8. F modeling#

8.1. Characteristics of modeling#

This modeling is based on linear meshing. The 9 surface meshes (QUAD4) of each plate are affected by the MEMBRANEet model duplicated to form the groups DKT_X, DKT_Y and DKT_Z that are assigned from the DKT modeling.

In each case the membranes are oriented in the direction of the length of the plate.

8.2. Calculations and loads#

Two calculations are carried out on each plate of the mesh. Calculation loads are detailed on groups COQ_X/DKT_X. Then simply replace \(X\) by \(Y\) and then \(Z\) to get the loads of the other calculations.

8.2.1. Reference calculation, pre-deformation defined by value#

In the reference calculation, the following pre-deformation values are assigned:

	G1X	G2X	G3X
EXX	1E-3	2E-3	3E-3
EYY	2E-3	4E-3	6E-3
EXY	3E-3	6E-3	9E-3

The dependence on time is taken into account by adding an « identity » multiplier function to the load.

8.2.2. Second calculation, pre-deformation defined by function#

The following pre-deformation load is affected on all the cells in group COQ_X:

EXX	\(\mathrm{1E-3.}\mathit{escalier}(X)\mathrm{.}\mathit{INST}\)
EYY	\(\mathrm{2E-3.}\mathit{escalier}(X)\mathrm{.}\mathit{INST}\)
EXY	\(\mathrm{3E-3.}\mathit{escalier}(X)\mathrm{.}\mathit{INST}\)

8.3. Tested sizes and results#

Calculation on COQ_X/DKT_X :

Reference calculation:

Identification	T reference type	Reference values	Tolerance
Instant 1, FLX, DX	“NON_REGRESSION”
Instant 1, FLX, DY	“NON_REGRESSION”
Instant 2, FLX, DX	“NON_REGRESSION”
Instant 2, FLX, DY	“NON_REGRESSION”

Second calculation:

Identification	T reference type	Reference values	Tolerance
Instant 1, FLX, DX	“AUTRE_ASTER”	0.00426667367479	1E-6
Instant 1, FLX, DY	“AUTRE_ASTER”	0.000347860558941	1E-6
Instant 2, FLX, DX	“AUTRE_ASTER”	0.00853334734958	1E-6
Instant 2, FLX, DY	“AUTRE_ASTER”	0.000695721117883	1E-6

Calculation on COQ_Y/DKT_Y :

Reference calculation:

Identification	T reference type	Reference values	Tolerance
Instant 1, FLY, DX	“NON_REGRESSION”
Instant 1, FLY, DY	“NON_REGRESSION”

Second calculation:

Identification	T reference type	Reference values	Tolerance
Instant 1, FLY, DX	“AUTRE_ASTER”	0.000341832038815	1E-6
Instant 1, FLY, DY	“AUTRE_ASTER”	0.00426668139186	1E-6

Calculation on COQ_Z/DKT_Z :

Reference calculation:

Identification	T reference type	Reference values	Tolerance
Instant 1, FLZ, DY	“NON_REGRESSION”
Instant 1, FLZ, DZ	“NON_REGRESSION”

Second calculation:

Identification	T reference type	Reference values	Tolerance
Instant 1, FLZ, DY	“AUTRE_ASTER”	0.000347860558942	1E-6
Instant 1, FLZ, DZ	“AUTRE_ASTER”	0.00426667367479	1E-6