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Análise Dinâmica Não Linear de Contato

Esta análise utiliza os dados de tutorial/14_dynamic_plate_contact.

Modelo de análise

A análise modela o impacto de uma barra quadrada caindo sobre um piso. A Figura 4.14.1 mostra a geometria e a Figura 4.14.2 mostra os dados da malha.

Item Descrição Observações Referência
Tipo de análise Análise dinâmica não linear de contato !SOLUTION,TYPE=DYNAMIC !DYNAMIC,TYPE=NONLINEAR !CONTACT
Número de nós 10,712
Número de elementos 8,232
Tipo de elemento Elemento hexaédrico de 8 nós !ELEMENT,TYPE=361
Nomes dos materiais M1, M2 !MATERIAL,NAME=M1 !MATERIAL,NAME=M2
Propriedades dos materiais ELASTIC, PLASTIC !ELASTIC !PLASTIC
Condições de contorno Restrições, velocidade inicial !VELOCITY,TYPE=INITIAL
Solver linear Método direto !SOLVER,METHOD=MUMPS

Geometria do piso e da barra quadrada

Fig. 4.14.1 Geometria do piso e da barra quadrada

Dados da malha do piso e da barra quadrada

Fig. 4.14.2 Dados da malha do piso e da barra quadrada

Descrição da análise

Uma velocidade inicial de 4427 mm/s é atribuída à barra quadrada e é realizada uma análise dinâmica de contato. Os dados de controle da análise são mostrados abaixo.

Dados de controle da análise 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

Resultados da análise

A Figura 4.14.3 mostra um gráfico de contorno da tensão de von Mises durante o impacto. Como resultados numéricos da análise, é mostrado abaixo um trecho do arquivo de saída de energia (dyna_energy.txt) para o nó de monitoramento.

Tensão de von Mises durante o impacto

Fig. 4.14.3 Tensão de von Mises durante o impacto

Energia do nó de monitoramento dyna_energey.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

Log dos resultados da análise 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