Structural Dynamics

The aim of this course is to deepen the techniques of modal synthesis: truncation effects, structural modifications, and to extend the dynamic models to the situations of structures subjected to large displacements and / or combined loads, to anticipate and control the associated phenomena during the design process: risks of instability and floating. The pedagogical content is based on additional training in the form of courses and TD, a practical session on the effect of a static pre-load on the dynamic behavior of a structure and a project which will serve as a support example.

• Modal synthesis: description of the dynamic behavior of a structure based on the eigenmodes. Definition of the number of modes taken into account depending on the domain Frequency of excitation, effects of modal truncation. Prediction of the effect of a localized structural change.
• Large displacements, static pre-stresses: equations on simple cases, qualitative prediction of the expected phenomena, implementation of simulations.
• TP: modifications of the eigenmodes of a structure subjected to a static loading increasing. Buckling phenomenon.
• BE: project to design a structure or to simulate the behavior of a structure.