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Nonlinear Contact Dynamic Analysis

This analysis uses the data of tutorial/14_dynamic_plate_contact.

Analysis target

The object of the analysis was the fall impact analysis of a square material on a floor surface, and the geometry is shown in Fig. 4.14.1 and the mesh data is shown in Fig. 4.14.2.

Item Description Notes Reference
Type of analysis Nonlinear contact dynamic analysis !SOLUTION,TYPE=DYNAMIC !DYNAMIC,TYPE=NONLINEAR !CONTACT
Number of nodes 10,712
Number of elements 8,232
Element type 8-node hexahedral element !ELEMENT,TYPE=361
Material name M1, M2 !MATERIAL,NAME=M1 !MATERIAL,NAME=M2
Material properties ELASTIC, PLASTIC !ELASTIC !PLASTIC
Boundary conditions Restraint, initial velocity !VELOCITY,TYPE=INITIAL
Matrix solver Direct method !SOLVER,METHOD=MUMPS

Shape of the floor surface and square material

Fig. 4.14.1: Shape of the floor surface and square material

Mesh data of the floor surface and square material

Fig. 4.14.2: Mesh data of the floor surface and square material

Analysis content

Set an initial velocity of 4427 mm/s for the square bar being analyzed and perform a contact dynamic analysis. The analysis control data is shown below.

Analysis control data plateToGround.cnt

!!
!! Control File for FISTR
!!
!VERSION
 3
!WRITE,LOG,FREQUENCY=10
!WRITE,RESULT,FREQUENCY=10
!SOLUTION, TYPE=DYNAMIC
!DYNAMIC, TYPE=NONLINEAR
 1 , 1
 0.0, 1.0, 200, 1.0000e-8
 0.65, 0.330625
 1, 1, 0.0, 0.0
 20, 2621, 1
 1, 1, 1, 1, 1, 1
!BOUNDARY, GRPID = 1
  bottom, 1, 3, 0.0
!VELOCITY, TYPE = INITIAL
  plate, 3, 3, -4427.0
!CONTACT_ALGO, TYPE=SLAGRANGE
!CONTACT, GRPID=1, INTERACTION=FSLID
  CP1, 0.0, 1.0e+5
!STEP, CONVERG=1.0e-5, ITMAX=100
 BOUNDARY, 1
 CONTACT, 1
!MATERIAL, NAME = M1
!ELASTIC
2.00000e+5, 0.3
!PLASTIC
 1.0e+8, 0.0
!MATERIAL, NAME = M2
!ELASTIC
 1.16992e+5, 0.3
!PLASTIC
 70.0, 0.0
!SOLVER,METHOD=MUMPS
!END

Analysis results

A contour diagram of the Mises stresses during the fall impact is shown in Figure 4.14.3. In addition, a portion of the energy output file (dyna_energy.txt) for the monitoring nodes is shown below as numerical data for the analysis results.

 Mises stress of the falling impact

Fig. 4.14.3: Mises stress of the falling impact

Energy of monitoring node dyna_energy.txt

  time step     time      kinetic energy   strain energy   total energy
         0  0.0000E+000     9.7816E-003     0.0000E+000     9.7816E-003
         1  1.0000E-008     9.7756E-003     4.9470E-006     9.7806E-003
         2  2.0000E-008     9.7654E-003     1.4636E-005     9.7800E-003
         3  3.0000E-008     9.7566E-003     2.2609E-005     9.7792E-003
         4  4.0000E-008     9.7505E-003     3.7965E-005     9.7884E-003
         5  5.0000E-008     9.7425E-003     6.4932E-005     9.8074E-003
         6  6.0000E-008     9.7214E-003     8.4571E-005     9.8060E-003
         7  7.0000E-008     9.7139E-003     9.0613E-005     9.8045E-003
         8  8.0000E-008     9.7184E-003     1.0958E-004     9.8280E-003
         9  9.0000E-008     9.7175E-003     1.5717E-004     9.8747E-003
        10  1.0000E-007     9.6909E-003     1.7998E-004     9.8709E-003
        11  1.1000E-007     9.6917E-003     1.9733E-004     9.8890E-003
        12  1.2000E-007     9.7137E-003     2.2403E-004     9.9377E-003
        13  1.3000E-007     9.6813E-003     2.4397E-004     9.9253E-003

Analysis result log 0.log

 fstr_setup: OK
#### Result step=    10
 ##### Local Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    7.6111E-05      2780 -1.3733E-04      2807
 //U2    3.5826E-04      2645 -3.5826E-04      2597
 //U3    7.3650E-07      2599 -4.8426E-04      2785
 //V1    1.0743E+03      2780 -2.1388E+03      2785
 //V2    4.1975E+03      2645 -4.1975E+03      2597
 //V3    3.4753E+02      2632 -5.2027E+03      2785
 //A1    1.8419E+10      2797 -1.7512E+10      2790
 //A2    1.6413E+10      2645 -1.6413E+10      2597
 //A3    2.6159E+11      2632 -7.1824E+11      2598
 //E11   5.5643E-03      2798 -3.1738E-03      2785
 //E22   9.6885E-03      2598 -1.4502E-04      2780
 //E33   2.6801E-03      2785 -1.5067E-02      2598
 //E12   5.7146E-03      2778 -5.7146E-03      2782
 //E23   8.8189E-03      2597 -8.8189E-03      2645
 //E31   9.6709E-03      2785 -8.9273E-03      2780
 //S11   2.3553E+01      2890 -6.9294E+01      2621
 //S22   3.9504E+01      2797 -6.4266E+01      2621
 //S33   1.5165E+01      2827 -1.3217E+02      2621
 //S12   1.9751E+01      2778 -1.9751E+01      2782
 //S23   1.9616E+01      2838 -1.9616E+01      2842
 //S31   3.7803E+01      2868 -3.4973E+01      2867
 //SMS   7.7288E+01      2840  1.4896E-13     10709
 ##### Local Summary @Element :Max/IdMax/Min/IdMin####
 //E11   3.3315E-03      2188 -3.5688E-03      2198
 //E22   4.2263E-03      2185 -1.6011E-05      1817
 //E33   2.8970E-03      2198 -7.3958E-03      2185
 //E12   4.8924E-03      2186 -4.8924E-03      2192
 //E23   3.4853E-03      2205 -3.4853E-03      2208
 //E31   1.1270E-02      2187 -9.6668E-03      2188
 //S11   2.6052E+01      2241 -7.3461E+01      2189
 //S22   5.6465E+01      2194 -7.8034E+01      2189
 //S33   7.5395E+01      2194 -1.1968E+02      2189
 //S12   1.3438E+01      2186 -1.3438E+01      2192
 //S23   1.4576E+01      2205 -1.4576E+01      2208
 //S31   3.5356E+01      2217 -3.3931E+01      2220
 //SMS   6.8689E+01      2233  1.4239E-13      8230
 ##### Global Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    7.6111E-05      2780 -1.3733E-04      2807
 //U2    3.5826E-04      2645 -3.5826E-04      2597
 //U3    7.3650E-07      2599 -4.8426E-04      2785
 //V1    1.0743E+03      2780 -2.1388E+03      2785
 //V2    4.1975E+03      2645 -4.1975E+03      2597
 //V3    3.4753E+02      2632 -5.2027E+03      2785
 //A1    1.8419E+10      2797 -1.7512E+10      2790
 //A2    1.6413E+10      2645 -1.6413E+10      2597
 //A3    2.6159E+11      2632 -7.1824E+11      2598
 //E11   5.5643E-03      2798 -3.1738E-03      2785
 //E22   9.6885E-03      2598 -1.4502E-04      2780
 //E33   2.6801E-03      2785 -1.5067E-02      2598
 //E12   5.7146E-03      2778 -5.7146E-03      2782
 //E23   8.8189E-03      2597 -8.8189E-03      2645
 //E31   9.6709E-03      2785 -8.9273E-03      2780
 //S11   2.3553E+01      2890 -6.9294E+01      2621
 //S22   3.9504E+01      2797 -6.4266E+01      2621
 //S33   1.5165E+01      2827 -1.3217E+02      2621
 //S12   1.9751E+01      2778 -1.9751E+01      2782
 //S23   1.9616E+01      2838 -1.9616E+01      2842
 //S31   3.7803E+01      2868 -3.4973E+01      2867
 //SMS   7.7288E+01      2840  1.4896E-13     10709
  ##### Global Summary @Element :Max/IdMax/Min/IdMin####
 //E11   3.3315E-03      2188 -3.5688E-03      2198
 //E22   4.2263E-03      2185 -1.6011E-05      1817
 //E33   2.8970E-03      2198 -7.3958E-03      2185
 //E12   4.8924E-03      2186 -4.8924E-03      2192
 //E23   3.4853E-03      2205 -3.4853E-03      2208
 //E31   1.1270E-02      2187 -9.6668E-03      2188
 //S11   2.6052E+01      2241 -7.3461E+01      2189
 //S22   5.6465E+01      2194 -7.8034E+01      2189
 //S33   7.5395E+01      2194 -1.1968E+02      2189
 //S12   1.3438E+01      2186 -1.3438E+01      2192
 //S23   1.4576E+01      2205 -1.4576E+01      2208
 //S31   3.5356E+01      2217 -3.3931E+01      2220
 //SMS   6.8689E+01      2233  1.4239E-13      8230

 ...

#### Result step=   200
 ##### Local Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    1.0996E-03      2818 -2.9048E-03      2803
 //U2    8.2012E-03      2645 -8.2012E-03      2597
 //U3    1.1800E-06      2465 -8.5895E-03      5373
 //V1    8.9566E+02     10712 -2.1228E+03      2831
 //V2    3.4246E+03      2645 -3.4246E+03      2597
 //V3    3.2884E+02      2794 -4.0108E+03      5377
 //A1    2.1058E+09      9165 -1.2760E+09      4757
 //A2    7.5110E+08      2769 -7.5110E+08      2478
 //A3    4.4278E+09      8975 -1.0747E+09      2465
 //E11   5.4925E-02      2838 -4.1160E-02      2788
 //E22   2.2537E-01      2621 -4.2604E-04      2921
 //E33   1.4576E-02      2815 -2.7463E-01      2621
 //E12   9.7058E-02      2789 -9.7058E-02      2791
 //E23   7.4272E-02      2779 -7.4272E-02      2781
 //E31   1.3776E-01      2785 -1.5350E-01      2780
 //S11   4.2677E+01      3113 -6.9474E+01      2621
 //S22   4.7637E+01      2815 -4.2010E+01      2921
 //S33   1.6261E+01      2853 -1.1496E+02      2780
 //S12   2.2732E+01      2830 -2.2732E+01      2826
 //S23   4.0309E+01      2597 -4.0309E+01      2645
 //S31   3.8697E+01      2913 -3.7722E+01      3054
 //SMS   9.0611E+01      2597  6.2561E-02      9662
 ##### Local Summary @Element :Max/IdMax/Min/IdMin####
 //E11   5.4784E-02      2209 -4.6698E-02      2201
 //E22   1.8822E-01      2188 -7.6612E-05      2323
 //E33   2.2781E-02      2202 -2.2608E-01      2188
 //E12   1.0327E-01      2193 -1.0327E-01      2196
 //E23   4.0800E-02      2210 -4.0800E-02      2211
 //E31   1.3391E-01      2189 -1.7023E-01      2194
 //S11   4.3368E+01      2434 -7.5148E+01      2188
 //S22   6.8745E+01      2203 -4.7855E+01      2048
 //S33   7.0360E+01      2202 -1.1351E+02      2188
 //S12   1.9354E+01      2193 -1.9354E+01      2196
 //S23   1.4194E+01      1796 -1.4194E+01      1754
 //S31   3.8915E+01      2367 -3.3190E+01      2298
 //SMS   6.9701E+01      2187  3.8349E-02      7504
 ##### Global Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    1.0996E-03      2818 -2.9048E-03      2803
 //U2    8.2012E-03      2645 -8.2012E-03      2597
 //U3    1.1800E-06      2465 -8.5895E-03      5373
 //V1    8.9566E+02     10712 -2.1228E+03      2831
 //V2    3.4246E+03      2645 -3.4246E+03      2597
 //V3    3.2884E+02      2794 -4.0108E+03      5377
 //A1    2.1058E+09      9165 -1.2760E+09      4757
 //A2    7.5110E+08      2769 -7.5110E+08      2478
 //A3    4.4278E+09      8975 -1.0747E+09      2465
 //E11   5.4925E-02      2838 -4.1160E-02      2788
 //E22   2.2537E-01      2621 -4.2604E-04      2921
 //E33   1.4576E-02      2815 -2.7463E-01      2621
 //E12   9.7058E-02      2789 -9.7058E-02      2791
 //E23   7.4272E-02      2779 -7.4272E-02      2781
 //E31   1.3776E-01      2785 -1.5350E-01      2780
 //S11   4.2677E+01      3113 -6.9474E+01      2621
 //S22   4.7637E+01      2815 -4.2010E+01      2921
 //S33   1.6261E+01      2853 -1.1496E+02      2780
 //S12   2.2732E+01      2830 -2.2732E+01      2826
 //S23   4.0309E+01      2597 -4.0309E+01      2645
 //S31   3.8697E+01      2913 -3.7722E+01      3054
 //SMS   9.0611E+01      2597  6.2561E-02      9662
 ##### Global Summary @Element :Max/IdMax/Min/IdMin####
 //E11   5.4784E-02      2209 -4.6698E-02      2201
 //E22   1.8822E-01      2188 -7.6612E-05      2323
 //E33   2.2781E-02      2202 -2.2608E-01      2188
 //E12   1.0327E-01      2193 -1.0327E-01      2196
 //E23   4.0800E-02      2210 -4.0800E-02      2211
 //E31   1.3391E-01      2189 -1.7023E-01      2194
 //S11   4.3368E+01      2434 -7.5148E+01      2188
 //S22   6.8745E+01      2203 -4.7855E+01      2048
 //S33   7.0360E+01      2202 -1.1351E+02      2188
 //S12   1.9354E+01      2193 -1.9354E+01      2196
 //S23   1.4194E+01      1796 -1.4194E+01      1754
 //S31   3.8915E+01      2367 -3.3190E+01      2298
 //SMS   6.9701E+01      2187  3.8349E-02      7504
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