3. Modeling A#

3.1. Characteristics of modeling#

POU_D_T

_images/100002C200000DBF000009D2698EAD93350BCD41.svg

Cutting:

\(\mathrm{N01}\)

\(\mathrm{N02}\)

1 stitch SEG2

Boundary conditions: DDL_IMPO at node \(\mathrm{N01}\):

No time:

\({10}^{-5}\mathrm{s.}\)

Integration NEWMARK

\(\alpha =0.25\), \(\delta =0.5\)

Integration WILSON

\(\theta =1.4\)

3.2. Characteristics of the mesh#

Number of knots: 2

Number of meshes and types: 1 mesh SEG2

3.3. Tested sizes and results#

Without amortization:

Instant in sec.

Reference

Aster NEWMARK

% difference

Aster WILSON

% difference

2.E—3

2.4638E—04

2.4519E—04

2.4519E—04

2.4424E—04

0.86

4.E—3

8.9141E—04

8.8948E—04

1.93

8.8794E—04

0.38

6.E—3

1.6887E—03

1.6868E—03

1.6868E—03

1.6852E—03

0.20

8.E—3

2.3337E—03

2.3325E—03

2.3325E—03

2.3316E—03

0.09

1.E—2

2.5801E—03

2.5801E—03

0.03

2.5801E—03

0

1.2E—2

2.3337E—03

2.3349E—03

2.3349E—03

2.3359E—03

0.09

1.4E—2

1.6887E—3

1.6906E—03

1.6906E—03

1.6922E—03

0.21

1.6E—2

8.9141E—04

8.9334E—04

0.21

8.9489E—04

0.4

1.8E—2

2.4638E—04

2.4758E—04

0.48

2.4854E—04

0.87

2.E—2

0.0000

3.1989E—09

9.3188E—09

With amortization:

Instant in sec.

Reference

Aster NEWMARK

% difference

Aster WILSON

% difference

2.E—3

2.3775E—04

2.3662E0—4

2.3662E0—4

2.3572E—04

0.85

4.E—3

8.3189E—04

8.3015E—04

0.21

8.2877E—04

0.37

6.E—3

1.5307E—03

1.5290E—03

1.5290E—03

0.11

1.5277E—03

0.2

8.E—3

2.0704E—03

2.0694E—03

2.0694E—03

2.0686E—03

0.09

1.E—2

2.2721E—03

2.2721E—03

2.2721E—03

2.2720E—03

0.004

1.2E—2

2.0976E—03

2.0984E—03

2.0984E—03

2.0991E—03

0.07

1.4E—2

1.6488E—03

1.6501E—03

1.6501E—03

1.6511E—03

0.14

1.6E—2

1.1164E—03

1.1176E—03

1.1176E—03

1.1186E—03

0.2

1.8E—2

7.0165E—04

7.0241E—04

0.11

7.0302E—04

0.19

2.E—2

5.4263E—04

5.4266E—04

0.005

5.4269E—04

0.01

3.4. notes#

After the first two steps of time, the damped solution is obtained with an error of less than \(\text{0.2\%}\).