7. G modeling#

7.1. Characteristics of modeling#

Shell element DSQ (quarter plate modeling)

7.1.1. Boundary conditions#

in all the nodes of the arc \(\mathrm{ABC}\)

:

DX: 0. , BY: 0. , Z: 0.

in all the nodes in segment \(\left]\mathrm{OA}\right[\)

:

DY: 0. , DRX :0. , DRZ :0.

in all the nodes in segment \(\left]\mathrm{OC}\right[\)

:

DX: 0. , DRY :0. , DRZ :0.

to node \(O\)

:

DX: 0. , BY: 0. , DRX :0. , DRY :0. , DRZ :0.

Point \(O\)

stitches: \(\mathrm{M1}\)

Point \(A\)

stitches: \(\mathrm{M147}\)

Point \(B\)

stitches: \(\mathrm{M98}\mathrm{M111}\)

Point \(C\)

stitches: \(\mathrm{M14}\)

Point \(D\)

stitches: \(\mathrm{M85}\mathrm{M99}\)

Point \(E\)

stitches: \(\mathrm{M7}\mathrm{M8}\)

Point \(F\)

stitches: \(\mathrm{M91}\mathrm{M92}\mathrm{M105}\)

7.2. Characteristics of the mesh#

Number of knots: 169

Number of meshes and types: 147 QUAD4

7.3. Tested sizes and results#

Identification

Reference type

Reference values

Reissner

Tolerance

O

_images/Object_45.svg

“ANALYTIQUE”

—703.40

0.15%

D

_images/Object_46.svg

“ANALYTIQUE”

—495.56

0.15%

E

_images/Object_47.svg

“ANALYTIQUE”

—495.56

0.15%

F

_images/Object_48.svg

“ANALYTIQUE”

—441.18

0.2%

Identification

Reference type

Reference values

Tolerance

O

_images/Object_63.svg

“ANALYTIQUE”

—0.20625

1%

_images/Object_64.svg

“ANALYTIQUE”

—0.20625

1%

A

_images/Object_179.svg

“ANALYTIQUE”

0.01

_images/Object_180.svg

“ANALYTIQUE”

—0.0875

2.5%

B

_images/Object_182.svg

“ANALYTIQUE”

-0.04375

7.5%

_images/Object_183.svg

“ANALYTIQUE”

-0.04375

7.5%

C

_images/Object_231.svg

“ANALYTIQUE”

—0.0875

2.5%

_images/Object_232.svg

“ANALYTIQUE”

0.01

D

_images/Object_65.svg

“ANALYTIQUE”

—0.15469

0.6%

_images/Object_103.svg

“ANALYTIQUE”

—0.17656

0.6%

E

_images/Object_112.svg

“ANALYTIQUE”

—0.15469

0.7%

_images/Object_113.svg

“ANALYTIQUE”

—0.17656

0.7%

F

_images/Object_114.svg

“ANALYTIQUE”

—0.14025

19%

_images/Object_115.svg

“ANALYTIQUE”

—0.16825

19%

Identification

Reference type

Reference values

Tolerance

Size

Point

Mesh

ENEL_ELNO

\(\mathit{TOTALE}\)

C

M14

“NON_REGRESSION”

45.79374

0.1%

\(\mathit{MEMBRANE}\)

“NON_REGRESSION”

0.0

0.1%

\(\mathit{FLEXION}\)

“NON_REGRESSION”

44.78267

0.1%

\(\mathit{CISAILLE}\)

“NON_REGRESSION”

1.01107

0.1%

\(\mathit{COUPL}\text{\_}\mathit{MF}\)

“NON_REGRESSION”

0.0

0.1%

Identification

Reference type

Reference values

Tolerance

Size

Point

Mesh

ENEL_ELGA

\(\mathit{TOTALE}\)

1

M14

“NON_REGRESSION”

57.36959

0.1%

\(\mathit{MEMBRANE}\)

“NON_REGRESSION”

0.0

0.1%

\(\mathit{FLEXION}\)

“NON_REGRESSION”

56.47085

0.1%

\(\mathit{CISAILLE}\)

“NON_REGRESSION”

0.89874

0.1%

\(\mathit{COUPL}\text{\_}\mathit{MF}\)

“NON_REGRESSION”

0.0

0.1%

Identification

Reference type

Reference values

Tolerance

Size

Mesh

ENEL_ELEM

\(\mathit{TOTALE}\)

M14

“NON_REGRESSION”

0.42940

0.1%

\(\mathit{MEMBRANE}\)

“NON_REGRESSION”

0.0

0.1%

\(\mathit{FLEXION}\)

“NON_REGRESSION”

0.42229

0.1%

\(\mathit{CISAILLE}\)

“NON_REGRESSION”

7.11225E-03

0.1%

\(\mathit{COUPL}\text{\_}\mathit{MF}\)

“NON_REGRESSION”

0.0

0.1%