v2.04.122 SDLV122 - Extrapolation of local measurements on a complete model (3D)

Summary:

This is a \(\mathrm{3D}\) linear dynamics test.

The aim is to test the PROJ_MESU_MODAL command in the case of a \(\mathrm{3D}\) system. This command makes it possible to project experimental dynamic transient responses at a certain number of points on a modal basis of numerical modeling.

This test contains 2 models:

• the projection (of constraints) is based on a basic modal concept such as [mode_meca],

• the projection (of constraints) is based on a modal-based concept such as [modal_basis].

For the 2 models, the experimental measurements provided are identical and make it possible to test the search for nodes facing each other and the taking into account a local orientation.

In both cases, the reference solution is obtained by a direct calculation with Code_Aster; the projection is carried out in the favorable case where the number of modes is equal to the number of measurements. The stress responses obtained after projection are identical to the reference constraints provided in data.

For modeling A, the displacement and deformation responses obtained after projection are in perfect harmony with the reference solutions. The values of the speeds and accelerations deduced from the identified modal contributions are close to those obtained by direct calculation. The slight differences observed are due to the approximation errors caused by the determination of velocities and accelerations via a linear time diagram.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loading
• 2. Benchmark solutions
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
  • 2.4. Bibliography
• 3. Modeling A
  • 3.1. Characteristics of modeling and meshes
  • 3.2. Characteristics of the measures
  • 3.3. Characteristics of the modal base
  • 3.4. Tested sizes and results
• 4. B modeling
  • 4.1. Characteristics of modeling and meshes
  • 4.2. Characteristics of the measurements
  • 4.3. Characteristics of the modal base
  • 4.4. Tested sizes and results
• 5. Summary of results