Objectives
The dynamic analysis of structures using modal synthesis and finite element methods has found a large number of industrial applications (aeronautics, automotive, shipbuilding, rail, civil engineering). The main goal of this course is to present these methods in a general framework by carrying out in parallel and in interaction a numerical approach and an experimental approach based on vibratory tests. Model correction and the influence of damping are also discussed.
Keywords
Finite elements - modeling - numerical methods - numerical modal analysis - substructuring - modal synthesis - damping
Programme
- Discretization by finite elements
- Modification of the global matrix formulation
- Standard conservative problem
- Spectral problem
- Temporal integration of the transient problem
- Modeling of damping
- Identification of the damping matrices
- Modal synthesis, Sub-structuring
- Disturbance of dynamic models
- Link with design processes
Learning Outcomes
- Model a finite element structure
- Use a general industrial finite element calculation code
- Understand the foundations of finite element methods
- Implement vibration measurements
Assesment
Score = 50% knowledge + 50% know-how Knowledge score = final exam Know-how score = continuous assessment