4. B modeling

We place ourselves in a 2D frame. We will impose successively:

• a translation of vector \((2.5;3.9)\),

• a rotation with an angle of 33 degrees and an axis passing through point \((10.;0.5)\),

• a second rotation with an angle \(\mathrm{-}161\) degrees and an axis passing through the point \((\mathrm{-}3;0.5)\),

• scaling by a factor of 5.

We thus test all the scenarios authorized by the syntax of the keywords TRANSLATION, ROTATION and ECHELLE.

Then, we start again from the initial mesh and we impose on it successively:

• a change of vector coordinate system \((1.23;0.23)\),

• scaling by a factor of 5.

In this way, the keywords MODI_BASE and ECHELLE are tested together.

4.1. Characteristics of the mesh

The mesh has a single element of type QUAD4.

4.2. Tested sizes and results

For the first part, with TRANSLATION, ROTATION, and ECHELLE:

Points observed	Coordinates	Reference
\(P1\)	\(X\)	—3.9975219277929E+01
	\(Y\)	4.2222814000070E-01
\(P3\)	\(X\)	—3.1233365350457E+01
	\(Y\)	—1.2752747757918E+01
\(P4\)	\(X\)	—2.8155057973828E+01
	\(Y\)	—8.812693939898842E+00

For the second part, with MODI_BASE and ECHELLE:

Points observed	Coordinates	Reference
\(P1\)	\(X\)	0.0000000000000E+00
	\(Y\)	0.0000000000000E+00
\(P3\)	\(X\)	7.6719027437988E+00
	\(Y\)	1.3825408069554E+01
\(P4\)	\(X\)	2.7570900485527E+00
	\(Y\)	1.4744438085738E+01