u3.13.02 Mechanical AXIS_FOURIER modeling

Summary:

This document describes for mechanical AXIS_FOURIER modeling:

• the degrees of freedom carried by the finite elements that support modeling,

• the related support meshes,

• the loads supported,

• non-linear possibilities,

• test cases implementing modeling.

Modeling AXIS_FOURIER (Phenomenon: mechanical) corresponds to finite elements whose support meshes are plane and make it possible to model the longitudinal section of pieces of revolution around the axis \(\mathit{OY}\), (in cylindrical coordinates \((r,z,\theta )\)) and subjected to loads whose spatial distribution is broken down into series of FOURIER around this axis.

• 1. Discretization
  • 1.1. Degrees of freedom
  • 1.2. Stiffness matrix support mesh
  • 1.3. Cargo support mesh
• 2. Supported loads
• 3. Nonlinear possibilities
• 4. Examples of implementation: test cases