Structural dynamics

Lecturer(s): Olivier DESSOMBZ
Course ⋅ 16 hPW ⋅ 8 hStudy ⋅ 4 h


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.


Finite elements - modeling - numerical methods - numerical modal analysis - substructuring - modal synthesis - damping


  • 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


Score = 50% knowledge + 50% know-how Knowledge score = final exam Know-how score = continuous assessment