3. Modeling A

3.1. Characteristics of modeling

We use a BARRE model.

3.2. Characteristics of the mesh

The mesh contains 1 element of type SEG2.

3.3. Tested sizes and results

3.3.1. Support reactions and internal forces at the two nodes of the mesh.

Full gravity matrix according to \(X\) :

Size	Location	Component	Component	Reference Value (N)	Tolerance (%)
REAC_NODA	Node N001	\(\mathrm{DX}\)		“ANALYTIQUE”	-100	1.0E-4
REAC_NODA	Node N002	\(\mathrm{DX}\)		“ANALYTIQUE”	0	1.0E-4
FORC_NODA	Node N001	\(\mathrm{DX}\)		“ANALYTIQUE”	-50	1.0E-4
FORC_NODA	Node N002	\(\mathrm{DX}\)		“ANALYTIQUE”	-50	1.0E-4

Full gravity matrix according to \(Y\) :

Size	Location	Component	Component	Reference Value (N)	Tolerance (%)
REAC_NODA	Node N001	\(\mathit{DY}\)		“ANALYTIQUE”	-50	1.0E-4
REAC_NODA	Node N002	\(\mathit{DY}\)		“ANALYTIQUE”	-50	1.0E-4
FORC_NODA	Node N001	\(\mathit{DY}\)		“ANALYTIQUE”	0	1.0E-4
FORC_NODA	Node N002	\(\mathit{DY}\)		“ANALYTIQUE”	0	1.0E-4

Full gravity matrix according to \(Z\) :

Size	Location	Component	Component	Reference Value (N)	Tolerance (%)
REAC_NODA	Node N001	\(\mathit{DZ}\)		“ANALYTIQUE”	-50	1.0E-4
REAC_NODA	Node N002	\(\mathit{DZ}\)		“ANALYTIQUE”	-50	1.0E-4
FORC_NODA	Node N001	\(\mathit{DZ}\)		“ANALYTIQUE”	0	1.0E-4
FORC_NODA	Node N002	\(\mathit{DZ}\)		“ANALYTIQUE”	0	1.0E-4

Diagonal gravity matrix by \(X\) :

Size	Location	Component	Component	Reference Value (N)	Tolerance (%)
REAC_NODA	Node N001	\(\mathrm{DX}\)		“ANALYTIQUE”	-100	1.0E-4
REAC_NODA	Node N002	\(\mathrm{DX}\)		“ANALYTIQUE”	0	1.0E-4
FORC_NODA	Node N001	\(\mathrm{DX}\)		“ANALYTIQUE”	-50	1.0E-4
FORC_NODA	Node N002	\(\mathrm{DX}\)		“ANALYTIQUE”	-50	1.0E-4

Diagonal gravity matrix by \(Y\) :

Size	Location	Component	Component	Reference Value (N)	Tolerance (%)
REAC_NODA	Node N001	\(\mathit{DY}\)		“ANALYTIQUE”	-50	1.0E-4
REAC_NODA	Node N002	\(\mathit{DY}\)		“ANALYTIQUE”	-50	1.0E-4
FORC_NODA	Node N001	\(\mathit{DY}\)		“ANALYTIQUE”	0	1.0E-4
FORC_NODA	Node N002	\(\mathit{DY}\)		“ANALYTIQUE”	0	1.0E-4

Diagonal gravity matrix by \(Z\) :

Size	Location	Component	Component	Reference Value (N)	Tolerance (%)
REAC_NODA	Node N001	\(\mathit{DZ}\)		“ANALYTIQUE”	-50	1.0E-4
REAC_NODA	Node N002	\(\mathit{DZ}\)		“ANALYTIQUE”	-50	1.0E-4
FORC_NODA	Node N001	\(\mathit{DZ}\)		“ANALYTIQUE”	0	1.0E-4
FORC_NODA	Node N002	\(\mathit{DZ}\)		“ANALYTIQUE”	0	1.0E-4

3.3.2. Projection of the mass matrix on a modal basis

Full matrix

TABLE	Reference type	Reference value (kg)	Tolerance (%)
TABX	“ANALYTIQUE”	100.0	1.0E-4
TABY	“ANALYTIQUE”	100.0	1.0E-4
TABZ	“ANALYTIQUE”	100.0	1.0E-4

Diagonal matrix

TABLE	Reference type	Reference value (kg)	Tolerance (%)
TABX	“ANALYTIQUE”	100.0	1.0E-4
TABY	“ANALYTIQUE”	100.0	1.0E-4
TABZ	“ANALYTIQUE”	100.0	1.0E-4

3.3.3. Kinetic energy

Full matrix

TABLE	NOM_PARA	Reference type	Reference value (J)	Tolerance (%)
TABX	TOTALE	“ANALYTIQUE”	“”	50.0	1.0E-4
TABY	TOTALE	“ANALYTIQUE”	“”	50.0	1.0E-4
TABZ	TOTALE	“ANALYTIQUE”	“”	50.0	1.0E-4