3. Modeling A#

3.1. Characteristics of modeling#

The template is composed of 800 POU_D_T elements.

3.2. Characteristics of the mesh#

It consists of 800 SEG2.

3.3. Tested sizes and results#

3.3.1. Inner effort at \(\mathrm{\theta }=0°\)#

Reference Type

Reference

Tolerance

\(N\)

ANALYTIQUE

5.000E—01

1.00E-003 \(\text{\%}\)

\(\mathit{Vy}\)

ANALYTIQUE

0.0000

2.00E-003*

\(\mathit{MFz}\)

ANALYTIQUE

3.6338E—01

1.00E-003 \(\text{\%}\)

  • Absolute deviation

3.3.2. Inner effort at \(\mathrm{\theta }=90°\)#

Reference Type

Reference

Tolerance

\(N\)

ANALYTIQUE

0.0000

2.00E-003*

\(\mathit{Vy}\)

ANALYTIQUE

—5.0000E—01

1.00E-003 \(\text{\%}\)

\(\mathit{MFz}\)

ANALYTIQUE

—6.3662E—01

1.00E-003 \(\text{\%}\)

*Absolute difference

3.3.3. Forced to \(\theta \mathrm{=}0°\)#

Reference Type

Reference

Tolerance

\(\mathit{SIXXMAX}\)

ANALYTIQUE

4.6426E+05

1.00E-003 \(\text{\%}\)

3.3.4. Forced to \(\theta \mathrm{=}90°\)#

Reference Type

Reference

Tolerance

\(\mathit{SIXXMIN}\)

ANALYTIQUE

—8.1056E+05

1,00E-003 \(\text{\%}\)

3.4. notes#

The symmetry with respect to the \((A,C)\) axis implies the nullity of the cutting force \(T\) in \(A\) and in \(C\). The following balance \(\mathit{Oy}\) of the \((A,B,C)\) half-ring requires in \(A\) and in \(C\) a normal force equal to \(\frac{F}{2}\). The symmetry with respect to the \((B,D)\) axis implies that the moments in \(A\) and \(C\) are equal in absolute value and in opposite directions.