3. Modeling A#

3.1. Characteristics of modeling A#

_images/1000000000000646000002DF4174779AD0A26DEE.png

Figure 3.1 Meshing the geometry of the problem.

The beam is divided into two equal parts. Each half is represented by a substructure. These are generated using the Mac-Neal method.

3.2. Characteristics of the mesh#

Number of knots: 557

Number of meshes and types: 80 HEXA20, 20 QUAD8

3.3. Tested sizes and results#

Location

Quantity Type

Reference Value

Reference Type

Tolerance (%)

\(X=\frac{L}{4}\) (first half)

\(\mathit{DY}\)

\(1.95994\times {10}^{-5}+8.49179\times {10}^{-6}j\)

“ANALYTIQUE”

\(5.0\)

\(X=\frac{L}{2}\) (first half)

\(\mathit{DY}\)

\(-6.999387\times {10}^{-6}-1.14501\times {10}^{-5}j\)

“ANALYTIQUE”

\(5.0\)

\(X=\frac{L}{2}\) (second half)

\(\mathit{DY}\)

\(-6.999387\times {10}^{-6}-1.14501\times {10}^{-5}j\)

“ANALYTIQUE”

\(5.0\)

\(X=3\frac{L}{4}\) (second half)

\(\mathit{DY}\)

\(1.95994\times {10}^{-5}+8.49179\times {10}^{-6}j\)

“ANALYTIQUE”

\(5.0\)