4. Item Content JEVEUX

4.1. Purpose. PJMNO

In PROJ_MESU_MODAL, this object contains a list of the numbers of the nodes where the sensors are located. A sensor measures the component of the field at a point in a given direction. Multiple sensors can be located at a single node.

PJMNO (1): node number associated with sensor number 1

PJMNO (2): node number associated with sensor number 2

…

The useful length (LONUTI) of this object is equal to the number of sensors (nbcapt).

If the keywords PROJ_MESU and MODE_MESURE are entered in MACR_ELEM_STAT, the sd_proj_mesu produced by MACR_ELEM_STAT contains the list of external node numbers. And the useful length (LONUTI) is equal to the number of external ddls (nddles) of the macro element.

4.2. Purpose. PJMRG

In PROJ_MESU_MODAL, this object contains the name of the sensor’s sensitive component:

“DX”, “DY”, “DZ”, “DZ”, “D1”, “D2”, “D3”,…

“D1”, “D2”, “D3” are the directions defined when reading the data measured by LIRE_RESU on the 58 datasets (U7.02.01).

In MACR_ELEM_STAT, it contains the name of the external ddl component.

The length of this object is the same as the length of. PJMNO.

PJMRG (1): name of the component associated with sensor 1

(or name of the external ddl component 1)

PJMRG (2): name of the component associated with sensor 2

(or name of the external ddl 2 component)

…

4.3. Purpose. PJMBP

This object contains the reduction of the projection base to the ddls specified by the couple. PJMNOet. PJMRG.

If PROJ_MESU_MODAL:

LONUTI = nbcapt*nbmode

The reduced base is obtained by the product: \({L}_{\mathit{capt}}{\phi }_{\mathit{proj}}\)

If MACR_ELEM_STAT:

LONUTI = nddle*nbmode

The reduced base is obtained by the product: \({L}_{\mathit{ext}}{\phi }_{\mathit{proj}}\)

With:

\({L}_{\mathit{capt}}\): refers to the location matrix of the ddls sensors

\({L}_{\mathit{ext}}\): refers to the location matrix for external ddls

\({\phi }_{\mathit{proj}}\): designates the projection base (nddl, nbmode)

nddl: number of ddls in the « support » model

nbmode: number of base vectors of the projection base

PJMBP (1): projection of the first vector from the base onto the PJMRG (1) component

from node PJMNO (1)

PJMBP (2): projection of the first vector from the base onto the PJMRG (2) component

from node PJMNO (2)

…

PJMBP (LONUTI): projection of the first vector of the base onto the component PJMRG (LONUTI)

from node PJMNO (LONUTI)

PJMBP (LONUTI +1): projection of the 2nd vector of the base onto the component PJMRG (1)

from node PJMNO (1)

…

PJMBP (LONUTI *nbmode): projection of the nbmode-th vector of the base onto the

component PJMRG (LONUTI) of node PJMNO (LONUTI)

4.4. Purpose. PJMRF

This object contains the names of the concepts used:

PJMRF (1): name of the « measure » model

PJMRF (2): name of the measured field (“DEPL”, “”, “”, “VITE”, “ACCE”, “SIEF_ “, “EPSI_”)

PJMRF (3): name of the projection base

PJMRF (4): name of the concept that contains the identified eigenmodes

(keyword argument MODE_MESURE from MACR_ELEM_STAT)

PJMRF (5): name of the concept created by PROJ_MESU_MODAL, used for calculating the supermesh (keyword argument PROJ_MESU of MACR_ELEM_STAT).

Note:

PJMRF (4) and PJMRF (5) are not filled in if calculation PROJ_MESU_MODAL .

4.5. Purpose. PJMOR

This object is only created when calculating with PROJ_MESU_MODAL.

It indicates the sensitive direction of the sensor.

The length of this object is equal to three times the length of. PJMNO.

PJMOR (1): projection along DX of the sensitive direction of sensor number 1

PJMOR (2): projection along DY of the sensitive direction of sensor number 1

PJMOR (3): projection along DZ of the sensitive direction of sensor number 1

PJMOR (4): projection along DX of the sensitive direction of sensor number 2

PJMOR (5): projection along DY of the sensitive direction of sensor number 2

PJMOR (6): projection along DZ of the sensitive direction of sensor number 2

…

4.6. Purpose. PJMMM

This item was created only by MACR_ELEM_STAT. It contains the identified specific nbmoidmodes arranged according to the pair. PJMNOet. PJMRGde the sd_proj_me given by PJMRF (5).

The length of the vector is nbcapt*nbmoid

PJMMM (1) component of the first mode identified along the sensitive direction of sensor 1

PJMMM (2) component of the first mode identified along the sensitive direction of the sensor 2

…

PJMMM (nbcapt) component of the first mode identified along the sensitive direction of the nbcapt sensor

PJMMM (nbcapt+1) component of the 2nd mode identified along the sensitive direction of sensor 1

…

PJMMM (nbcapt*nbmoid) component of the nbmoid-th mode identified along the sensitive direction of the nbcapt sensor

4.7. Purpose. PJMIG

This item was created only by MACR_ELEM_STAT.

The length of the vector is nbmoid*nddle

It contains the generalized inverse of matrix A, defined by the following relationship:

\(A\mathrm{=}{L}_{\mathit{ext}}{\phi }_{\mathit{proj}}{\mathrm{[}{\phi }_{\mathit{proj}}^{T}{L}_{\mathit{capt}}^{T}{L}_{\mathit{capt}}{\phi }_{\mathit{proj}}\mathrm{]}}^{\mathrm{-}1}{\phi }_{\mathit{proj}}^{T}{L}_{\mathit{capt}}^{T}{\phi }_{\mathit{id}}\)

Where:

\({L}_{\mathit{ext}}\): refers to the location matrix for external ddls

\({\phi }_{\mathit{proj}}\): designates the projection base (nddl, nbmode)

\({L}_{\mathit{capt}}\): refers to the location matrix of the ddls sensors

\({\phi }_{\mathit{id}}\): refers to the matrix of identified eigenmodes (nbcapt, nbmoid)

This matrix A can be interpreted as being the condensation to the external ddls of the identified eigenmodes.