Structural dynamics

•  Continuum mechanics, linear elasticity (1^st year Mechanics course)
•  If possible, introduction to dynamics (S7/MECAPHY or S8 DMC)

Acquire the fundamental notions around oscillations in continuous media (solids and fluids) and use them to solve industrial problems:
•  Know how to determine and exploit the eigenmodes of a linearized continuous medium
•  Know how to calculate vibration levels for large structures
•  Know the main dynamic instabilities

•  Eigenmodes: definition and application to the case of linear elastic solids, acoustic modes, sloshing modes of fluids
•  Forced responses: introduction of damping, calculation of forced responses, model reduction by truncation and substructuring
•  Some practical issues: rotor vibrations, dynamic absorbers
•  Dynamic instabilities induced by flows or friction: presentation of the mechanisms of divergence, floating, galloping
•  Nonlinear vibrations: limits of linearization, frequency-amplitude dependence, stability

•  Know how to analyze complex structures
•  Master the dimensioning methods in linear dynamics
•  Know how to anticipate complex phenomena of instability
•  Propose reduced representations to minimize computational costs

•  DS : written assessment, 2h (80%)
•  CC : reports on practical work (20%)

•  Course handout (pdf)
•  M. Géradin et D. Rixen, Théorie des Vibrations, Application à la dynamique des structures, Masson, 1993
•  M. Lalanne et G. Ferraris, Rotordynamics Prediction in Engineering. 2nd ed. Wiley, 1998

•  Bruno Cochelin
•  Emmanuelle Sarrouy