Biela CATIA

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Analiza statica

Analysis1

MESH:

Entity Size

Nodes 2006

Elements 7147

ELEMENT TYPE:

Connectivity Statistics

TE4 7147 ( 100.00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 7147 ( 100.00% ) 0 ( 0.00% ) 0 ( 0.00% ) 0.317 0.623

Aspect Ratio 7147 ( 100.00% ) 0 ( 0.00% ) 0 ( 0.00% ) 4.095 1.938

Materials.1

Material Steel

Young's modulus 2e+011N_m2

Poisson's ratio 0.266

Density 7860kg_m3

Coefficient of thermal expansion 1.17e-005_Kdeg

Yield strength 2.5e+008N_m2

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Static CaseBoundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 2006  Number of elements : 7147  Number of D.O.F. : 6018  Number of Contact relations : 0  Number of Kinematic relations : 0  

Linear tetrahedron : 7147  

RESTRAINT Computation

Name: Restraints.1

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Number of S.P.C : 564

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 0 . 000e+000  NFy = -3 . 097e-001  NFz = -1 . 200e+004  NMx = 2 . 779e+001  NxmMy = 1 . 229e-001  NxmMz = 2 . 130e-001  Nxm

STIFFNESS Computation

Number of lines : 6018    Number of coefficients : 107517    Number of blocks : 1    Maximum number of coefficients per bloc : 107517     Total matrix size : 1 . 25  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 

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 564  

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Number of coefficients : 0  Number of factorized constraints : 564  Number of coefficients : 0  Number of deferred constraints : 0  

FACTORIZED Computation

Method :  SPARSE  Number of factorized degrees : 5454    Number of supernodes : 722    Number of overhead indices : 30723    Number of coefficients : 390276    Maximum front width : 240    Maximum front size : 28920    Size of the factorized matrix (Mb) : 2 . 97757  Number of blocks : 1    Number of Mflops for factorization : 4 . 221e+001  Number of Mflops for solve : 1 . 588e+000  Minimum relative pivot : 2 . 119e-002  

Minimum and maximum pivot

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

7.5826e+007 Ty 875 7.4281e+000 1.9976e+001 1.2095e+002

1.0875e+010 Tx 1365 -2.2500e+001 -4.6219e+001 6.1621e+001

Minimum pivot

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

1.5802e+008 Tx 2006 -3.2409e+000 1.1073e+001 1.8138e+001

1.8880e+008 Tx 2005 9.5887e+000 2.7660e+001 1.8083e+001

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1.9754e+008 Tz 875 7.4281e+000 1.9976e+001 1.2095e+002

2.1718e+008 Tx 875 7.4281e+000 1.9976e+001 1.2095e+002

2.7844e+008 Ty 873 7.9089e+000 4.0921e+001 1.0170e+002

3.4379e+008 Tz 792 1.4856e+001 4.2260e+001 6.1621e+001

3.4547e+008 Ty 49 -1.5000e+001 1.9515e+001 1.4440e+002

3.5707e+008 Ty 655 -9.2063e-001 -2.3830e+001 2.6618e+002

3.5927e+008 Ty 69 5.0000e+000 5.4692e+001 6.1621e+001

Translational pivot distribution

Value Percentage

10.E7 --> 10.E8 1.8335e-002

10.E8 --> 10.E9 6.4356e+000

10.E9 --> 10.E10 9.3473e+001

10.E10 --> 10.E11 7.3341e-002

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 6.794e-002 J

Equilibrium

ComponentsAppliedForces

Reactions ResidualRelative

Magnitude Error

Fx (N) 0.0000e+000 -1.0161e-011 -1.0161e-011 1.1620e-014

Fy (N) -3.0969e-001 3.0969e-001 -3.4106e-011 3.9003e-014

Fz (N) -1.2000e+004 1.2000e+004 -1.4552e-010 1.6641e-013

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Mx (Nxm) 2.7787e+001 -2.7787e+001 8.1783e-012 3.1269e-014

My (Nxm) 1.2295e-001 -1.2295e-001 1.3275e-012 5.0756e-015

Mz (Nxm) 2.1303e-001 -2.1303e-001 -8.8302e-013 3.3761e-015

Static Case Solution.1 - Deformed mesh.1

Figure 2

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

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

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Figure 3

3D elements: : Components: : All

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

Global Sensors

Sensor Name Sensor Value

Energy 0.068J

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Analiza dinamica

Analysis1

MESH:

Entity Size

Nodes 1202

Elements 4350

ELEMENT TYPE:

Connectivity Statistics

TE4 4350 ( 100.00% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 4350 ( 100.00% ) 0 ( 0.00% ) 0 ( 0.00% ) 0.317 0.612

Aspect Ratio 4350 ( 100.00% ) 0 ( 0.00% ) 0 ( 0.00% ) 4.095 1.992

Materials.1

Material Steel

Young's modulus 2e+011N_m2

Poisson's ratio 0.266

Density 7860kg_m3

Coefficient of thermal expansion 1.17e-005_Kdeg

Yield strength 2.5e+008N_m2

Free Frequency Case19

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 1202  Number of elements : 4350  Number of D.O.F. : 3606  Number of Contact relations : 0  Number of Kinematic relations : 0  

Linear tetrahedron : 4350  

STRUCTURAL MASS Computation

Name: StructuralMassSet.1

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Number of lines : 3606    Number of coefficients : 64974    Number of blocks : 1    Maximum number of coefficients per bloc : 64974     Total matrix size : 0 . 76  Mb

Structural mass : 2.725e+000 kg

Inertia center coordinates

Xg : 2 . 218e-003  mmYg : 2 . 011e-003  mmZg : 7 . 761e+001  mm

Inertia tensor at origin: kgxm2

2.970e-002 -1.949e-007 -2.125e-006

-1.949e-007 2.736e-002 1.263e-006

-2.125e-006 1.263e-006 2.989e-003

Name: Computed Masses.1

Number of lines : 3606    Number of coefficients : 3606    Number of blocks : 1    Maximum number of coefficients per bloc : 3606     Total matrix size : 0 . 06  Mb

Additionnal mass : 0.000e+000 kg

Inertia center coordinates

Xg : 0 . 000e+000  mmYg : 0 . 000e+000  mmZg : 0 . 000e+000  mm

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Inertia tensor at origin: kgxm2

0. 0. 0.

0. 0. 0.

0. 0. 0.

STIFFNESS Computation

Number of lines : 3606    Number of coefficients : 64974    Number of blocks : 1    Maximum number of coefficients per bloc : 64974     Total matrix size : 0 . 76  Mb

STIFFNESS-SHIFT Computation

Number of lines : 3606    Number of coefficients : 64974    Number of blocks : 1    Maximum number of coefficients per bloc : 64974     Total matrix size : 0 . 76  Mb

SINGULARITY Computation

No Restraint

Number of local singularities : 0  Number of singularities in translation : 0  Number of singularities in rotation : 0  Generated constraint type : MPC 

CONSTRAINT Computation

No Restraint

Number of constraints : 0  Number of factorized constraints : 0  Number of deferred constraints : 0  

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FACTORIZED Computation

Method :  SPARSE  Number of factorized degrees : 3606    Number of supernodes : 527    Number of overhead indices : 23217    Number of coefficients : 274776    Maximum front width : 240    Maximum front size : 28920    Size of the factorized matrix (Mb) : 2 . 09637  Number of blocks : 1    Number of Mflops for factorization : 3 . 171e+001  Number of Mflops for solve : 1 . 117e+000  Minimum relative pivot : 1 . 234e-006  

Minimum and maximum pivot

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

9.0934e+003 Tx 1202 1.2375e+001 -5.9012e+001 1.0366e+001

1.0876e+010 Tx 547 1.3885e+001 1.7894e+001 2.0776e+002

Minimum pivot

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

9.9635e+003 Ty 1202 1.2375e+001 -5.9012e+001 1.0366e+001

1.3315e+004 Tz 1202 1.2375e+001 -5.9012e+001 1.0366e+001

1.0936e+005 Tz 1201 6.4375e+000 3.8858e+001 3.1775e+001

5.1477e+005 Ty 1201 6.4375e+000 3.8858e+001 3.1775e+001

6.8830e+005 Tz 1200 1.3362e+001 4.3809e+001 2.2291e+001

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1.4495e+007 Tx 1201 6.4375e+000 3.8858e+001 3.1775e+001

7.5827e+007 Ty 149 -5.1327e+000 4.9830e+001 2.8000e+001

1.9754e+008 Tz 149 -5.1327e+000 4.9830e+001 2.8000e+001

2.1718e+008 Tx 149 -5.1327e+000 4.9830e+001 2.8000e+001

Translational pivot distribution

Value Percentage

10.E3 --> 10.E4 5.5463e-002

10.E4 --> 10.E5 2.7732e-002

10.E5 --> 10.E6 8.3195e-002

10.E6 --> 10.E7 0.0000e+000

10.E7 --> 10.E8 5.5463e-002

10.E8 --> 10.E9 5.9068e+000

10.E9 --> 10.E10 9.3760e+001

10.E10 --> 10.E11 1.1093e-001

FREQUENCY Computation

Frequency: Frequency Case Solution.1

Mass: Masses.1

Structural mass is taken into account

Total mass : 2.725e+000 kg

Inertia center coordinates

Xg : 2 . 218e-003  mmYg : 2 . 011e-003  mmZg : 7 . 761e+001  mm

Inertia tensor at inertia center: kgxm2

1.329e-002 -1.949e-007 -1.656e-006

-1.949e-007 1.095e-002 1.688e-006

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-1.656e-006 1.688e-006 2.989e-003

Number of computed modes : 10    Boundary condition for modes computation :  free  Number of iterations already performed : 0    Total Number of iterations performed : 4    Relative eigenvalues tolerance required : 1 . 000e-003  Relative eigenvalues tolerance obtained : 1 . 973e-005  

Modenumber

Frequency Hz

Stability

1 0.0000e+000 3.4561e-015

2 0.0000e+000 3.0923e-015

3 3.5502e-004 7.2760e-016

4 5.8111e-004 1.8190e-016

5 8.2129e-004 3.8199e-015

6 9.2270e-004 3.6380e-015

7 2.2812e+003 3.7922e-009

8 2.8061e+003 6.0009e-008

9 4.2450e+003 1.2322e-006

10 4.6456e+003 1.9725e-005

Modal participation :

ModeFrequency

HzTx(%)

Ty(%)

Tz(%)

Rx(%)

Ry(%)

Rz(%)

1 0.0000e+000 60.56 0.27 0.11 0.01 10.50 12.82

2 0.0000e+000 2.83 2.22 1.35 3.35 19.05 38.48

3 3.5502e-004 0.00 5.98 44.13 17.95 1.61 5.77

4 5.8111e-004 1.33 19.21 50.43 12.26 0.60 0.13

5 8.2129e-004 33.30 5.11 2.58 1.09 7.37 38.19

6 9.2270e-004 1.98 67.21 1.40 10.09 0.91 4.61

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7 2.2812e+003 0.00 0.00 0.00 0.00 0.00 0.00

8 2.8061e+003 0.00 0.00 0.00 0.00 0.00 0.00

9 4.2450e+003 0.00 0.00 0.00 0.00 0.00 0.00

10 4.6456e+003 0.00 0.00 0.00 0.00 0.00 0.00

  Total 100.00 100.00 100.00 44.75 40.02 100.00

Frequency Case Solution.1 - Deformed mesh.1

Occurrence 1 - Frequency 0Hz

Figure 2

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

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Occurrence 2 - Frequency 0Hz

Figure 3

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

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Occurrence 3 - Frequency 0.000355024Hz

Figure 4

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

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Occurrence 4 - Frequency 0.000581113Hz

Figure 5

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

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Occurrence 5 - Frequency 0.000821287Hz

Figure 6

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

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Occurrence 6 - Frequency 0.000922703Hz

Figure 7

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

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Occurrence 7 - Frequency 2281.19Hz

Figure 8

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

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Occurrence 8 - Frequency 2806.08Hz

Figure 9

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

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Occurrence 9 - Frequency 4244.96Hz

Figure 10

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

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Occurrence 10 - Frequency 4645.61Hz

Figure 11

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

Global Sensors

Sensor Name Sensor Value

Frequency

0Hz0Hz

3.55e-004Hz5.811e-004Hz8.213e-004Hz9.227e-004Hz2281.193Hz2806.079Hz4244.958Hz4645.608Hz

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