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