Analysis1

MESH:


Entity Size
Nodes 522
Elements 1540

ELEMENT TYPE:


Connectivity Statistics
TE4 1540 ( 100.00% )

ELEMENT QUALITY:


Criterion Good Poor Bad Worst Average
Stretch 1540 ( 100.00% ) 0 ( 0.00% ) 0 ( 0.00% ) 0.324 0.579
Aspect Ratio 1286 ( 83.51% ) 253 ( 16.43% ) 1 ( 0.06% ) 5.029 2.108

Materials.1


Material Iron
Young's modulus 2.11e+011N_m2
Poisson's ratio 0.291
Density 7870kg_m3
Coefficient of thermal expansion 1.21e-005_Kdeg
Yield strength 3.1e+008N_m2

Buckling Case

Boundary Conditions

Figure 1

See also solutions:

Static Case Solution.1

STRUCTURE Computation

Number of nodes : 522  
Number of elements : 1540  
Number of D.O.F. : 1566  
Number of Contact relations : 0  
Number of Kinematic relations : 0  


Linear tetrahedron : 1540  


RESTRAINT Computation

Name: Restraints.1

Number of S.P.C : 81

LOAD Computation


Name: Loads.1

Applied load resultant :

Fx = 0 . 000e+000  N
Fy = 0 . 000e+000  N
Fz = 0 . 000e+000  N
Mx = 0 . 000e+000  Nxm
My = 0 . 000e+000  Nxm
Mz = 0 . 000e+000  Nxm

STIFFNESS Computation

Number of lines : 1566    
Number of coefficients : 25578    
Number of blocks : 1    
Maximum number of coefficients per bloc : 25578    
Total matrix size : 0 . 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  

CONSTRAINT Computation

Restraint: Restraints.1

Number of constraints : 81  
Number of coefficients : 0  
Number of factorized constraints : 81  
Number of coefficients : 0  
Number of deferred constraints : 0  

FACTORIZED Computation

Method :  SPARSE  
Number of factorized degrees : 1485    
Number of supernodes : 290    
Number of overhead indices : 8178    
Number of coefficients : 56007    
Maximum front width : 93    
Maximum front size : 4371    
Size of the factorized matrix (Mb) : 0 . 427299  
Number of blocks : 1    
Number of Mflops for factorization : 2 . 913e+000  
Number of Mflops for solve : 2 . 315e-001  
Minimum relative pivot : 1 . 059e-004  

Minimum and maximum pivot

Value Dof Node x (mm) y (mm) z (mm)
6.3710e+005 Tz 522 1.0031e+001 7.6721e+001 3.6248e+000
1.0033e+010 Ty 433 -1.8033e-002 2.2352e+002 -6.6586e-003


Minimum pivot

Value Dof Node x (mm) y (mm) z (mm)
7.0817e+005 Tx 522 1.0031e+001 7.6721e+001 3.6248e+000
1.3537e+007 Tx 379 -4.4170e+000 4.9146e+001 2.8828e+000
1.4496e+007 Tz 379 -4.4170e+000 4.9146e+001 2.8828e+000
3.7463e+007 Tz 239 7.6711e+000 2.5459e+002 3.7413e+000
3.9112e+007 Tx 239 7.6711e+000 2.5459e+002 3.7413e+000
7.1969e+007 Tz 520 2.2228e+000 1.8364e+002 -2.2606e+000
1.1446e+008 Tz 521 9.2267e+000 6.5701e+001 -3.1445e+000
1.2943e+008 Ty 522 1.0031e+001 7.6721e+001 3.6248e+000
1.7060e+008 Tz 372 -5.2622e+000 3.9000e+001 -3.6108e-001


Translational pivot distribution

Value Percentage
10.E5 --> 10.E6 1.3468e-001
10.E6 --> 10.E7 0.0000e+000
10.E7 --> 10.E8 3.3670e-001
10.E8 --> 10.E9 1.4141e+001
10.E9 --> 10.E10 8.5253e+001
10.E10 --> 10.E11 1.3468e-001

DIRECT METHOD Computation

Name: Static Case Solution.1

Restraint: Restraints.1


Load: Loads.1

Strain Energy : 1.628e+002 J

Equilibrium

Components Applied
Forces
Reactions Residual Relative
Magnitude Error
Fx (N) 0.0000e+000 2.4793e-009 2.4793e-009 3.0460e-014
Fy (N) 0.0000e+000 1.6153e-008 1.6153e-008 1.9845e-013
Fz (N) 0.0000e+000 -1.9363e-009 -1.9363e-009 2.3789e-014
Mx (Nxm) 0.0000e+000 -7.3582e-010 -7.3582e-010 3.0134e-014
My (Nxm) 0.0000e+000 -8.0504e-012 -8.0504e-012 3.2968e-016
Mz (Nxm) 0.0000e+000 -1.2609e-010 -1.2609e-010 5.1638e-015

GEOSTIFFNESS Computation

Name: GeoStiffnessStaticSet.1

Number of lines : 1566    
Number of coefficients : 9048    
Number of blocks : 1    
Maximum number of coefficients per bloc : 9048    
Total matrix size : 0 . 11  Mb


BUCKLING Computation

Buckling: Buckling Case Solution.2

Static: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1


Number of computed modes : 10    
Number of iterations already performed : 0    
Total Number of iterations performed : 5    
Relative eigenvalues tolerance required : 1 . 000e-003  
Relative eigenvalues tolerance obtained : 7 . 487e-004  


Mode
number
Buckling
factor
Stability
1 2.5385e-001 3.5074e-012
2 2.6282e-001 4.0172e-012
3 1.2271e+000 4.3755e-008
4 1.2829e+000 3.1803e-008
5 2.5338e+000 1.4141e-006
6 2.6543e+000 1.0859e-006
7 5.5696e+000 2.7619e-004
8 5.6732e+000 5.1181e-004
9 6.6642e+000 5.0747e-004
10 7.0790e+000 7.4867e-004

Buckling Case Solution.2 - Deformed mesh.2

Occurrence 1

Figure 2

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

Occurrence 2

Figure 3

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

Occurrence 3

Figure 4

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

Occurrence 4

Figure 5

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

Occurrence 5

Figure 6

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

Occurrence 6

Figure 7

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

Occurrence 7

Figure 8

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

Occurrence 8

Figure 9

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

Occurrence 9

Figure 10

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

Occurrence 10

Figure 11

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

Global Sensors


Sensor Name Sensor Value
Buckling Factors 0.2538535
0.262824833
1.227078557
1.282869101
2.533826351
2.654270887
5.569595337
5.673193455
6.6642313
7.079024315