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This document summarizes the results of a finite element analysis simulation. The model contains 8,985 nodes and 36,350 elements. The majority of elements are linear tetrahedrons. Translational and rotational pivots were calculated and their distributions were analyzed. The simulation was run using direct methods and resulted in a strain energy of 1.120e-002 J. Equilibrium was achieved with residual errors less than 1%. Deformed mesh and von Mises stress plots are presented.

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0% found this document useful (0 votes)
89 views7 pages

Feareport

This document summarizes the results of a finite element analysis simulation. The model contains 8,985 nodes and 36,350 elements. The majority of elements are linear tetrahedrons. Translational and rotational pivots were calculated and their distributions were analyzed. The simulation was run using direct methods and resulted in a strain energy of 1.120e-002 J. Equilibrium was achieved with residual errors less than 1%. Deformed mesh and von Mises stress plots are presented.

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Final Design Project

MESH:

Entity Size

Nodes 8985

Elements 36350

ELEMENT TYPE:

Connectivity Statistics

TE4 36344 ( 99.98% )

SPIDER 4 ( 0.01% )

NSBAR 2 ( 0.01% )

ELEMENT QUALITY:

Criterion Good Poor Bad Worst Average

Stretch 36342 ( 99.99% ) 2 ( 0.01% ) 0 ( 0.00% ) 0.293 0.622

Aspect Ratio 32307 ( 88.89% ) 4031 ( 11.09% ) 6 ( 0.02% ) 5.935 1.970

Materials.1

Material Oak

Young's modulus 1.914e+006psi

Poisson's ratio 0

Density 753kg_m3

Coefficient of thermal expansion 0_Kdeg

Yield strength 0psi


Static Case

Boundary Conditions

Figure 1

STRUCTURE Computation

Number of nodes : 8985


Number of elements : 36350
Number of D.O.F. : 26967
Number of Contact relations : 0
Number of Kinematic relations : 513
Number of coefficients : 1694

Linear tetrahedron : 36344


Translation rigid spider : 4
Rigid spider : 2

RESTRAINT Computation
Name: Restraints.1

Number of S.P.C : 87

LOAD Computation

Name: Loads.1

Applied load resultant :

Fx = 1 . 797e-010 lbf
Fy = 2 . 580e-011 lbf
Fz = -3 . 000e+002 lbf
Mx = 1 . 150e-001 lbfxin
My = 7 . 264e+002 lbfxin
Mz = -4 . 915e-010 lbfxin

STIFFNESS Computation

Number of lines : 26967


Number of coefficients : 506769
Number of blocks : 2
Maximum number of coefficients per bloc : 499983
Total matrix size : 5 . 90 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 : 600


Number of coefficients : 0
Number of factorized constraints : 598
Number of coefficients : 169
Number of deferred constraints : 0
FACTORIZED Computation

Method : SPARSE
Number of factorized degrees : 26369
Number of supernodes : 1912
Number of overhead indices : 126955
Number of coefficients : 3433837
Maximum front width : 828
Maximum front size : 343206
Size of the factorized matrix (Mb) : 26 . 1981
Number of blocks : 2
Number of Mflops for factorization : 1 . 008e+003
Number of Mflops for solve : 1 . 387e+001
Minimum relative pivot : 6 . 318e-004

Minimum and maximum pivot

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

3.9933e+004 Tz 5559 3.9874e+000 -1.7275e+000 -9.2756e+000

6.2469e+008 Tz 6875 3.9593e+000 -1.6771e+000 -9.4136e+000

3.7792e+006 Rx 8982 2.1457e-001 1.4178e+000 -5.9021e+000

1.7279e+007 Rx 8985 2.1003e-001 -1.4178e+000 -5.6881e+000

Minimum pivot

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

8.1383e+004 Ty 5559 3.9874e+000 -1.7275e+000 -9.2756e+000

1.0756e+005 Ty 7779 4.0039e+000 -1.7517e+000 -9.4149e+000

2.5348e+005 Tz 3112 4.4359e+000 -1.5092e+000 -7.3358e+000

2.5866e+005 Ty 3112 4.4359e+000 -1.5092e+000 -7.3358e+000

2.6882e+005 Ty 2917 2.1868e+000 1.4187e+000 -9.5191e+000

2.9044e+005 Tx 3112 4.4359e+000 -1.5092e+000 -7.3358e+000

2.9495e+005 Tz 3030 2.6226e+000 -1.7413e+000 -9.6312e+000

2.9572e+005 Tx 2917 2.1868e+000 1.4187e+000 -9.5191e+000

2.9601e+005 Tz 2916 2.3736e+000 1.6209e+000 -9.4743e+000

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


1.7279e+007 Rx 8985 2.1003e- -1.4178e+000 -5.6881e+000
001

Translational pivot distribution

Value Percentage

10.E4 --> 10.E5 7.5852e-003

10.E5 --> 10.E6 2.6131e+000

10.E6 --> 10.E7 4.2337e+001

10.E7 --> 10.E8 4.0001e+001

10.E8 --> 10.E9 1.5042e+001

Rotational pivot distribution

Value Percentage

10.E6 --> 10.E7 5.0000e+001

10.E7 --> 10.E8 5.0000e+001

DIRECT METHOD Computation


Name: Static Case Solution.1

Restraint: Restraints.1

Load: Loads.1

Strain Energy : 1.120e-002 J

Equilibrium

Relative
Applied
Components Reactions Residual Magnitude
Forces
Error

-1.9949e- 5.0837e-
Fx (lbf) 1.7967e-010 -1.8167e-010
012 015

Fy (lbf) 2.5804e-011 -2.3460e-011


2.3440e- 5.9733e-
012 015

-7.3328e- 1.8686e-
Fz (lbf) -3.0000e+002 3.0000e+002
012 014

3.1603e- 2.8559e-
Mx (lbfxin) 1.1496e-001 -1.1496e-001
011 013

5.0704e- 4.5820e-
My (lbfxin) 7.2638e+002 -7.2638e+002
011 013

8.9284e- 8.0683e-
Mz (lbfxin) -4.9153e-010 5.0046e-010
012 014

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

1D elements: : Components: : All

3D elements: : Components: : All

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

Global Sensors

Sensor Name Sensor Value

Energy 0.011J

Global Error Rate (%) 48.6900177

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