Date: Thu, 28 Mar 2024 17:36:35 -0500 (CDT)
Message-ID: <404736381.3919.1711665395684@cornell1-cos-conf1.managed.contegix.com>
Subject: Exported From Confluence
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G=
enerate Finite-Element Model
In the introductory tutorial, we generated the mesh using the Mapping Me=
sh Tool. Here we'll use the CSG Mesh Tool to create the geometry and mesh i=
t. The latter is more convenient to use especially for complex geometries w=
hile the former gives you more control over the mesh.
S=
trategy for Geometry Creation
We need to apply point boundary conditions at four points A, B, C and D shown in the figure below. In redAn=
TS, point boundary conditions are applied to nodes. When we mesh the r=
ectangle using the CSG Mesh Tool, nodes will automatically be created at A and B since these are corner points; the corresponding di=
splacement BC's can be applied to these corner nodes. However, there is no =
guarantee that there will be nodes exactly at C and D sin=
ce these are not corners. In this case, redAnTS will apply the for=
ces at the nodes that are closest to C and D. This is pos=
sibly acceptable if the mesh is sufficiently fine.
An alternative scenario is that we get clever and force C and D to be corner points. This can be done by dividing the geometry into=
three rectangles R1, R2 and R3as shown below. T=
his will force nodes to be created at points C and D. Then, the point force=
s can be applied to these nodes. This is the strategy we'll use in creating=
the mesh.
Create Geometr=
y
Under Mesh, click on Create CSGtool. This brings up the=
CSG Mesh Tool GUI.
Let's modify the drawing palette to help with the geometry creation. Tur=
n on grid: Options > Grid
Enable snap to grid so that points are created exactly at grid points: <=
strong>Options > Snap
Change axes limits: Options > Axes Limits
X-axis range: [-0.05 0.45]
Y-axis range: [-=
0.05 0.1]
Click Apply and then Close.
Increase number of grid lines: Options > Grid Spacing ...
Unselect Auto for both x=
and y linear spacing.
Change X-axis linear spacing=
to 0.025 while retaining the axis limits: -0.05:0.025:0.45
Similarly, change Y-axis linear spa=
cing to 0.01.
Click Apply and then Done.
Enter Draw mode: Draw > Draw Mode
Create rectangle R1: Draw > Rectangle/Square
Click approximately near (0,0) and (0.1,0.05). Don't worry about getting t=
hese points exactly right since we will edit the coordinate values as below=
:
Double-click on R1
Left=
: 0
Bottom: 0
Width: 0.1
Height: 0.05
OK
Create rectangle R2: Note the row of icons below the menu optio=
ns at the top. This is referred to as the toolbar. The icons in the toolbar=
offer shortcuts to options in the menus.
For example, the rectangle icon
offers a shortcut for creating a rectangle and is equivalent to the menu=
option we used for creating R1. Click on the rectangle icon. Clic=
k approximately near (0.1,0) and (0.3,0.05) to create R2. Modify c=
oordinates:
Double-click on R2
Left=
: 0.1
Bottom: 0
=
Width: 0.2
Height: 0.05
OK
Look below the toolbar. You should see Set formula: R1+R2
You can go in and edit this formula. This facility allows you to arbitrari=
ly add or subtract geometric components as necessary to create the final ge=
ometry.
Save: File > Save Geometry As
Filename: beam.m
This file can be read back into CSG Mesh Tool using File > Open=
Create rectangle R3 by copying R1:
Select R1 by clicking once on it.
Copy R1: Edit > Copy
Paste R1: Edit > Paste ...
X-axis displacement: 0.3
OK=
strong>
You should see that R3 has been added to Set formula.
Check Boundar=
ies
Click on the boundary icon:
This shows the boundaries of the geometry. The external boundaries are s=
hown in red and internal boundaries in black. In the next step, we'll speci=
fy boundary conditions for the external boundaries.
Mesh Geometry
To initialize the mesh, click on the triangle icon:
To refine the mesh 2 times, select the multiple triangle icon twice<=
/em>:
Improve mesh quality: Mesh > Jiggle Mesh
Are there nodes at the points where the boundary conditions need to be a=
pplied?
Save geometry: File > Save Geometry
Note that the manual for the CSG Tool can be accessed by selecting the <=
span style=3D"color: rgb(102,0,153);">Help button in the GUI.
Export Mesh
Export mesh into redAnTS GUI: Mesh Done (lower=
right)
Enter mesh filename: beam_mesh.mat
(this file can be read fro=
m the redAnTS main GUI)
OK
This puts you back in the main redAnTS GUI. We see under Current Settings that the beam_mesh.dat file is loaded. To plot =
the mesh in this GUI, click on the drop-down menu under Plotting and select Mesh.
Let's move on to Step 3 where we will specify inputs such as material properties and=
boundary conditions.
Go to=
Step 3: Specify Inputs
Go to all MATLAB=
Learning Modules
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