# Statistical Energy Analysis

- Statistical Energy Analysis
**Statistical Energy Analysis** or **SEA** is a method for predicting vibration transmission in dynamical systems made of coupled acoustic cavities and structures. The vibrational behavior of the system is described in the energy domain. The energy is here the potential and kinetic energy carried out by the modal resonances of the dynamical system. To solve a problem with SEA, the system must be partitioned into "subsystems", i.e. regions of the system between which one can write a set of power-balanced equations that couples the power injected by the external loads (the sources) and the energies of the various subsystems.

SEA is popular in aerospace and automotive industries where various vibrational problems can be predicted at low cost and on a wide frequency range: random vibration levels of rockets and payloads structures at lift-off, sound transmission in car passenger cabins due to various noise sources (exhaust, engine...).

SEA has originally be stated by R. H. Lyon in early 60s where he found the power exchange relationship between two coupled spring-mass oscillators [*LYON, R.H.; MAIDANIK, R.H.: Power Flow Between Linearly CoupledOscillators, "Journal of the Acoustical Society of America"; 34, pp.623-639, 1962*] . Further on, the theory has been extended to the coupling of continuous dynamic systems (beams, plates, shells) [*LYON, R. H.: "Statistical Energy Analysis of Dynamical Systems", M.I.T. Press, 1975*] .Vibrations are a ubiquitous problem for mechanical engineers which not only cause noise but also reduce life of machinery.Statistical energy analysis is a method of predicting vibro-acoustic response of dynamic structures.

**References**

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