Spring Analysis1

### MESH:

Entity | Size
--- | ---
Nodes | 4898
Elements | 14621

### ELEMENT TYPE:

Connectivity | Statistics
--- | ---
TE4 | 14621 ( 100.00% )

### ELEMENT QUALITY:

Criterion | Good | Poor | Bad | Worst | Average
--- | --- | --- | --- | --- | ---
Stretch | 14621 ( 100.00% ) | 0 ( 0.00% ) | 0 ( 0.00% ) | 0.330 | 0.627
Aspect Ratio | 13564 ( 92.77% ) | 1057 ( 7.23% ) | 0 ( 0.00% ) | 4.052 | 1.936

### Materials.1

Material | Brass
Young's modulus | 1.31e+011N_m2
Poisson's ratio | 0.35
Density | 8216kg_m3
Coefficient of thermal expansion | 1.67e-005_Kdeg
Yield strength | 3.5e+008N_m2

# Static Case

### Boundary Conditions

Figure 1

### STRUCTURE Computation

Number of nodes | : | 4898 |
Number of elements | : | 14621 |
Number of D.O.F. | : | 14694 |
Number of Contact relations | : | 0 |
Number of Kinematic relations | : | 0 |

Linear tetrahedron | : | 14621 |

### RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 72

### LOAD Computation

Name: Loads.1

Applied load resultant :

Fx | = | 1 | . | 546e-011 | N
Fy | = | -8 | . | 731e-011 | N
Fz | = | -1 | . | 000e+002 | N
Mx | = | -6 | . | 684e-012 | Nxm
My | = | 4 | . | 060e-009 | Nxm
Mz | = | -2 | . | 738e-012 | Nxm

### STIFFNESS Computation

Number of lines | : | 14694 |  |
Number of coefficients | : | 241491 |  |
Number of blocks | : | 1 |  |
Maximum number of coefficients per bloc | : | 241491 |  |
Total matrix size | : | 2 | . | 82 | 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 | : | 72 |
Number of coefficients | : | 0 |
Number of factorized constraints | : | 72 |
Number of coefficients | : | 0 |
Number of deferred constraints | : | 0 |

### FACTORIZED Computation

Method | : | SPARSE |
Number of factorized degrees | : | 14622 |  |
Number of supernodes | : | 1239 |  |
Number of overhead indices | : | 45918 |  |
Number of coefficients | : | 717783 |  |
Maximum front width | : | 96 |  |
Maximum front size | : | 4656 |  |
Size of the factorized matrix (Mb) | : | 5 | . | 47625 |
Number of blocks | : | 1 |  |
Number of Mflops for factorization | : | 4 | . | 224e+001 |
Number of Mflops for solve | : | 2 | . | 944e+000 |
Minimum relative pivot | : | 7 | . | 506e-005 |

Minimum and maximum pivot

Value | Dof | Node | x (mm) | y (mm) | z (mm)
--- | --- | --- | --- | --- | ---
2.3057e+005 | Tz | 3415 | 5.1970e+000 | -4.1886e+001 | 1.9893e+001
4.7590e+009 | Ty | 4441 | -3.4310e+001 | 2.0347e+001 | 8.1495e+000

Minimum pivot

Value | Dof | Node | x (mm) | y (mm) | z (mm)
--- | --- | --- | --- | --- | ---
3.1196e+005 | Tz | 822 | 3.6360e+001 | 5.3764e+000 | 3.6650e+001
4.1228e+005 | Ty | 3415 | 5.1970e+000 | -4.1886e+001 | 1.9893e+001
5.7345e+005 | Tz | 4241 | 3.5951e+001 | 1.5257e+001 | 6.0815e+001
5.8651e+005 | Tz | 2042 | -4.0503e+001 | 3.5202e+000 | 1.0475e+002
6.1185e+005 | Ty | 822 | 3.6360e+001 | 5.3764e+000 | 3.6650e+001
6.4071e+005 | Ty | 4241 | 3.5951e+001 | 1.5257e+001 | 6.0815e+001
6.9987e+005 | Ty | 2042 | -4.0503e+001 | 3.5202e+000 | 1.0475e+002
7.3119e+005 | Tz | 3840 | 2.3309e+001 | 4.2027e+000 | 1.5022e+002
8.0106e+005 | Tx | 3840 | 2.3309e+001 | 4.2027e+000 | 1.5022e+002

Translational pivot distribution

Value | Percentage
--- | ---
10.E5 --> 10.E6 | 6.8390e-002
10.E6 --> 10.E7 | 1.0259e-001
10.E7 --> 10.E8 | 4.7873e-001
10.E8 --> 10.E9 | 7.4682e+001
10.E9 --> 10.E10 | 2.4668e+001

### DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 1.750e-001 J

Equilibrium

Components | Applied Forces | Reactions | Residual | Relative Magnitude Error
--- | --- | --- | --- | ---
Fx (N) | 1.5461e-011 | 8.3233e-009 | 8.3388e-009 | 3.8514e-011
Fy (N) | -8.7311e-011 | -2.5397e-009 | -2.6270e-009 | 1.2134e-011
Fz (N) | -1.0000e+002 | 1.0000e+002 | 3.1293e-008 | 1.4453e-010
Mx (Nxm) | -6.6838e-012 | -7.6761e-010 | -7.7429e-010 | 2.3102e-011
My (Nxm) | 4.0601e-009 | -3.7401e-009 | 3.1993e-010 | 9.5458e-012
Mz (Nxm) | -2.7378e-012 | 1.0761e-010 | 1.0487e-010 | 3.1290e-012

### Static Case Solution.1 - Deformed mesh.2

Figure 2

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

### 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

### Global Sensors

Sensor Name | Sensor Value
--- | ---
Energy | 0.175J
Global Error Rate (%) | 57.680408478