v2.08.012 FORMA12 — Practical work from the « introduction to linear & non-linear dynamic analysis » training course

Summary:

This case is an introduction to using Code_Aster for dynamic transient analysis (linear and non-linear). It treats a thick steel plate, subject to sinusoidal excitation on a vibrating table.

The plate is modelled in 3D elements. Transient analysis on a modal basis is compared with a direct transient analysis. In the last part, the plasticity of steel is taken into account by a non-linear law.

The various models discussed are:

• modeling A: modal analysis;

• B modeling: direct transient;

• C modeling: transient on a modal basis with static correction a priory;

• D modeling: transient on a modal basis with a posteriori static correction;

• E modeling: non-linear transient;

• F modeling: linear transient with contact nonlinearity;

• G modeling: non-linear transient by dynamic substructuring.

The first chapter introduces the geometry and data common to all models.

• 1. Introduction
  • 1.1. Geometry
  • 1.2. Materials
  • 1.3. Boundary conditions and loading
• 2. Modeling A — Modal analysis
  • 2.1. Objectives
  • 2.2. Modal analysis
  • 2.3. Post-treatment
• 3. Modeling B — Direct Transient Analysis
  • 3.1. Problem and sketch of the calculation
  • 3.2. Results
  • 3.3. Taking depreciation into account
• 4. C modeling — transient analysis on a modal basis
  • 4.1. Problem and clues
  • 4.2. Results of calculations on a modal basis without static correction
  • 4.3. Calculations on a modal basis with static correction a priory
  • 4.4. Taking depreciation into account in calculations on a modal basis with static correction a priory
• 5. Model D- static correction a posteriori
  • 5.1. Calculation procedure
  • 5.2. Results
• 6. E-modeling — nonlinear dynamics
  • 6.1. Calculation procedure
  • 6.2. Analysis of the results — Newmark diagram
• 7. F modeling — linear dynamics with localized nonlinearities
  • 7.1. Objective
  • 7.2. Calculation framework
  • 7.3. Meshing
  • 7.4. Dynamic calculation
  • 7.5. Post-treatment and printing of results
  • 7.6. Questions
• 8. G modeling — non-linear dynamics with substructuring
  • 8.1. Objective
  • 8.2. Calculation procedure
  • 8.3. Results