20. J modeling results#

20.1. Tested values#

Identification

Reference

Type

Tolerance

Loading 1

Normal contact force

1.200E+04 N

ANALYTIQUE

RELATIF — 1.00%

Tangential contact force

0 N

ANALYTIQUE

ABSOLU — 5.00%

DX (point A)

1.5E-3mm

ANALYTIQUE

RELATIF — 1.00%

DY (point A)

—2.598E-3 mm

ANALYTIQUE

RELATIF — 1.00%

DX (point B)

1.5E-3 mm

ANALYTIQUE

RELATIF — 1.00%

DY (point B)

—2.598E-3 mm

ANALYTIQUE

RELATIF — 1.00%

Loading 2

Normal contact force

1.200E+04 N

ANALYTIQUE

RELATIF — 1.00%

Tangential contact force

—3.564E+03N

ANALYTIQUE

RELATIF — 1.00%

DX (point A)

0.0234 mm

NON_REGRESSION

RELATIF — 1.00%

DY (point A)

0.0122 mm

NON_REGRESSION

RELATIF — 1.00%

DX (point B)

4.032E-03 mm

NON_REGRESSION

RELATIF — 1.00%

DY (point B)

-4.747 mm

NON_REGRESSION

RELATIF — 1.00%

Loading 3

Normal contact force

1.200E+04 N

ANALYTIQUE

RELATIF — 1.00%

Tangential contact force

—3,624E+03N

ANALYTIQUE

RELATIF — 1.00%

DX (point A)

2.598 mm

ANALYTIQUE

RELATIF — 1.00%

DY (point A)

1.5 mm

ANALYTIQUE

RELATIF — 1.00%

DX (point B)

2.598mm

ANALYTIQUE

RELATIF — 1.00%

DY (point B)

1.5 mm

ANALYTIQUE

RELATIF — 1.00%

The analytical values for load 1 are obtained by using the fact that the joint is elastic thanks to the penalization parameter. It is this value that is projected into the global frame of reference.

\({D}_{\mathrm{norm}}={P}_{\mathrm{norm}}/{K}_{n}=300/{10}^{5}=3\cdot {10}^{-3}\); \(\mathrm{DX}={D}_{\mathrm{norm}}\mathrm{cos}(\pi /6);\mathrm{DY}={D}_{\mathrm{norm}}\mathrm{sin}(\pi /6)\)