15,16
1003,25,26
1004,35,36
** FemConstraintDisplacement Fix Disp
*NSET,NSET=FemConstraintDisplacement
1,
2,
3,
4,
** FemConstraintDisplacement001 MOVE Disp
*NSET,NSET=FemConstraintDisplacement001
7,
17,
27,
37

** Materials
** written by write_materials function
** Young's modulus unit is MPa = N/mm2
** FreeCAD material name: CalculiX-Steel
** SolidMaterial
*MATERIAL, NAME=SolidMaterial
*ELASTIC
210000, 0.300

** Sections Material Prop
** written by write_femelementsets function
*SOLID SECTION, ELSET=Eall, MATERIAL=SolidMaterial

**SPRING Stiffness (N/mm)
*SPRING,ELSET=SPR1
10.

** JOB STEP
*STEP
*STATIC

** FemConstraintDisplacement Fix Disp
*BOUNDARY
FemConstraintDisplacement,1,3
** FemConstraintDisplacement001 MOVE Disp
*BOUNDARY
FemConstraintDisplacement001,1,1,-1.0
FemConstraintDisplacement001,2
FemConstraintDisplacement001,3,

** Outputs --> frd file
** written by write_outputs_types function
*NODE FILE
U,RF
*EL FILE
S,E
** Outputs --> dat file
*NODE PRINT,NSET=N1
U
S

** written by write_step_end function
*END STEP

** Units
**
** Geometry (mesh data) --> mm
** Materials (Young's modulus) --> N/mm2 = MPa
** Loads (nodal loads) --> N
**

節点5と6(7,8行)をばね要素(32行)でつないでいます。ばね剛性は10N/mmを定義しています(64行)。

解析の条件は、左端の面を構成する節点1,2,3,4を拘束し、右端の面を構成する節点7,17,27,37をX軸(左方向へ)1㎜強制変位させています。

frdファイル

以下 frdファイル (結果ファイル)

    1C
    1UUSER                                                              
    1UDATE              19.october.2020                                 
    1UTIME              14:40:42                                        
    1UHOST                                                              
    1UPGM               CalculiX                                        
    1UVERSION           Version 2.16                             
    1UCOMPILETIME       Mo 25. Nov 18:56:47 CET 2019                    
    1UDIR                                                               
    1UDBN                                                               
    1UMAT    1SOLIDMATERIAL                                             
    1UMAT    2SPRING                                                    
    2C                            16                                     1
-1 1 0.00000E+00 0.00000E+00 0.00000E+00
-1 2 0.00000E+00 1.00000E+01 0.00000E+00
-1 3 0.00000E+00 1.00000E+01 1.00000E+01
-1 4 0.00000E+00 0.00000E+00 1.00000E+01
-1 5 1.00000E+01 0.00000E+00 0.00000E+00
-1 6 2.00000E+01 0.00000E+00 0.00000E+00
-1 7 3.00000E+01 0.00000E+00 0.00000E+00
-1 15 1.00000E+01 1.00000E+01 0.00000E+00
-1 16 2.00000E+01 1.00000E+01 0.00000E+00
-1 17 3.00000E+01 1.00000E+01 0.00000E+00
-1 25 1.00000E+01 1.00000E+01 1.00000E+01
-1 26 2.00000E+01 1.00000E+01 1.00000E+01
-1 27 3.00000E+01 1.00000E+01 1.00000E+01
-1 35 1.00000E+01 0.00000E+00 1.00000E+01
-1 36 2.00000E+01 0.00000E+00 1.00000E+01
-1 37 3.00000E+01 0.00000E+00 1.00000E+01
-3
3C 6 1
-1 6 1 0 1
-2 35 25 15 5 4 3 2 1
-1 8 1 0 1
-2 37 27 17 7 36 26 16 6
-1 1001 11 0 2
-2 5 6
-1 1002 11 0 2
-2 15 16
-1 1003 11 0 2
-2 25 26
-1 1004 11 0 2
-2 35 36
-3
1PSTEP 1 1 1
100CL 101 1.000000000 16 0 1 1
-4 DISP 4 1
-5 D1 1 2 1 0
-5 D2 1 2 2 0
-5 D3 1 2 3 0
-5 ALL 1 2 0 0 1ALL
-1 1 0.00000E+00 0.00000E+00 0.00000E+00
-1 2 0.00000E+00 0.00000E+00 0.00000E+00
-1 3 0.00000E+00 0.00000E+00 0.00000E+00
-1 4 0.00000E+00 0.00000E+00 0.00000E+00
-1 5-1.90061E-05-5.66647E-06-5.66647E-06
-1 6-9.99981E-01-5.66647E-06-5.66647E-06
-1 7-1.00000E+00 0.00000E+00 0.00000E+00
-1 15-1.90061E-05 5.66647E-06-5.66647E-06
-1 16-9.99981E-01 5.66647E-06-5.66647E-06
-1 17-1.00000E+00 0.00000E+00 0.00000E+00
-1 25-1.90061E-05 5.66647E-06 5.66647E-06
-1 26-9.99981E-01 5.66647E-06 5.66647E-06
-1 27-1.00000E+00 0.00000E+00 0.00000E+00
-1 35-1.90061E-05-5.66647E-06 5.66647E-06
-1 36-9.99981E-01-5.66647E-06 5.66647E-06
-1 37-1.00000E+00 0.00000E+00 0.00000E+00
-3
1PSTEP 2 1 1
100CL 101 1.000000000 16 0 1 1
-4 STRESS 6 1
-5 SXX 1 4 1 1
-5 SYY 1 4 2 2
-5 SZZ 1 4 3 3
-5 SXY 1 4 1 2
-5 SYZ 1 4 2 3
-5 SZX 1 4 3 1
-1 1-3.99985E-01-1.42795E-03-1.42795E-03 2.35174E-17-2.13794E-17-1.92415E-17
-1 2-3.99985E-01-1.42795E-03-1.42795E-03 2.35174E-17-2.13794E-17-1.92415E-17
-1 3-3.99985E-01-1.42795E-03-1.42795E-03 2.35174E-17-2.13794E-17-1.92415E-17
-1 4-3.99985E-01-1.42795E-03-1.42795E-03 2.35174E-17-2.13794E-17-1.92415E-17
-1 5-1.99992E-01-7.13975E-04-7.13975E-04 1.17587E-17-1.06897E-17-9.62075E-18
-1 6-1.99992E-01-7.13975E-04-7.13975E-04 1.18828E-13 2.09123E-14-5.16450E-13
-1 7-3.99985E-01-1.42795E-03-1.42795E-03 2.37656E-13 4.18246E-14-1.03290E-12
-1 15-1.99992E-01-7.13975E-04-7.13975E-04 1.17587E-17-1.06897E-17-9.62075E-18
-1 16-1.99992E-01-7.13975E-04-7.13975E-04 1.18828E-13 2.09123E-14-5.16450E-13
-1 17-3.99985E-01-1.42795E-03-1.42795E-03 2.37656E-13 4.18246E-14-1.03290E-12
-1 25-1.99992E-01-7.13975E-04-7.13975E-04 1.17587E-17-1.06897E-17-9.62075E-18
-1 26-1.99992E-01-7.13975E-04-7.13975E-04 1.18828E-13 2.09123E-14-5.16450E-13
-1 27-3.99985E-01-1.42795E-03-1.42795E-03 2.37656E-13 4.18246E-14-1.03290E-12
-1 35-1.99992E-01-7.13975E-04-7.13975E-04 1.17587E-17-1.06897E-17-9.62075E-18
-1 36-1.99992E-01-7.13975E-04-7.13975E-04 1.18828E-13 2.09123E-14-5.16450E-13
-1 37-3.99985E-01-1.42795E-03-1.42795E-03 2.37656E-13 4.18246E-14-1.03290E-12
-3
1PSTEP 3 1 1
100CL 101 1.000000000 16 0 1 1
-4 TOSTRAIN 6 1
-5 EXX 1 4 1 1
-5 EYY 1 4 2 2
-5 EZZ 1 4 3 3
-5 EXY 1 4 1 2
-5 EYZ 1 4 2 3
-5 EZX 1 4 3 1
-1 1-1.90061E-06 5.66647E-07 5.66647E-07 1.45584E-22-1.32349E-22-1.19114E-22
-1 2-1.90061E-06 5.66647E-07 5.66647E-07 1.45584E-22-1.32349E-22-1.19114E-22
-1 3-1.90061E-06 5.66647E-07 5.66647E-07 1.45584E-22-1.32349E-22-1.19114E-22
-1 4-1.90061E-06 5.66647E-07 5.66647E-07 1.45584E-22-1.32349E-22-1.19114E-22
-1 5-9.50305E-07 2.83324E-07 2.83324E-07 7.27919E-23-6.61744E-23-5.95570E-23
-1 6-9.50305E-07 2.83324E-07 2.83324E-07 7.35602E-19 1.29457E-19-3.19707E-18
-1 7-1.90061E-06 5.66647E-07 5.66647E-07 1.47120E-18 2.58914E-19-6.39415E-18
-1 15-9.50305E-07 2.83324E-07 2.83324E-07 7.27919E-23-6.61744E-23-5.95570E-23
-1 16-9.50305E-07 2.83324E-07 2.83324E-07 7.35602E-19 1.29457E-19-3.19707E-18
-1 17-1.90061E-06 5.66647E-07 5.66647E-07 1.47120E-18 2.58914E-19-6.39415E-18
-1 25-9.50305E-07 2.83324E-07 2.83324E-07 7.27919E-23-6.61744E-23-5.95570E-23
-1 26-9.50305E-07 2.83324E-07 2.83324E-07 7.35602E-19 1.29457E-19-3.19707E-18
-1 27-1.90061E-06 5.66647E-07 5.66647E-07 1.47120E-18 2.58914E-19-6.39415E-18
-1 35-9.50305E-07 2.83324E-07 2.83324E-07 7.27919E-23-6.61744E-23-5.95570E-23
-1 36-9.50305E-07 2.83324E-07 2.83324E-07 7.35602E-19 1.29457E-19-3.19707E-18
-1 37-1.90061E-06 5.66647E-07 5.66647E-07 1.47120E-18 2.58914E-19-6.39415E-18
-3
1PSTEP 4 1 1
100CL 101 1.000000000 16 0 1 1
-4 FORC 4 1
-5 F1 1 2 1 0
-5 F2 1 2 2 0
-5 F3 1 2 3 0
-5 ALL 1 2 0 0 1ALL
-1 1 9.99962E+00 7.13975E-02 7.13975E-02
-1 2 9.99962E+00-7.13975E-02 7.13975E-02
-1 3 9.99962E+00-7.13975E-02-7.13975E-02
-1 4 9.99962E+00 7.13975E-02-7.13975E-02
-1 5 8.88178E-15-4.59678E-15 4.65700E-16
-1 6 4.67715E-11-2.97864E-11 6.41594E-11
-1 7-9.99962E+00 7.13975E-02 7.13975E-02
-1 15 1.77636E-15-4.32354E-15-9.76442E-15
-1 16 1.18806E-10 1.10541E-11-9.57812E-12
-1 17-9.99962E+00-7.13975E-02 7.13975E-02
-1 25-1.59872E-14-6.37736E-15-1.25019E-16
-1 26-9.90994E-11 6.20382E-13 5.86180E-11
-1 27-9.99962E+00-7.13975E-02-7.13975E-02
-1 35 1.24345E-14-3.26069E-15-5.94858E-15
-1 36 7.24469E-11-5.63278E-12-9.89580E-12
-1 37-9.99962E+00 7.13975E-02-7.13975E-02
-3
1PSTEP 5 1 1
100CL 101 1.000000000 16 0 1 1
-4 ERROR 1 1
-5 STR(%) 1 1 0 0
-1 1 0.00000E+00
-1 2 0.00000E+00
-1 3 0.00000E+00
-1 4 0.00000E+00
-1 5 0.00000E+00
-1 6 0.00000E+00
-1 7 0.00000E+00
-1 15 0.00000E+00
-1 16 0.00000E+00
-1 17 0.00000E+00
-1 25 0.00000E+00
-1 26 0.00000E+00
-1 27 0.00000E+00
-1 35 0.00000E+00
-1 36 0.00000E+00
-1 37 0.00000E+00
-3
9999

節点5(56行)と6(57行)のX軸方向の変位差:(-1.90061E-05)-(-9.99981E-01) = 1mm
節点1(128行)の反力: 10N
ばね定数 10N/mmに相当

出力datファイル

以下 出力datファイル


 displacements (vx,vy,vz) for set N1 and time  0.1000000E+01

         5 -1.900610E-05 -5.666470E-06 -5.666470E-06
         6 -9.999810E-01 -5.666470E-06 -5.666470E-06

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