81
Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel 1 Analiza - Piston MESH: Entity Size Nodes 3363 Elements 11889 ELEMENT TYPE: Connectivity Statistics TE4 11889 ( 100,00% ) ELEMENT QUALITY: Criterion Good Poor Bad Worst Average Stretch 11885 ( 99,97% ) 4 ( 0,03% ) 0 ( 0,00% ) 0,292 0,590 Aspect Ratio 11884 ( 99,96% ) 5 ( 0,04% ) 0 ( 0,00% ) 5,647 2,106 Materials.1 Material Aluminium Young's modulus 7,45e+010N_m2 Poisson's ratio 0,33 Density 2760kg_m3 Coefficient of thermal expansion 2,2e-005_Kdeg Yield strength 3,72e+008N_m2

Analiza Monocilindru

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Page 1: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

1

Analiza - Piston

MESH:

Entity Size

Nodes 3363

Elements 11889

ELEMENT TYPE:

Connectivity Statistics

TE4 11889 ( 100,00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 11885 ( 99,97% ) 4 ( 0,03% ) 0 ( 0,00% ) 0,292 0,590

Aspect Ratio 11884 ( 99,96% ) 5 ( 0,04% ) 0 ( 0,00% ) 5,647 2,106

Materials.1

Material Aluminium

Young's modulus 7,45e+010N_m2

Poisson's ratio 0,33

Density 2760kg_m3

Coefficient of thermal expansion 2,2e-005_Kdeg

Yield strength 3,72e+008N_m2

Page 2: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

2

Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 3363

Number of elements : 11889

Number of D.O.F. : 10089

Number of Contact relations : 0

Number of Kinematic relations : 0

Linear tetrahedron : 11889

Page 3: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

3

RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 837

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = -1 . 109e-012 N

Fy = 1 . 525e+003 N

Fz = -9 . 998e-001 N

Mx = 7 . 134e+000 Nxm

My = -2 . 359e-001 Nxm

Mz = 1 . 230e-002 Nxm

STIFFNESS Computation

Number of lines : 10089

Number of coefficients : 181764

Number of blocks : 1

Maximum number of coefficients per bloc : 181764

Total matrix size : 2 . 12 Mb

SINGULARITY Computation

Restraint: Restraints.1

Number of local singularities : 0

Number of singularities in translation : 0

Page 4: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

4

Number of singularities in rotation : 0

Generated constraint type : MPC

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 837

Number of coefficients : 0

Number of factorized constraints : 836

Number of coefficients : 811

Number of deferred constraints : 0

FACTORIZED Computation

Method : SPARSE

Number of factorized degrees : 9253

Number of supernodes : 1036

Number of overhead indices : 61687

Number of coefficients : 1487435

Maximum front width : 655

Maximum front size : 214840

Size of the factorized matrix (Mb) : 11 . 3482

Number of blocks : 2

Number of Mflops for factorization : 5 . 149e+002

Number of Mflops for solve : 5 . 996e+000

Minimum relative pivot : 1 . 115e-001

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)

7.7480e+007 Tz 3363 3.1337e+001 -2.9314e+000 6.9931e+000

3.3746e+009 Tz 1406 2.8146e+001 -3.5111e+001 1.6097e+001

Page 5: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

5

Minimum pivot

Value Dof Node x (mm) y (mm) z (mm)

8.8229e+007 Tx 2692 1.5774e+001 -1.3082e+001 1.1582e+001

1.0204e+008 Tz 1539 3.4229e+001 2.9213e+001 3.8914e+000

1.0413e+008 Tz 1535 3.4790e+001 2.8542e+001 -2.2994e+001

1.0941e+008 Ty 31 2.0759e+001 3.7999e+001 2.0960e+001

1.1780e+008 Tx 1742 -1.7395e+001 -1.8000e+001 5.9445e+000

1.2225e+008 Tz 19 2.6533e+001 -3.1000e+001 -3.4500e+001

1.2583e+008 Ty 2707 2.7916e+001 -5.4694e+000 2.8454e+001

1.3450e+008 Tx 564 3.1088e+001 -3.0140e+001 2.6880e+001

1.4339e+008 Tx 1730 -3.1696e+001 -8.7981e+000 -2.1045e+000

Translational pivot distribution

Value Percentage

10.E7 --> 10.E8 2.1615e-002

10.E8 --> 10.E9 7.6343e+001

10.E9 --> 10.E10 2.3636e+001

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 1.367e-001 J

Page 6: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

6

Components Applied

Forces Reactions Residual

Relative

Magnitude Error

Fx (N) -1.1088e-012 -2.8767e-011 -2.9876e-011 2.1687e-014

Fy (N) 1.5250e+003 -1.5250e+003 8.2309e-011 5.9748e-014

Fz (N) -9.9982e-001 9.9982e-001 -1.8332e-012 1.3307e-015

Mx (Nxm) 7.1343e+000 -7.1343e+000 -2.3217e-012 3.7451e-014

My (Nxm) -2.3585e-001 2.3585e-001 -7.6134e-013 1.2281e-014

Mz (Nxm) 1.2305e-002 -1.2305e-002 -3.6606e-014 5.9049e-016

Static Case Solution.1 - Deformed mesh.2

Figure 2

On deformed mesh ---- On boundary ---- Over all the model

Page 7: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

7

Static Case Solution.1 - Von Mises stress (nodal values).2

Figure 3

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 8: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

8

Static Case Solution.1 - Deformed mesh.1

Figure 4

On deformed mesh ---- On boundary ---- Over all the model

Page 9: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

9

Static Case Solution.1 - Von Mises stress (nodal values).1

Figure 5

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 10: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

10

Static Case Solution.1 - Translational displacement vector.1

Figure 6

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Global Sensors

Sensor Name Sensor Value

Energy 0,137J

Page 11: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

11

Analiza - Intindere

MESH:

Entity Size

Nodes 422

Elements 1087

ELEMENT TYPE:

Connectivity Statistics

TE4 1087 ( 100,00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 1086 ( 99,91% ) 1 ( 0,09% ) 0 ( 0,00% ) 0,300 0,544

Aspect Ratio 1085 ( 99,82% ) 2 ( 0,18% ) 0 ( 0,00% ) 5,323 2,277

Materials.1

Material Steel

Young's modulus 2,1e+011N_m2

Poisson's ratio 0,28

Density 7850kg_m3

Coefficient of thermal expansion 1,1e-005_Kdeg

Yield strength 6e+008N_m2

Page 12: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

12

Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 422

Number of elements : 1087

Number of D.O.F. : 1266

Number of Contact relations : 0

Number of Kinematic relations : 0

Linear tetrahedron : 1087

Page 13: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

13

RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 78

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 0 . 000e+000 N

Fy = 0 . 000e+000 N

Fz = -4 . 938e-006 N

Mx = -2 . 252e-001 Nxm

My = -1 . 397e-001 Nxm

Mz = 0 . 000e+000 Nxm

STIFFNESS Computation

Number of lines : 1266

Number of coefficients : 19758

Number of blocks : 1

Maximum number of coefficients per bloc : 19758

Total matrix size : 0 . 23 Mb

SINGULARITY Computation

Restraint: Restraints.1

Number of local singularities : 0

Number of singularities in translation : 0

Number of singularities in rotation : 0

Generated constraint type : MPC

Page 14: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

14

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 78

Number of coefficients : 0

Number of factorized constraints : 78

Number of coefficients : 0

Number of deferred constraints : 0

FACTORIZED Computation

Method : SPARSE

Number of factorized degrees : 1188

Number of supernodes : 227

Number of overhead indices : 6528

Number of coefficients : 49617

Maximum front width : 108

Maximum front size : 5886

Size of the factorized matrix (Mb) : 0 . 378548

Number of blocks : 1

Number of Mflops for factorization : 2 . 993e+000

Number of Mflops for solve : 2 . 044e-001

Minimum relative pivot : 4 . 152e-003

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)

3.4561e+007 Tx 422 0.0000e+000 6.7075e+000 1.1100e+002

9.2776e+009 Tx 286 0.0000e+000 4.9974e-001 1.0801e+002

Minimum pivot

Value Dof Node x (mm) y (mm) z (mm)

1.6774e+008 Ty 226 -7.0000e+000 8.0000e+000 1.2671e+001

Page 15: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

15

1.7214e+008 Ty 422 0.0000e+000 6.7075e+000 1.1100e+002

2.7586e+008 Tz 266 7.0000e+000 -8.0000e+000 4.3039e+001

2.9372e+008 Tx 266 7.0000e+000 -8.0000e+000 4.3039e+001

3.4376e+008 Tx 420 3.5000e+000 -5.6569e+000 9.8657e+001

3.6046e+008 Tz 226 -7.0000e+000 8.0000e+000 1.2671e+001

3.6424e+008 Ty 356 -3.5000e+000 2.5612e-002 1.9069e+001

4.0277e+008 Tx 421 0.0000e+000 -6.3640e+000 1.1064e+002

4.4226e+008 Tx 135 -7.0000e+000 -1.2984e+000 1.3400e+002

Translational pivot distribution

Value Percentage

10.E7 --> 10.E8 8.4175e-002

10.E8 --> 10.E9 9.5118e+000

10.E9 --> 10.E10 9.0404e+001

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 1.695e-002 J

Equilibrium

Components Applied

Forces Reactions Residual

Relative

Magnitude Error

Fx (N) 0.0000e+000 -2.5949e-011 -2.5949e-011 4.0720e-014

Page 16: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

16

Fy (N) 0.0000e+000 2.6930e-012 2.6930e-012 4.2258e-015

Fz (N) -4.9375e-006 4.9375e-006 -5.2140e-011 8.1818e-014

Mx (Nxm) -2.2515e-001 2.2515e-001 3.3307e-014 3.9004e-016

My (Nxm) -1.3971e-001 1.3971e-001 -1.8067e-012 2.1157e-014

Mz (Nxm) 0.0000e+000 1.2752e-013 1.2752e-013 1.4934e-015

Static Case Solution.1 - Deformed mesh.2

Figure 2

On deformed mesh ---- On boundary ---- Over all the model

Page 17: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

17

Static Case Solution.1 - Von Mises stress (nodal values).2

Figure 3

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 18: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

18

Static Case Solution.1 - Von Mises stress (nodal values).1

Figure 4

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 19: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

19

Static Case Solution.1 - Translational displacement vector.1

Figure 5

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 20: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

20

Static Case Solution.1 - Deformed mesh.1

Figure 6

On deformed mesh ---- On boundary ---- Over all the model

Global Sensors

Sensor Name Sensor Value

Energy 0,017J

Page 21: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

21

Analiza - Comprimare

MESH:

Entity Size

Nodes 422

Elements 1087

ELEMENT TYPE:

Connectivity Statistics

TE4 1087 ( 100,00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 1086 ( 99,91% ) 1 ( 0,09% ) 0 ( 0,00% ) 0,300 0,544

Aspect Ratio 1085 ( 99,82% ) 2 ( 0,18% ) 0 ( 0,00% ) 5,323 2,277

Materials.1

Material Steel

Young's modulus 2,1e+011N_m2

Poisson's ratio 0,28

Density 7850kg_m3

Coefficient of thermal expansion 1,1e-005_Kdeg

Yield strength 6e+008N_m2

Page 22: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

22

Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 422

Number of elements : 1087

Number of D.O.F. : 1266

Number of Contact relations : 0

Number of Kinematic relations : 0

Linear tetrahedron : 1087

Page 23: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

23

RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 78

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 0 . 000e+000 N

Fy = 0 . 000e+000 N

Fz = 1 . 406e-004 N

Mx = -3 . 443e-001 Nxm

My = 3 . 170e-001 Nxm

Mz = 0 . 000e+000 Nxm

STIFFNESS Computation

Number of lines : 1266

Number of coefficients : 19758

Number of blocks : 1

Maximum number of coefficients per bloc : 19758

Total matrix size : 0 . 23 Mb

SINGULARITY Computation

Restraint: Restraints.1

Number of local singularities : 0

Number of singularities in translation : 0

Number of singularities in rotation : 0

Generated constraint type : MPC

Page 24: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

24

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 78

Number of coefficients : 0

Number of factorized constraints : 78

Number of coefficients : 0

Number of deferred constraints : 0

FACTORIZED Computation

Method : SPARSE

Number of factorized degrees : 1188

Number of supernodes : 227

Number of overhead indices : 6528

Number of coefficients : 49617

Maximum front width : 108

Maximum front size : 5886

Size of the factorized matrix (Mb) : 0 . 378548

Number of blocks : 1

Number of Mflops for factorization : 2 . 993e+000

Number of Mflops for solve : 2 . 044e-001

Minimum relative pivot : 4 . 152e-003

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)

3.4561e+007 Tx 422 0.0000e+000 6.7075e+000 1.1100e+002

9.2776e+009 Tx 286 0.0000e+000 4.9974e-001 1.0801e+002

Minimum pivot

Value Dof Node x (mm) y (mm) z (mm)

1.6774e+008 Ty 226 -7.0000e+000 8.0000e+000 1.2671e+001

Page 25: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

25

1.7214e+008 Ty 422 0.0000e+000 6.7075e+000 1.1100e+002

2.7586e+008 Tz 266 7.0000e+000 -8.0000e+000 4.3039e+001

2.9372e+008 Tx 266 7.0000e+000 -8.0000e+000 4.3039e+001

3.4376e+008 Tx 420 3.5000e+000 -5.6569e+000 9.8657e+001

3.6046e+008 Tz 226 -7.0000e+000 8.0000e+000 1.2671e+001

3.6424e+008 Ty 356 -3.5000e+000 2.5612e-002 1.9069e+001

4.0277e+008 Tx 421 0.0000e+000 -6.3640e+000 1.1064e+002

4.4226e+008 Tx 135 -7.0000e+000 -1.2984e+000 1.3400e+002

Translational pivot distribution

Value Percentage

10.E7 --> 10.E8 8.4175e-002

10.E8 --> 10.E9 9.5118e+000

10.E9 --> 10.E10 9.0404e+001

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 9.905e-001 J

Equilibrium

Components Applied

Forces Reactions Residual

Relative

Magnitude Error

Fx (N) 0.0000e+000 1.0468e-010 1.0468e-010 2.0225e-014

Page 26: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

26

Fy (N) 0.0000e+000 -5.1097e-011 -5.1097e-011 9.8724e-015

Fz (N) 1.4060e-004 -1.4060e-004 2.3462e-010 4.5331e-014

Mx (Nxm) -3.4429e-001 3.4429e-001 2.6366e-012 3.8016e-015

My (Nxm) 3.1699e-001 -3.1699e-001 1.4084e-011 2.0308e-014

Mz (Nxm) 0.0000e+000 -3.1854e-013 -3.1854e-013 4.5929e-016

Static Case Solution.1 - Deformed mesh.2

Figure 2

On deformed mesh ---- On boundary ---- Over all the model

Page 27: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

27

Static Case Solution.1 - Von Mises stress (nodal values).2

Figure 3

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 28: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

28

Static Case Solution.1 - Von Mises stress (nodal values).1

Figure 4

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 29: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

29

Static Case Solution.1 - Deformed mesh.1

Figure 5

On deformed mesh ---- On boundary ---- Over all the model

Page 30: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

30

Static Case Solution.1 - Translational displacement vector.1

Figure 6

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Global Sensors

Sensor Name Sensor Value

Energy 0,99J

Page 31: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

31

Analiza - 1

MESH:

Entity Size

Nodes 3467

Elements 14094

ELEMENT TYPE:

Connectivity Statistics

TE4 14094 ( 100,00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 14075 ( 99,87% ) 19 ( 0,13% ) 0 ( 0,00% ) 0,270 0,602

Aspect Ratio 14079 ( 99,89% ) 15 ( 0,11% ) 0 ( 0,00% ) 5,432 2,007

Materials.1

Material Steel

Young's modulus 1,85e+011N_m2

Poisson's ratio 0,26

Density 7250kg_m3

Coefficient of thermal expansion 1,05e-005_Kdeg

Yield strength 1,006e+008N_m2

Page 32: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

32

Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 3467

Number of elements : 14094

Number of D.O.F. : 10401

Number of Contact relations : 0

Number of Kinematic relations : 0

Linear tetrahedron : 14094

Page 33: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

33

RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 894

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 0 . 000e+000 N

Fy = 1 . 110e+004 N

Fz = 2 . 148e+004 N

Mx = 1 . 304e+000 Nxm

My = -2 . 928e-001 Nxm

Mz = 1 . 513e-001 Nxm

STIFFNESS Computation

Number of lines : 10401

Number of coefficients : 197526

Number of blocks : 1

Maximum number of coefficients per bloc : 197526

Total matrix size : 2 . 30 Mb

SINGULARITY Computation

Restraint: Restraints.1

Number of local singularities : 0

Number of singularities in translation : 0

Number of singularities in rotation : 0

Generated constraint type : MPC

Page 34: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

34

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 894

Number of coefficients : 0

Number of factorized constraints : 894

Number of coefficients : 172

Number of deferred constraints : 0

FACTORIZED Computation

Method : SPARSE

Number of factorized degrees : 9507

Number of supernodes : 1055

Number of overhead indices : 59955

Number of coefficients : 1164145

Maximum front width : 597

Maximum front size : 178503

Size of the factorized matrix (Mb) : 8 . 88172

Number of blocks : 2

Number of Mflops for factorization : 2 . 944e+002

Number of Mflops for solve : 4 . 704e+000

Minimum relative pivot : 6 . 980e-002

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)

2.8203e+008 Ty 3467 1.4162e+001 1.5374e+001 6.1921e+001

9.5884e+009 Tz 2746 1.4718e+001 2.7741e+001 -1.3836e+001

Minimum pivot

Value Dof Node x (mm) y (mm) z (mm)

2.9569e+008 Tz 2122 2.3537e+001 5.2562e+000 6.7595e+001

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3.2847e+008 Tz 134 -1.0000e+001 -5.9208e+000 2.7367e+001

3.4967e+008 Ty 2122 2.3537e+001 5.2562e+000 6.7595e+001

3.5435e+008 Tz 2121 2.2838e+001 -4.0923e-001 6.7141e+001

3.6098e+008 Tx 2123 2.8789e+001 4.2056e+000 6.7933e+001

3.8709e+008 Ty 2121 2.2838e+001 -4.0923e-001 6.7141e+001

3.8915e+008 Ty 1874 -1.4641e+001 2.3521e+001 -2.0194e+001

3.9139e+008 Tz 666 2.8500e+001 5.6853e+001 9.8576e+001

3.9538e+008 Ty 135 -1.0000e+001 -1.1236e+001 2.5647e+001

Translational pivot distribution

Value Percentage

10.E8 --> 10.E9 6.3637e+000

10.E9 --> 10.E10 9.3636e+001

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 2.047e-001 J

Equilibrium

Components Applied

Forces Reactions Residual

Relative

Magnitude Error

Fx (N) 0.0000e+000 3.6469e-010 3.6469e-010 1.3931e-013

Fy (N) 1.1096e+004 -1.1096e+004 1.4352e-009 5.4823e-013

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Fz (N) 2.1479e+004 -2.1479e+004 6.4756e-010 2.4736e-013

Mx (Nxm) 1.3037e+000 -1.3037e+000 -7.3739e-011 2.2690e-013

My (Nxm) -2.9282e-001 2.9282e-001 3.1162e-011 9.5891e-014

Mz (Nxm) 1.5127e-001 -1.5127e-001 -6.7044e-012 2.0630e-014

Static Case Solution.1 - Deformed mesh.2

Figure 2

On deformed mesh ---- On boundary ---- Over all the model

Page 37: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

37

Static Case Solution.1 - Von Mises stress (nodal values).2

Figure 3

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 38: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

38

Static Case Solution.1 - Deformed mesh.1

Figure 4

On deformed mesh ---- On boundary ---- Over all the model

Page 39: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

39

Static Case Solution.1 - Von Mises stress (nodal values).1

Figure 5

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 40: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

40

Static Case Solution.1 - Translational displacement vector.1

Figure 6

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Global Sensors

Sensor Name Sensor Value

Energy 0,205J

Page 41: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

41

Analiza - 2

MESH:

Entity Size

Nodes 3467

Elements 14094

ELEMENT TYPE:

Connectivity Statistics

TE4 14094 ( 100,00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 14075 ( 99,87% ) 19 ( 0,13% ) 0 ( 0,00% ) 0,270 0,602

Aspect Ratio 14079 ( 99,89% ) 15 ( 0,11% ) 0 ( 0,00% ) 5,432 2,007

Materials.1

Material Steel

Young's modulus 1,85e+011N_m2

Poisson's ratio 0,26

Density 7250kg_m3

Coefficient of thermal expansion 1,05e-005_Kdeg

Yield strength 1,006e+008N_m2

Page 42: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

42

Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 3467

Number of elements : 14094

Number of D.O.F. : 10401

Number of Contact relations : 0

Number of Kinematic relations : 0

Linear tetrahedron : 14094

Page 43: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

43

RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 894

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 0 . 000e+000 N

Fy = 6 . 578e+003 N

Fz = 2 . 905e+004 N

Mx = 9 . 722e-001 Nxm

My = -2 . 810e-001 Nxm

Mz = 6 . 363e-002 Nxm

STIFFNESS Computation

Number of lines : 10401

Number of coefficients : 197526

Number of blocks : 1

Maximum number of coefficients per bloc : 197526

Total matrix size : 2 . 30 Mb

SINGULARITY Computation

Restraint: Restraints.1

Number of local singularities : 0

Number of singularities in translation : 0

Number of singularities in rotation : 0

Generated constraint type : MPC

Page 44: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

44

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 894

Number of coefficients : 0

Number of factorized constraints : 894

Number of coefficients : 172

Number of deferred constraints : 0

FACTORIZED Computation

Method : SPARSE

Number of factorized degrees : 9507

Number of supernodes : 1055

Number of overhead indices : 59955

Number of coefficients : 1164145

Maximum front width : 597

Maximum front size : 178503

Size of the factorized matrix (Mb) : 8 . 88172

Number of blocks : 2

Number of Mflops for factorization : 2 . 944e+002

Number of Mflops for solve : 4 . 704e+000

Minimum relative pivot : 6 . 980e-002

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)

2.8203e+008 Ty 3467 1.4162e+001 1.5374e+001 6.1921e+001

9.5884e+009 Tz 2746 1.4718e+001 2.7741e+001 -1.3836e+001

Minimum pivot

Value Dof Node x (mm) y (mm) z (mm)

2.9569e+008 Tz 2122 2.3537e+001 5.2562e+000 6.7595e+001

Page 45: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

45

3.2847e+008 Tz 134 -1.0000e+001 -5.9208e+000 2.7367e+001

3.4967e+008 Ty 2122 2.3537e+001 5.2562e+000 6.7595e+001

3.5435e+008 Tz 2121 2.2838e+001 -4.0923e-001 6.7141e+001

3.6098e+008 Tx 2123 2.8789e+001 4.2056e+000 6.7933e+001

3.8709e+008 Ty 2121 2.2838e+001 -4.0923e-001 6.7141e+001

3.8915e+008 Ty 1874 -1.4641e+001 2.3521e+001 -2.0194e+001

3.9139e+008 Tz 666 2.8500e+001 5.6853e+001 9.8576e+001

3.9538e+008 Ty 135 -1.0000e+001 -1.1236e+001 2.5647e+001

Translational pivot distribution

Value Percentage

10.E8 --> 10.E9 6.3637e+000

10.E9 --> 10.E10 9.3636e+001

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 1.515e-001 J

Equilibrium

Components Applied

Forces Reactions Residual

Relative

Magnitude Error

Fx (N) 0.0000e+000 3.5244e-010 3.5244e-010 1.0221e-013

Fy (N) 6.5780e+003 -6.5780e+003 9.0677e-010 2.6298e-013

Page 46: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

46

Fz (N) 2.9053e+004 -2.9053e+004 4.2201e-010 1.2239e-013

Mx (Nxm) 9.7225e-001 -9.7225e-001 -4.7052e-011 1.0993e-013

My (Nxm) -2.8102e-001 2.8102e-001 3.3580e-011 7.8452e-014

Mz (Nxm) 6.3627e-002 -6.3627e-002 -7.8517e-012 1.8343e-014

Static Case Solution.1 - Deformed mesh.2

Figure 2

On deformed mesh ---- On boundary ---- Over all the model

Page 47: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

47

Static Case Solution.1 - Von Mises stress (nodal values).2

Figure 3

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 48: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

48

Static Case Solution.1 - Translational displacement vector.1

Figure 4

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 49: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

49

Static Case Solution.1 - Von Mises stress (nodal values).1

Figure 5

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 50: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

50

Static Case Solution.1 - Deformed mesh.1

Figure 6

On deformed mesh ---- On boundary ---- Over all the model

Global Sensors

Sensor Name Sensor Value

Energy 0,151J

Page 51: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

51

Analiza - 3

MESH:

Entity Size

Nodes 3467

Elements 14094

ELEMENT TYPE:

Connectivity Statistics

TE4 14094 ( 100,00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 14075 ( 99,87% ) 19 ( 0,13% ) 0 ( 0,00% ) 0,270 0,602

Aspect Ratio 14079 ( 99,89% ) 15 ( 0,11% ) 0 ( 0,00% ) 5,432 2,007

Materials.1

Material Steel

Young's modulus 1,85e+011N_m2

Poisson's ratio 0,26

Density 7250kg_m3

Coefficient of thermal expansion 1,05e-005_Kdeg

Yield strength 1,006e+008N_m2

Page 52: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

52

Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 3467

Number of elements : 14094

Number of D.O.F. : 10401

Number of Contact relations : 0

Number of Kinematic relations : 0

Linear tetrahedron : 14094

Page 53: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

53

RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 894

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 0 . 000e+000 N

Fy = -4 . 754e+003 N

Fz = 1 . 316e+004 N

Mx = -5 . 443e-001 Nxm

My = -6 . 133e-002 Nxm

Mz = -2 . 215e-002 Nxm

STIFFNESS Computation

Number of lines : 10401

Number of coefficients : 197526

Number of blocks : 1

Maximum number of coefficients per bloc : 197526

Total matrix size : 2 . 30 Mb

SINGULARITY Computation

Restraint: Restraints.1

Number of local singularities : 0

Number of singularities in translation : 0

Number of singularities in rotation : 0

Generated constraint type : MPC

Page 54: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

54

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 894

Number of coefficients : 0

Number of factorized constraints : 894

Number of coefficients : 172

Number of deferred constraints : 0

FACTORIZED Computation

Method : SPARSE

Number of factorized degrees : 9507

Number of supernodes : 1055

Number of overhead indices : 59955

Number of coefficients : 1164145

Maximum front width : 597

Maximum front size : 178503

Size of the factorized matrix (Mb) : 8 . 88172

Number of blocks : 2

Number of Mflops for factorization : 2 . 944e+002

Number of Mflops for solve : 4 . 704e+000

Minimum relative pivot : 6 . 980e-002

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)

2.8203e+008 Ty 3467 1.4162e+001 1.5374e+001 6.1921e+001

9.5884e+009 Tz 2746 1.4718e+001 2.7741e+001 -1.3836e+001

Minimum pivot

Value Dof Node x (mm) y (mm) z (mm)

2.9569e+008 Tz 2122 2.3537e+001 5.2562e+000 6.7595e+001

Page 55: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

55

3.2847e+008 Tz 134 -1.0000e+001 -5.9208e+000 2.7367e+001

3.4967e+008 Ty 2122 2.3537e+001 5.2562e+000 6.7595e+001

3.5435e+008 Tz 2121 2.2838e+001 -4.0923e-001 6.7141e+001

3.6098e+008 Tx 2123 2.8789e+001 4.2056e+000 6.7933e+001

3.8709e+008 Ty 2121 2.2838e+001 -4.0923e-001 6.7141e+001

3.8915e+008 Ty 1874 -1.4641e+001 2.3521e+001 -2.0194e+001

3.9139e+008 Tz 666 2.8500e+001 5.6853e+001 9.8576e+001

3.9538e+008 Ty 135 -1.0000e+001 -1.1236e+001 2.5647e+001

Translational pivot distribution

Value Percentage

10.E8 --> 10.E9 6.3637e+000

10.E9 --> 10.E10 9.3636e+001

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 4.759e-002 J

Equilibrium

Components Applied

Forces Reactions Residual

Relative

Magnitude Error

Fx (N) 0.0000e+000 2.2010e-011 2.2010e-011 1.3324e-014

Fy (N) -4.7540e+003 4.7540e+003 -5.6389e-010 3.4135e-013

Page 56: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

56

Fz (N) 1.3164e+004 -1.3164e+004 -3.0741e-010 1.8609e-013

Mx (Nxm) -5.4432e-001 5.4432e-001 2.8796e-011 1.4042e-013

My (Nxm) -6.1334e-002 6.1334e-002 8.9804e-012 4.3791e-014

Mz (Nxm) -2.2150e-002 2.2150e-002 8.6758e-013 4.2306e-015

Static Case Solution.1 - Deformed mesh.2

Figure 2

On deformed mesh ---- On boundary ---- Over all the model

Page 57: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

57

Static Case Solution.1 - Von Mises stress (nodal values).2

Figure 3

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 58: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

58

Static Case Solution.1 - Translational displacement vector.1

Figure 4

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 59: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

59

Static Case Solution.1 - Von Mises stress (nodal values).1

Figure 5

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 60: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

60

Static Case Solution.1 - Deformed mesh.1

Figure 6

On deformed mesh ---- On boundary ---- Over all the model

Global Sensors

Sensor Name Sensor Value

Energy 0,048J

Page 61: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

61

Analiza - 4

MESH:

Entity Size

Nodes 3467

Elements 14094

ELEMENT TYPE:

Connectivity Statistics

TE4 14094 ( 100,00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 14075 ( 99,87% ) 19 ( 0,13% ) 0 ( 0,00% ) 0,270 0,602

Aspect Ratio 14079 ( 99,89% ) 15 ( 0,11% ) 0 ( 0,00% ) 5,432 2,007

Materials.1

Material Steel

Young's modulus 1,85e+011N_m2

Poisson's ratio 0,26

Density 7250kg_m3

Coefficient of thermal expansion 1,05e-005_Kdeg

Yield strength 1,006e+008N_m2

Page 62: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

62

Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 3467

Number of elements : 14094

Number of D.O.F. : 10401

Number of Contact relations : 0

Number of Kinematic relations : 0

Linear tetrahedron : 14094

Page 63: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

63

RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 894

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 0 . 000e+000 N

Fy = -1 . 274e+003 N

Fz = -2 . 795e+003 N

Mx = 9 . 249e-002 Nxm

My = 7 . 768e-003 Nxm

Mz = -3 . 541e-003 Nxm

STIFFNESS Computation

Number of lines : 10401

Number of coefficients : 197526

Number of blocks : 1

Maximum number of coefficients per bloc : 197526

Total matrix size : 2 . 30 Mb

SINGULARITY Computation

Restraint: Restraints.1

Number of local singularities : 0

Number of singularities in translation : 0

Number of singularities in rotation : 0

Generated constraint type : MPC

Page 64: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

64

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 894

Number of coefficients : 0

Number of factorized constraints : 894

Number of coefficients : 172

Number of deferred constraints : 0

FACTORIZED Computation

Method : SPARSE

Number of factorized degrees : 9507

Number of supernodes : 1055

Number of overhead indices : 59955

Number of coefficients : 1164145

Maximum front width : 597

Maximum front size : 178503

Size of the factorized matrix (Mb) : 8 . 88172

Number of blocks : 2

Number of Mflops for factorization : 2 . 944e+002

Number of Mflops for solve : 4 . 704e+000

Minimum relative pivot : 6 . 980e-002

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)

2.8203e+008 Ty 3467 1.4162e+001 1.5374e+001 6.1921e+001

9.5884e+009 Tz 2746 1.4718e+001 2.7741e+001 -1.3836e+001

Minimum pivot

Value Dof Node x (mm) y (mm) z (mm)

2.9569e+008 Tz 2122 2.3537e+001 5.2562e+000 6.7595e+001

Page 65: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

65

3.2847e+008 Tz 134 -1.0000e+001 -5.9208e+000 2.7367e+001

3.4967e+008 Ty 2122 2.3537e+001 5.2562e+000 6.7595e+001

3.5435e+008 Tz 2121 2.2838e+001 -4.0923e-001 6.7141e+001

3.6098e+008 Tx 2123 2.8789e+001 4.2056e+000 6.7933e+001

3.8709e+008 Ty 2121 2.2838e+001 -4.0923e-001 6.7141e+001

3.8915e+008 Ty 1874 -1.4641e+001 2.3521e+001 -2.0194e+001

3.9139e+008 Tz 666 2.8500e+001 5.6853e+001 9.8576e+001

3.9538e+008 Ty 135 -1.0000e+001 -1.1236e+001 2.5647e+001

Translational pivot distribution

Value Percentage

10.E8 --> 10.E9 6.3637e+000

10.E9 --> 10.E10 9.3636e+001

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 2.998e-003 J

Equilibrium

Components Applied

Forces Reactions Residual

Relative

Magnitude Error

Fx (N) 0.0000e+000 -4.0896e-011 -4.0896e-011 1.2508e-013

Fy (N) -1.2740e+003 1.2740e+003 -1.6485e-010 5.0416e-013

Page 66: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

66

Fz (N) -2.7950e+003 2.7950e+003 -8.2309e-011 2.5173e-013

Mx (Nxm) 9.2490e-002 -9.2490e-002 8.3960e-012 2.0685e-013

My (Nxm) 7.7684e-003 -7.7684e-003 -3.4754e-012 8.5623e-014

Mz (Nxm) -3.5409e-003 3.5409e-003 1.0131e-012 2.4958e-014

Static Case Solution.1 - Deformed mesh.2

Figure 2

On deformed mesh ---- On boundary ---- Over all the model

Page 67: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

67

Static Case Solution.1 - Von Mises stress (nodal values).2

Figure 3

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 68: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

68

Static Case Solution.1 - Translational displacement vector.1

Figure 4

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 69: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

69

Static Case Solution.1 - Von Mises stress (nodal values).1

Figure 5

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Page 70: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

70

Static Case Solution.1 - Deformed mesh.1

Figure 6

On deformed mesh ---- On boundary ---- Over all the model

Global Sensors

Sensor Name Sensor Value

Energy 0,003J

Page 71: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

71

Analiza Ansamblu

MESH:

Entity Size

Nodes 7633

Elements 28711

ELEMENT TYPE:

Connectivity Statistics

SPIDER 242 ( 0,84% )

TE4 28469 ( 99,16% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 28445 ( 99,92% ) 24 ( 0,08% ) 0 ( 0,00% ) 0,270 0,600

Aspect Ratio 28447 ( 99,92% ) 22 ( 0,08% ) 0 ( 0,00% ) 5,647 2,043

Materials.1

Material Steel

Young's modulus 1,85e+011N_m2

Poisson's ratio 0,26

Density 7250kg_m3

Coefficient of thermal expansion 1,05e-005_Kdeg

Yield strength 1,006e+008N_m2

Page 72: Analiza Monocilindru

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72

Material Steel

Young's modulus 2,1e+011N_m2

Poisson's ratio 0,28

Density 7850kg_m3

Coefficient of thermal expansion 1,1e-005_Kdeg

Yield strength 6e+008N_m2

Material Iron

Young's modulus 1,85e+011N_m2

Poisson's ratio 0,26

Density 7250kg_m3

Coefficient of thermal expansion 1,05e-005_Kdeg

Yield strength 1,006e+008N_m2

Material Aluminium

Young's modulus 7,45e+010N_m2

Poisson's ratio 0,33

Density 2760kg_m3

Coefficient of thermal expansion 2,2e-005_Kdeg

Yield strength 3,72e+008N_m2

Page 73: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

73

Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 7633

Number of elements : 28711

Number of D.O.F. : 22899

Number of Contact relations : 0

Number of Kinematic relations : 466

Number of coefficients : 4356

Linear tetrahedron : 28469

Page 74: Analiza Monocilindru

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74

Solid to solid fastened join : 112

Slider join : 130

RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 1725

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 7 . 631e-013 N

Fy = -2 . 143e+002 N

Fz = -3 . 639e+003 N

Mx = 3 . 479e+001 Nxm

My = 2 . 876e-002 Nxm

Mz = -1 . 694e-003 Nxm

STIFFNESS Computation

Number of lines : 22899

Number of coefficients : 419541

Number of blocks : 1

Maximum number of coefficients per bloc : 419541

Total matrix size : 4 . 89 Mb

SINGULARITY Computation

Restraint: Restraints.1

Number of local singularities : 0

Page 75: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

75

Number of singularities in translation : 0

Number of singularities in rotation : 0

Generated constraint type : MPC

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 2191

Number of coefficients : 0

Number of factorized constraints : 2191

Number of coefficients : 5718

Number of deferred constraints : 0

FACTORIZED Computation

Method : SPARSE

Number of factorized degrees : 20708

Number of supernodes : 1667

Number of overhead indices : 115810

Number of coefficients : 3116316

Maximum front width : 694

Maximum front size : 241165

Size of the factorized matrix (Mb) : 23 . 7756

Number of blocks : 4

Number of Mflops for factorization : 9 . 840e+002

Number of Mflops for solve : 1 . 257e+001

Minimum relative pivot : 5 . 639e-004

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)

4.1249e+006 Tx 7633 0.0000e+000 1.4522e+001 2.8889e+002

1.0874e+010 Tx 3020 3.3972e+001 -1.6814e+001 1.7315e+002

Minimum pivot

Page 76: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

76

Value Dof Node x (mm) y (mm) z (mm)

1.3700e+007 Tz 4252 -3.6000e+001 3.3422e+001 3.0448e+002

8.8255e+007 Tx 466 -5.8000e+001 -9.2753e+000 1.4226e+002

1.0196e+008 Tx 773 -1.0000e+001 1.8660e+001 8.8852e+001

1.0422e+008 Ty 770 -1.0000e+001 2.6700e+000 8.7322e+001

1.0952e+008 Ty 3912 -2.0759e+001 -2.8015e+001 3.3286e+002

1.1722e+008 Tz 3499 -3.6000e+001 1.2669e+001 2.8853e+002

1.2248e+008 Ty 3906 -3.0000e+001 2.7606e+001 3.2478e+002

1.2253e+008 Tx 4253 2.2206e+001 4.6536e+001 3.2012e+002

1.2611e+008 Ty 481 -5.8000e+001 6.7461e+000 1.5228e+002

Translational pivot distribution

Value Percentage

10.E6 --> 10.E7 4.8291e-003

10.E7 --> 10.E8 9.6581e-003

10.E8 --> 10.E9 3.8096e+001

10.E9 --> 10.E10 6.1875e+001

10.E10 --> 10.E11 1.4487e-002

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 4.757e-002 J

Page 77: Analiza Monocilindru

Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

77

Equilibrium

Components Applied

Forces Reactions Residual

Relative

Magnitude Error

Fx (N) 7.6314e-013 -7.6525e-011 -7.5762e-011 1.1976e-013

Fy (N) -2.1433e+002 2.1433e+002 -1.0911e-010 1.7248e-013

Fz (N) -3.6393e+003 3.6393e+003 -5.6798e-010 8.9784e-013

Mx (Nxm) 3.4787e+001 -3.4787e+001 3.9130e-011 1.8088e-013

My (Nxm) 2.8757e-002 -2.8757e-002 -4.6803e-011 2.1636e-013

Mz (Nxm) -1.6936e-003 1.6936e-003 1.2767e-011 5.9018e-014

Static Case Solution.1 - Deformed mesh.2

Figure 2

On deformed mesh ---- On boundary ---- Over all the model

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Static Case Solution.1 - Von Mises stress (nodal values).2

Figure 3

1D elements: : Components: : All

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

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Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

79

Static Case Solution.1 - Deformed mesh.1

Figure 4

On deformed mesh ---- On boundary ---- Over all the model

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Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

80

Static Case Solution.1 - Translational displacement vector.1

Figure 5

1D elements: : Components: : All

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

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Anexă – Analiză cu Metoda Elementului Finit Crascov Daniel

81

Static Case Solution.1 - Von Mises stress (nodal values).1

Figure 6

1D elements: : Components: : All

3D elements: : Components: : All

On deformed mesh ---- On boundary ---- Over all the model

Global Sensors

Sensor Name Sensor Value

Energy 0,048J