2. Benchmark solution

2.1. Calculation method

This analysis is composed of 5 models:

• Modeling A: In this modeling we will calculate the first three natural frequencies on the original mesh. These values serve as a reference for us to check the functioning of the Rtool tool tool;

• Modeling B: In this modeling we will calculate the first three natural frequencies on a modified mesh. We will release the rotation on an internal node of the post. It will be a knot/knot relaxation;

• Modeling C: In this modeling we will calculate the first three natural frequencies on a modified mesh. The rotation will be relaxed on the three connections between posts and floors. These will be node/plane relaxations;

• Modeling D: In this modeling we will calculate the first three natural frequencies on a modified mesh. We will release the rotation on the edges common between sails and floors. These will be plan/plan relaxations;

• Modeling E: In this modeling, before releasing the DDLcomme in the D modeling, we perform a rigid rotation of the mesh along the global axes X, Y and Z. Then, we repeat the operations done in the D modeling. This last study will confirm the good writing of kinematic relationships by the Rtool tool tool.

2.2. Reference quantities and results

As already mentioned, A modeling gives us a reference for B, C, D models. The simple act of releasing DDLse results in a change in stiffness, which causes a change in the natural modes and frequencies of the model. In addition, the releases are made in directions parallel to the global axes, this makes it possible to verify the kinematic relationships produced by the Rtool tool tool.

In order to test the tool in a more complex case, a rotation of the model is performed for E modeling. Once the rotation has been carried out along the three main axes (rotation of 35° around the X axis, of 50° around the Y axis and of 65° around the Z axis), a new calculation of the natural frequencies is done, after having relaxed the DDLvoiles /floors. In this case, the verification of the kinematic relationships produced by Rtool is much more complex, but a simple comparison with the D modeling is enough to verify the writing of the kinematic relationships produced by the Rtool tool tool.

2.3. Uncertainties about the solution

Completely digital solutions and comparison.