3. Modeling A#

3.1. Characteristics of modeling#

In this modeling, we use the operator DYNA_VIBRA (see [U4.53.03]) with the relationship DIS_CHOC. The integration diagram is ADAPT_ORDRE2.

In this modeling, the force exerted on mass \({m}_{2}\) is cancelled out in \({t}_{2}=\mathrm{0,2}s\).

3.2. Characteristics of the mesh#

The mesh contains 2 discrete single-node meshes (one for each mass) and 1 discrete mesh for the spring.

3.3. Tested sizes and results#

Type

Instant ( \(s\) )

Size

Reference

Aster

Difference (%)

Analytics

0.02

\({x}_{1}\)

2.0621E-05

Analytics

0.02

\({x}_{2}\)

0.11221

0.11221

0.11221

0

Analytics

0.15

\({x}_{1}\)

1.35332

1.35329

-0.002

Analytics

0.15

\({x}_{2}\)

1.80751

1.80751

1.80751

0

Analytics

0.34

\(\dot{x}{}_{1}\)

-3.3802E-5

Analytics

0.34

\({x}_{2}\)

3.96813

3.97012

0.05

Type

Size (s)

Reference

Aster

% difference

Analytics

\({t}_{1}\)

0.03512

0.03520

0.23

Analytics

\({t}_{3}\)

0.31492

0.31500

0.03

3.4. notes#

The difference in \(\text{\%}\) is not given for cases where the reference value is 0, but it is observed that the absolute difference is of the order of \({10}^{-5}\).