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Symmetric Boundary Conditions for a Cylinder

We consider a problem for a quarter of a cylindrical pipe under external and internal pressures.

The center of the model is located at point (1, 1, 1), while the model itself is tilted 45o relative to the X axis. For the symmetry condition, the boundary condition Directional constraint is used. It is proposed to estimate the resulting stresses in a cylindrical coordinate system.

Geometry creation

1. Create the first circular cylinder.

On the command bar, select the module for constructing volume geometry (Mode - Geometry, Entity - Volume, Action - Create).

Select Cylinder from the list of geometric primitives.

Set the following parameters:

Click Apply.

2. Create the second cylinder.

Click Apply.

3. Subtract the second cylinder from the first one.

On the command bar, select the module for constructing volume geometry (Mode - Geometry, Entity - Volume, Action — Boolean).

From the list of operations, select Subtract.

Set the following parameters:

Click Apply.

4. Leave a quarter of the volume (problem symmetry).

On the command bar, select the module for constructing volume geometry (Mode - Geometry, Entity - Volume, Action — Webcut).

Select Coordinate Plane from the list of available section views.

Set the following parameters:

Click Apply.

Do the same, but in the plane ZX:

Click Apply.

As a result, the original volume in the entity tree will be divided by four (Volume 1, Volume 3 и Volume 4).

Delete volumes 1 and 3. To do this, hold down the Ctrl key, select these volumes in the model tree and click Delete in the context menu. As a result, a quarter of the original volume will remain (Volume 4).

5. Rotate the model 45 degrees around the axis х.

On the command bar, select the module for constructing volume geometry (Mode - Geometry, Entity - Volume, Action — Transform).

From the list of possible transformations select Rotate.

Set the following parameters:

Click Apply.

6. Move the model.

On the command bar, select the module for constructing volume geometry (Mode - Geometry, Entity - Volume, Action — Transform).

From the list of possible transformations select Move.

Set the following parameters:

Click Apply.

Thus, a model of a quarter of a cylindrical pipe turned by 45o and centered at the point (1, 1, 1) has been constructed.

Meshing

On the command bar, select the volume mesh module (Mode - Mesh, Entity - Volume, Action - Mesh).

Set the following parameters:

Click Apply Scheme.

Click Mesh.

Setting boundary conditions

1. Set up a link by direction for surface 11.

On the command panel, select the boundary conditions module (Mode - Boundary Conditions, Entity — Direction Restraint, Action - Create).

Set the following parameters:

Click Apply.

2. Set up a link by direction for surface 27.

On the command panel, select the boundary conditions module (Mode - Boundary Conditions, Entity — Direction Restraint, Action - Create).

Set the following parameters:

Click Apply.

3. Set up a link by direction for surface 29.

On the command panel, select the boundary conditions module (Mode - Boundary Conditions, Entity — Direction Restraint, Action - Create).

Set the following parameters:

Click Apply.

4. Set up a link by direction for surface 31.

On the command panel, select the boundary conditions module (Mode - Boundary Conditions, Entity — Direction Restraint, Action - Create).

Set the following parameters:

Click Apply.

5. Apply pressure to the inner edge.

On the command panel, select the boundary conditions module (Mode - Boundary Conditions, Entity — Pressure, Action - Create).

Set the following parameters:

Click Apply.

6. Apply pressure to the top edge.

On the command panel, select the boundary conditions module (Mode - Boundary Conditions, Entity — Pressure, Action - Create).

Set the following parameters:

Click Apply.

Setting the material

In the command bar, select the module for specifying material properties (Mode - Material, Entity - Material Management).

Specify the material name Material 1.

Drag the Isotropic Material label from the left column to the Material Properties column.

Set the following parameters:

Click Apply.

Close the Materials management window.

Setting the block properties

1. Create a block of one material type.

On the command bar, select the block management module (Mode - Blocks, Entity - Block, Action - Add).

Set the following parameters:

Click Apply.

2. Set the block parameters.

On the command bar, select the block management module (Mode - Blocks, Entity - Block, Action - Block properties/parameters).

Set the following parameters:

Click Apply.

Starting calculation

1. Set the type of problem you need to solve.

On the command bar, select the calculation settings module (Mode - Calculation Settings, Calculation Settings - Static, Static - General).

Select:

Click Apply.

Click Start Calculation.

2. In the window that appears, select the directory where the result will be saved and enter the file name.

3. In the case of a successful calculation, the console displays the message: Calculation finished successfully at "date" "time".

Results analysis

1. Open the file with the results. There are three ways to do that.

The FidesysViewer window will appear, in which you can view the calculation results.

To view stresses in a cylindrical coordinate system, connect the Coordinate systems filter and enter the appropriate parameters.

Select in the top line Filter - Alphabetical - Coordinate System Conversions.

In the filter that appears on the Properties page, enter:

Set the parameters of the coordinate system:

Click Apply.

Next, display the Stress CS cylindrical RR on the model. To do this, select the appropriate component:

 

Next, display the Stress CS cylindrical FF:

Using Console Interface

Geometry creating, meshing, setting boundary conditions and materials can be performed using the console interface. Below is a link to the program code that allows you to perform the steps described above manual, you only need to specify the full path and name.

directionrestraint_lame