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Statistical energy analysis (SEA) is a method for predicting vibration
Vibration

Vibration refers to mechanical oscillations about an equilibrium point. The oscillations may be periodic function such as the motion of a pendulum or random such as the movement of a tire on a gravel road....
 transmission in dynamical system
Dynamical system

The dynamical system concept is a mathematics formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space....
s 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
Potential energy

Potential energy can be thought of as energy stored within a physical system. It is called potential energy because it has the potential to be converted into other forms of energy, such as kinetic energy, and to do Mechanical work in the process....
 and kinetic energy
Kinetic energy

The kinetic energy of an object is the extra energy which it possesses due to its motion. It is defined as the mechanical work needed to accelerate a body of a given mass from rest to its current velocity....
 carried out by the modal resonance
Resonance

In physics, resonance is the tendency of a system to oscillate at maximum amplitude at certain Frequency, known as the system's resonance frequencies ....
s 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
Aerospace

Aerospace comprises the atmosphere of Earth and surrounding outer space. Typically the term is used to refer to the industry that researches, designs, manufactures, operates, and maintains vehicles moving through Aircraft and Space exploration....
 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.






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Statistical energy analysis (SEA) is a method for predicting vibration
Vibration

Vibration refers to mechanical oscillations about an equilibrium point. The oscillations may be periodic function such as the motion of a pendulum or random such as the movement of a tire on a gravel road....
 transmission in dynamical system
Dynamical system

The dynamical system concept is a mathematics formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space....
s 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
Potential energy

Potential energy can be thought of as energy stored within a physical system. It is called potential energy because it has the potential to be converted into other forms of energy, such as kinetic energy, and to do Mechanical work in the process....
 and kinetic energy
Kinetic energy

The kinetic energy of an object is the extra energy which it possesses due to its motion. It is defined as the mechanical work needed to accelerate a body of a given mass from rest to its current velocity....
 carried out by the modal resonance
Resonance

In physics, resonance is the tendency of a system to oscillate at maximum amplitude at certain Frequency, known as the system's resonance frequencies ....
s 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
Aerospace

Aerospace comprises the atmosphere of Earth and surrounding outer space. Typically the term is used to refer to the industry that researches, designs, manufactures, operates, and maintains vehicles moving through Aircraft and Space exploration....
 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 . Further on, the theory has been extended to the coupling of continuous dynamic systems (beams, plates, shells) . 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.