Statistical Modal Energy Deformation Analysis
Contrary to classical SEA, statistical modal energy distribution analysis (SmEdA), does not assume equipartition of modal energies. Theoretical derivations are based on dual modal formulation described in Maxit and Guyader (Journal of Sound and Vibration 239 (2001) 907) and Maxit (Ph.D. Thesis, Institut National des Sciences Appliquees de Lyon, France 2000) for the general case of coupled continuous elastic systems.
Basic SEA relations describing the power flow exchanged between two oscillators are used to obtain modal energy equations. They permit modal energies of coupled subsystems to be determined from the knowledge of modes of uncoupled subsystems. The link between SEA and SmEdA is established and make it possible to mix the two approaches: SmEdA for subsystems where equipartition is not verified and SEA for other subsystems.
Interaction of the modes of subsystems in SmEdA