16. N modeling#
16.1. Characteristics of modeling#
Anticlastic flexure
Modeling: DKTG. \(L=1.0m\).
Figure 16.1-a: mesh
Boundary conditions (see figure below):
DX=0
DZ= XYD0
Figure 16.1-b : Boundary Conditions
we impose an embedding in \({A}_{1}\), and we block the point \(B\) in its movement according to \(\mathrm{Ox}\).
\({u}_{z}={D}_{0}\cdot y\cdot x\) on all four edges \({A}_{1}-{A}_{3}\), \({A}_{1}-{A}_{2}\),, \({A}_{2}-{A}_{4}\), and \({A}_{3}-{A}_{4}\)
where \({D}_{0}=3.0{10}^{-2}\cdot f(t)\), and \(f(t)\) represent the magnitude of cyclic loading as a function of the (pseudo-time) parameter \(t\), defined as:
The deformation of such an anticlastic flexure test is of the horse saddle type as presented below:
16.2. Characteristics of the mesh#
Number of knots: 121.
Number of stitches: 200 TRIA3; 40 SEG2.
16.3. Tested sizes and results#
The results obtained by modeling DHRC are evaluated by non-regression tests at various times:
Identification |
Reference type |
Reference values |
tolerance |
|
To \(t=\mathrm{0,05}\) |
||||
Moment \(\mathit{MXY}\) en \(B\) |
|
4282.65341065 |
1 10-6 |
|
To \(t=\mathrm{0,5}\) |
||||
Moment \(\mathit{MXY}\) en \(B\) |
|
30025.5726844 |
1 10-6 |
|
To \(t=\mathrm{1,5}\) |
||||
Moment \(\mathit{MXY}\) en \(B\) |
|
27953.608413 |
1 10-6 |
|
To \(t=\mathrm{3,0}\) |
||||
Moment \(\mathit{MXY}\) en \(B\) |
|
-55907.216826 |
1 10-6 |
|
To \(t=\mathrm{3,5}\) |
||||
Moment \(\mathit{MXY}\) en \(B\) |
|
-27953.608413 |
1 10-6 |